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question_answer1)
In numbers from 1 to 100 the digit "0" appears____ times.
A)
9 done
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B)
10 done
clear
C)
11 done
clear
D)
12 done
clear
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question_answer2)
How many times the digit "3" appears in numbers from 1 to 100?
A)
18 done
clear
B)
19 done
clear
C)
20 done
clear
D)
21 done
clear
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question_answer3)
How many numbers are there containing 2 digits?
A)
90 done
clear
B)
99 done
clear
C)
100 done
clear
D)
89 done
clear
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question_answer4)
How many times does the digit "1" appear in numbers from 1 to 100?
A)
18 done
clear
B)
19 done
clear
C)
20 done
clear
D)
21 done
clear
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question_answer5)
How many numbers are there containing 3 -digits?
A)
999 done
clear
B)
899 done
clear
C)
900 done
clear
D)
800 done
clear
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question_answer6)
The smallest 4-digit number formed by using the digits 5, 0, 3, 1, 7, only once contains
A)
0 in thousand's place done
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B)
5 in ten's place done
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C)
3 in ten's place done
clear
D)
7 in unit's place done
clear
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question_answer7)
Sum of the greatest 8 digit number and the smallest 9 digit number is
A)
19999999 done
clear
B)
199999999 done
clear
C)
999999999 done
clear
D)
10000999 done
clear
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question_answer8)
The whole number which does not have a predecessor is
A)
100 done
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B)
0 done
clear
C)
1 done
clear
D)
9 done
clear
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question_answer9)
The number with which is multiplied by 100 the product remains the same is
A)
100 done
clear
B)
0 done
clear
C)
\[\frac{a}{b}+\frac{c}{d}(c\ne 0)=\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}\] done
clear
D)
1 done
clear
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question_answer10)
Smallest 6-digit number that can be formed by the digits 9,6,0,5,8,1 is
A)
0,15,689 done
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B)
1,05,689 done
clear
C)
5,01,689 done
clear
D)
9,86,510 done
clear
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question_answer11)
\[ad,bc\in I,bc\ne 0\] is an example of
A)
Closure property done
clear
B)
Commutative property done
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C)
Associative property done
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D)
distributive property done
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question_answer12)
\[a=\frac{p}{q},b=\frac{r}{s},c=\frac{l}{m}\] is an example of
A)
Commutative property done
clear
B)
Associative property done
clear
C)
Closure property done
clear
D)
Distributive property done
clear
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question_answer13)
Successor of 301,999 is_______.
A)
30,200 done
clear
B)
302,000 done
clear
C)
302,010 done
clear
D)
301,100 done
clear
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question_answer14)
The least natural number is ____ .
A)
0 done
clear
B)
1 done
clear
C)
9 done
clear
D)
does not exist done
clear
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question_answer15)
The property represented by \[p,q,r,s,l,m\in I,q\ne 0,s\ne 0,m\ne 0.\]is
A)
Commutative property done
clear
B)
Associative property done
clear
C)
Distributive property done
clear
D)
None of these done
clear
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question_answer16)
The product of two odd numbers is
A)
An even number done
clear
B)
An odd number done
clear
C)
Cannot be determined done
clear
D)
None of these done
clear
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question_answer17)
What least number must be subtracted from 13,601 to get a number exactly divisible by 87?
A)
25 done
clear
B)
29 done
clear
C)
27 done
clear
D)
23 done
clear
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question_answer18)
The two consecutive prime numbers with difference 2 are called
A)
Co-primes done
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B)
twin primes done
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C)
Composite done
clear
D)
none of these done
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question_answer19)
An example for twin primes is
A)
5, 11 done
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B)
3, 5 done
clear
C)
11, 17 done
clear
D)
3, 7 done
clear
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question_answer20)
Successor of every even number is
A)
even done
clear
B)
prime done
clear
C)
odd done
clear
D)
none of these done
clear
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question_answer21)
The L.C.M of two numbers is x and their H.C.F is y. The product of two numbers is
A)
\[a+b=b+a\] done
clear
B)
\[a\times b=b\times a\] done
clear
C)
\[(a+b)+c=a+(b+c)\] done
clear
D)
\[(a\times b)\times c=a\times (b\times c)\] done
clear
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question_answer22)
The H.C.F of two number is 28 and their L.C.M is 336. If one number is 112 then the other number is
A)
64 done
clear
B)
84 done
clear
C)
34 done
clear
D)
None of these done
clear
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question_answer23)
Which of the following statement is true?
A)
1 is the smallest prime number done
clear
B)
Every prime number is an odd number done
clear
C)
The sum of two prime numbers is always a prime number done
clear
D)
None of these done
clear
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question_answer24)
Which of the following number is divisible by 11?
A)
3,116,365 done
clear
B)
901,351 done
clear
C)
8,790,322 done
clear
D)
None of these done
clear
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question_answer25)
The sum of the prime numbers between 90 and 100 is
A)
188 done
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B)
281 done
clear
C)
376 done
clear
D)
97 done
clear
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question_answer26)
The HCF and LCM of two numbers is 16 and 192 respectively if one of the numbers is 64, the other one is
A)
48 done
clear
B)
24 done
clear
C)
72 done
clear
D)
None of these done
clear
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question_answer27)
Thesma Uest number which when divided by 4,6,10,15 gives the same remainder 3 is
A)
57 done
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B)
123 done
clear
C)
63 done
clear
D)
39 done
clear
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question_answer28)
The set of negative natural numbers and whole numbers is called as
A)
Natural numbers done
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B)
integers done
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C)
Positive numbers done
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D)
0 done
clear
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question_answer29)
The number which is neither positive nor negative is
A)
1 done
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B)
5 done
clear
C)
0 done
clear
D)
10 done
clear
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question_answer30)
Smallest negative number
A)
\[-1\] done
clear
B)
\[-10\] done
clear
C)
0 done
clear
D)
does not exist done
clear
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question_answer31)
Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of those parts. The total number of chocolates that she has eaten is
A)
\[a+0=a=0+a\] done
clear
B)
\[a\times 1=a=1\times a\] done
clear
C)
\[a+(-a)=0=(-a)+a\] done
clear
D)
\[a\times \frac{1}{a}=1=\frac{1}{a}\times a\] done
clear
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question_answer32)
If\[\frac{1}{a}\], then \[a\times (b+c)=a\times b+a\times c\]
A)
1.1 done
clear
B)
1.01 done
clear
C)
0.11 done
clear
D)
11 done
clear
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question_answer33)
The smallest possible decimal fraction up to three decimal places is
A)
0.101 done
clear
B)
0.111 done
clear
C)
0.001 done
clear
D)
0.011 done
clear
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question_answer34)
The H.C.F of two numbers is 68 and their LCM is 2142. If one of the numbers is 204, the other number is:
A)
741 done
clear
B)
742 done
clear
C)
714 done
clear
D)
357 done
clear
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question_answer35)
Division of \[(b+c)\times a=b\times a+c\times a\] by 3 gives
A)
\[-\,2.4572\] done
clear
B)
\[\bar{1}.7905\] done
clear
C)
\[\overline{2}.4572\,\] done
clear
D)
\[\overline{2}.5472\] done
clear
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question_answer36)
Given \[3=\frac{3}{1}\]the value of \[0=\frac{0}{1}\]correct to 3 decimal places is:
A)
15.652 done
clear
B)
11.180 done
clear
C)
18.652 done
clear
D)
16.652 done
clear
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question_answer37)
The bells begin tolling at the same time and continued to do so at intervals of 21, 28, 30 seconds respectively The bells will toll together again after
A)
7 seconds done
clear
B)
420 seconds done
clear
C)
630 seconds done
clear
D)
1764 seconds done
clear
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question_answer38)
The HCF of two numbers is 9 and their LCM is 270. It the sum of the numbers is 99, their difference is equal to
A)
18 done
clear
B)
15 done
clear
C)
12 done
clear
D)
9 done
clear
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question_answer39)
If x, y, z, are positive real number and a, b, c are rational numbers, then the value of \[\frac{1}{1+{{x}^{b-a}}+{{x}^{c-a}}}+\frac{1}{1+{{x}^{a-b}}+{{x}^{c-b}}}+\frac{1}{1+{{x}^{b-c}}+{{x}^{a-c}}}\]is
A)
\[-1\] done
clear
B)
1 done
clear
C)
0 done
clear
D)
none of these done
clear
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question_answer40)
The value of \[a<\frac{a+b}{a}<b\]is equal to
A)
0 done
clear
B)
1 done
clear
C)
2m done
clear
D)
none of these done
clear
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question_answer41)
A number other than one which is either divisible by 1 or itself is called a
A)
composite number done
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B)
prime number done
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C)
coprime number done
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D)
none of these done
clear
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question_answer42)
\[\frac{p}{q};p,q\in I,\]is a_____.
A)
Positive rational number done
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B)
Negative rational number done
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C)
Either positive or negative rational number done
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D)
Does not exist done
clear
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question_answer43)
The rational number \[q\ne 0\]
A)
has a positive numerator done
clear
B)
has a negative numerator done
clear
C)
has either a positive numerator or a negative numerator done
clear
D)
has neither a positive numerator nor a negative numerator done
clear
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question_answer44)
Addition of rational numbers does not satisfy which of the following property?
A)
Commutative done
clear
B)
associative done
clear
C)
Closure done
clear
D)
all of these done
clear
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question_answer45)
\[\sqrt{3}\]This property is
A)
Closure done
clear
B)
commutative done
clear
C)
Associative done
clear
D)
identity done
clear
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question_answer46)
\[\sqrt{3}\] can be expressed in the rational form as
A)
\[\sqrt{4}\] done
clear
B)
\[\sqrt{4}=2\] done
clear
C)
\[\sqrt{2},\sqrt{5},\sqrt{6},2\sqrt{3},5\sqrt{7},\sqrt{2}+\sqrt{3},\] done
clear
D)
\[\sqrt[3]{2},\sqrt[3]{3},\sqrt[3]{4},\] done
clear
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question_answer47)
\[2+\sqrt{3}\]
A)
\[\pi \] done
clear
B)
\[\frac{22}{7}\] done
clear
C)
\[\pi \] done
clear
D)
0.45 done
clear
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question_answer48)
By what number should we multiply \[\sqrt{2},\sqrt{3},\sqrt{5},\sqrt{6},\sqrt{7},\sqrt{8},\sqrt{11}\] so that the product may be equal to 64?
A)
\[0.\overline{3}=3/9\] done
clear
B)
\[1/3\] done
clear
C)
\[0.\overline{387}=387/999\] done
clear
D)
None of these done
clear
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question_answer49)
\[0.74\overline{35}=\frac{7435-74}{9900}=\frac{7361}{9900},\]
A)
0 done
clear
B)
1 done
clear
C)
\[-1\] done
clear
D)
2 done
clear
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question_answer50)
If \[{{3}^{x}}=500\] then the value of \[{{3}^{x-2}}\] is
A)
\[N\subseteq W\] done
clear
B)
\[|x+y|\le |x|+|y|\] done
clear
C)
\[|x\times y|=|x|\times |y|\] done
clear
D)
\[|x-y|\le |x|-|y|\] done
clear
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question_answer51)
The least number of 4 digits which is a perfect square is
A)
1000 done
clear
B)
1004 done
clear
C)
1016 done
clear
D)
1024 done
clear
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question_answer52)
The least number which must be subtracted from 2509 to make it a perfect square is
A)
6 done
clear
B)
9 done
clear
C)
12 done
clear
D)
14 done
clear
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question_answer53)
The smallest number by which 396 must be multiplied so that the product becomes a perfect square is
A)
5 done
clear
B)
11 done
clear
C)
3 done
clear
D)
2 done
clear
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question_answer54)
\[\sqrt{2}\]
A)
equals 1 done
clear
B)
Lies between 0 and 1 done
clear
C)
lies between I and 2 done
clear
D)
is greater than 2 done
clear
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question_answer55)
A four digit perfect square number who?s first two digits and last two digits taken separately are also perfect square numbers is
A)
1681 done
clear
B)
1636 done
clear
C)
3664 done
clear
D)
6481 done
clear
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question_answer56)
The square root of a perfect square containing 'n' digits has_____ digits.
A)
\[\sqrt{3}\] done
clear
B)
\[\frac{52}{125}\] done
clear
C)
1 or 2 done
clear
D)
None of these done
clear
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question_answer57)
\[\pi \]is
A)
Rational done
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B)
irrational done
clear
C)
Imaginary done
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D)
an integer done
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question_answer58)
Express \[\sqrt{3}=1.732,\] as rational number.
A)
\[\frac{\sqrt{2}+\sqrt{3}}{2}\] done
clear
B)
\[(2+\sqrt{3})\] done
clear
C)
\[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{q} \right),\text{C}-\left( \text{r} \right),\text{D}-\left( \text{p} \right)\] done
clear
D)
None of these done
clear
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question_answer59)
An irrational number is
A)
a terminating and non-repeating decimal done
clear
B)
a non-terminating and non-repeating decimal done
clear
C)
a terminating and repeating decimal done
clear
D)
a non-terminating and repeating decimal done
clear
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question_answer60)
The value of \[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\] is
A)
\[-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\] done
clear
B)
\[\left( \text{d} \right)~~\text{A}-\left( \text{r} \right),\text{B}-\left( \text{s} \right),\text{C}-\left( \text{p} \right),\text{D}-\left( \text{q} \right)\] done
clear
C)
\[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{q} \right),\text{D}-\left( \text{p} \right)\] done
clear
D)
\[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\] done
clear
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question_answer61)
If \[~\text{A}-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\] then the value of \[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{s} \right),\text{C}-\left( \text{p} \right),\text{D}-\left( \text{q} \right)\] is close to
A)
1.2245 done
clear
B)
0.816 done
clear
C)
0.613 done
clear
D)
2.449 done
clear
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question_answer62)
Which of the following statement is true?
A)
Cubes of all even natural numbers are even done
clear
B)
Cubes of all odd natural numbers are odd done
clear
C)
Cubes of negative integers are negative done
clear
D)
All the above done
clear
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question_answer63)
The smallest number by which 2560 must be multiplied so that the product is a perfect cube is
A)
5 done
clear
B)
25 done
clear
C)
10 done
clear
D)
15 done
clear
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question_answer64)
The smallest number by which 8788 must be divided so that the quotient is a perfect cube is
A)
4 done
clear
B)
12 done
clear
C)
16 done
clear
D)
32 done
clear
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question_answer65)
The value of \[\sqrt{2}\] is
A)
28 done
clear
B)
-28 done
clear
C)
18 done
clear
D)
-18 done
clear
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question_answer66)
The value of \[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{q} \right),\text{D}-\left( \text{p} \right)\]is
A)
64 done
clear
B)
32 done
clear
C)
Cannot be determined done
clear
D)
None of these done
clear
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question_answer67)
Simplify \[{{(32)}^{\frac{-2}{5}}}\div {{(125)}^{\frac{-2}{3}}}\]
A)
\[\text{A}-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\] done
clear
B)
\[\left( \text{d} \right)~~\text{A}-\left( \text{r} \right),\text{B}-\left( \text{s} \right),\text{C}-\left( \text{p} \right),\text{D}-\left( \text{q} \right)\] done
clear
C)
\[H.C.F\times L.C.M.=a\times b\] done
clear
D)
\[\text{=}\frac{\text{HCF of a and b}}{\text{a }\!\!\times\!\!\text{ b}}\] done
clear
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question_answer68)
The value of \[5\sqrt{3}\]is
A)
0 done
clear
B)
1 done
clear
C)
\[a=bq+r.0\le r<b\] done
clear
D)
15 done
clear
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question_answer69)
The value of\[q\ne 0\]is
A)
\[\frac{5}{16},\frac{15}{24}\] done
clear
B)
\[\frac{25}{8}\] done
clear
C)
\[\frac{5}{48}\] done
clear
D)
\[\frac{5}{8}\] done
clear
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question_answer70)
The value of \[\frac{75}{48}\] is
A)
1 done
clear
B)
10 done
clear
C)
100 done
clear
D)
none of these done
clear
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question_answer71)
Find the value of \[\frac{75}{8}\]is equal to:
A)
0 done
clear
B)
\[\frac{8}{21},\frac{12}{35},\] done
clear
C)
x done
clear
D)
1/x done
clear
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question_answer72)
Which one of the following is not true?
A)
There does not exist any rational number whose square is 4 done
clear
B)
There does not exist any rational number whose square is 5 done
clear
C)
There does not exist any rational number whose square is 2 done
clear
D)
None of these done
clear
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question_answer73)
If x and y are two positive real numbers, then, x > y implies:
A)
\[\frac{32}{7}\] done
clear
B)
\[\frac{4}{105}\] done
clear
C)
\[\frac{192}{7}\] done
clear
D)
\[\frac{4}{7}\] done
clear
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question_answer74)
If A and B are real numbers and\[\frac{5}{109}\], then:
A)
\[\left[ {{\left( \frac{1}{4} \right)}^{2}}-{{\left( \frac{1}{4} \right)}^{3}} \right]\times {{2}^{6}}\] done
clear
B)
\[\frac{p}{q}={{\left( \frac{2}{3} \right)}^{3}}\div {{\left( \frac{3}{2} \right)}^{-3}}\] done
clear
C)
\[{{\left( \frac{p}{q} \right)}^{-10}}=\_\_\_\_\_\_\_\_\] done
clear
D)
\[x*y=\sqrt{{{x}^{2}}+{{y}^{2}}}\] done
clear
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question_answer75)
The value of\[(1*2\sqrt{2})(1*-2\sqrt{2})\]is
A)
3/2 done
clear
B)
-3/2 done
clear
C)
2/3 done
clear
D)
-1/2 done
clear
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question_answer76)
The value of \[{{3}^{3x-5}}=\frac{1}{{{9}^{x}}}\]is:
A)
\[{{(64)}^{\frac{-2}{3}}}\times {{\left( \frac{1}{4} \right)}^{-3}}\] done
clear
B)
\[x=7+4\sqrt{3},\] done
clear
C)
\[\sqrt{x}+\frac{1}{\sqrt{x}}\] done
clear
D)
None of these done
clear
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question_answer77)
If A is the HCF of 546, 294 and 3066; and B is the L.C.M of 42, 14 and 21, what is the relationship between A and B?
A)
\[=(99-10)+1=89+1=90\] done
clear
B)
\[=(999-100)+1\] done
clear
C)
\[=899+1=900\] done
clear
D)
None of these done
clear
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question_answer78)
A two digit number is divisible by 3 and 4. Also the difference between the unit's digit and the ten's digit is equal to 4. The number is:
A)
96 done
clear
B)
48 done
clear
C)
36 done
clear
D)
72 done
clear
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question_answer79)
The only prime number which is even is
A)
2 done
clear
B)
4 done
clear
C)
6 done
clear
D)
none of these done
clear
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question_answer80)
Choose the rational number which does not lie between rational numbers \[100\times 1=100\]and \[a(b+c)=(a\times b)+(a\times c)\]:
A)
\[301999+1=30200\] done
clear
B)
\[=\frac{{{2}^{1/2}}\times {{3}^{1/3}}\times {{4}^{1/4}}}{{{10}^{-1/5}}\times {{5}^{3/5}}}\div \frac{{{2}^{-4/3}}\times {{5}^{-7/5}}}{{{2}^{-6/5}}\times {{2}^{-1/3}}\times {{3}^{-1/3}}}\] done
clear
C)
\[=\frac{{{2}^{6/5}}\times {{3}^{1/3}}}{{{5}^{2/5}}}\div \frac{{{2}^{1/5}}\times {{3}^{1/3}}}{{{5}^{7/5}}}\] done
clear
D)
\[={{2}^{\frac{6}{5}-\frac{1}{5}}}\times {{5}^{\frac{7}{5}-\frac{2}{5}}}=2\times 5=10.\] done
clear
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question_answer81)
The simplest rationalizing factor of \[\frac{{{6}^{n+3}}-{{32.6}^{n+1}}}{{{6}^{n+2}}-{{2.6}^{n+1}}}=\frac{{{6}^{n+1}}.(36-32)}{{{6}^{n+1}}(6-2)}=1.\] is
A)
\[p,q,r,s,l,m\in I,q\ne 0,s\ne 0,m\ne 0.\] done
clear
B)
\[a+b=b+a\] done
clear
C)
\[a\times b=b\times a\] done
clear
D)
none of these done
clear
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question_answer82)
The value of \[(a+b)+c=a+(b+c)\] on simplification is
A)
13 done
clear
B)
12 done
clear
C)
11 done
clear
D)
10 done
clear
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question_answer83)
The exponential form of\[(a\times b)\times c=a\times (b\times c)\] is
A)
\[a+0=a=0+a\] done
clear
B)
\[a\times 1=a=1\times a\] done
clear
C)
\[a+(-a)=0=(-a)+a\] done
clear
D)
6 done
clear
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question_answer84)
The value of \[a\times \frac{1}{a}=1=\frac{1}{a}\times a\] is equal to
A)
1 done
clear
B)
\[\frac{1}{a}\] done
clear
C)
\[a\times (b+c)=a\times b+a\times c\] done
clear
D)
\[(b+c)\times a=b\times a+c\times a\] done
clear
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question_answer85)
The value of \[\frac{{{2}^{1/2}}\times {{3}^{1/4}}\times {{4}^{1/4}}}{{{10}^{-1/5}}\times {{5}^{3/5}}}\div \frac{{{4}^{-2/3}}\times {{5}^{-7/5}}}{{{4}^{-3/5}}\times {{6}^{-1/3}}}\]is equal to
A)
10 done
clear
B)
1 done
clear
C)
6 done
clear
D)
18 done
clear
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question_answer86)
The value of \[0=\frac{0}{1}\] is equal to
A)
36 done
clear
B)
1/6 done
clear
C)
2 done
clear
D)
1 done
clear
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question_answer87)
The number which is neither prime nor composite is
A)
0 done
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B)
1 done
clear
C)
2 done
clear
D)
5 done
clear
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question_answer88)
The H.C.F of \[\frac{2}{5},\frac{6}{25}\] and \[\frac{8}{35}\] is
A)
\[\frac{p}{q};p,q\in I,\] done
clear
B)
\[q\ne 0\] done
clear
C)
\[\sqrt{3}\] done
clear
D)
\[\sqrt{3}\] done
clear
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question_answer89)
Which of the following is not a composite number?
A)
4 done
clear
B)
6 done
clear
C)
7 done
clear
D)
8 done
clear
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question_answer90)
\[3.\overline{25}\] is equal to
A)
\[\sqrt{4}=2\] done
clear
B)
\[\sqrt{2},\sqrt{5},\sqrt{6},2\sqrt{3},5\sqrt{7},\sqrt{2}+\sqrt{3},\] done
clear
C)
\[\sqrt[3]{2},\sqrt[3]{3},\sqrt[3]{4},\] done
clear
D)
\[2+\sqrt{3}\] done
clear
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question_answer91)
The smallest number which when divided by 20, 25, 35 and 40 and leaves a remainder of 14, 19, 29 and 34, respectively is
A)
1394 done
clear
B)
1404 done
clear
C)
1664 done
clear
D)
1406 done
clear
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question_answer92)
The LCM of two numbers is x and their HCF is y. The product of two numbers is
A)
\[\pi \] done
clear
B)
\[\frac{22}{7}\] done
clear
C)
\[\pi \] done
clear
D)
xy done
clear
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question_answer93)
The least number which when decreased by 7 is exactly divisible by 12, 16, 18, 21 and 28 is
A)
1012 done
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B)
1008 done
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C)
1015 done
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D)
1022 done
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question_answer94)
Four bells ring at intervals of 6, 7, 8 and 9 seconds respectively. All the bells ring together after_______ seconds.
A)
504 done
clear
B)
516 done
clear
C)
508 done
clear
D)
512 done
clear
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question_answer95)
The greatest number that will divide 137, 182 and 422 leaving a remainder of 2 in each case is
A)
15 done
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B)
12 done
clear
C)
21 done
clear
D)
none of these done
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question_answer96)
The greatest number which when divides 258 and 323 leaving remainders 2 and 3, respectively is
A)
32 done
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B)
64 done
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C)
16 done
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D)
128 done
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question_answer97)
There are 264 girls and 408 boys in a school. These children are to be divided into groups of equal numbers of boys and girls. The maximum number of boys or girls in each group will be
A)
11 done
clear
B)
17 done
clear
C)
24 done
clear
D)
26 done
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question_answer98)
When a number is divided by 125, the remainder is 82. When the same number is divided by 25, the remainder will be
A)
8 done
clear
B)
9 done
clear
C)
6 done
clear
D)
7 done
clear
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question_answer99)
The last digit of the number\[{{(373)}^{333}}\]is
A)
1 done
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B)
2 done
clear
C)
3 done
clear
D)
9 done
clear
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question_answer100)
The two missing numbers shown with asterisk in the equation\[5\frac{3}{*}\times *\frac{1}{2}=19\]are
A)
6, 3 done
clear
B)
7, 3 done
clear
C)
8, 3 done
clear
D)
11, 3 done
clear
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question_answer101)
The least perfect square exactly divisible by each of the numbers 6, 9, 15 and 20 is
A)
3600 done
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B)
900 done
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C)
400 done
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D)
225 done
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question_answer102)
Choose the wrong statement:
A)
There is no largest natural number done
clear
B)
There is no largest whole number done
clear
C)
Every natural number is a whole number done
clear
D)
All natural numbers together with zero are called integers done
clear
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question_answer103)
If \[0.\overline{3}=3/9\], then the value of \[1/3\]is
A)
34 done
clear
B)
35 done
clear
C)
36 done
clear
D)
37 done
clear
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question_answer104)
If \[0.\overline{387}=387/999\]then the value of \[0.74\overline{35}=\frac{7435-74}{9900}=\frac{7361}{9900},\] is
A)
194 done
clear
B)
196 done
clear
C)
198 done
clear
D)
200 done
clear
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question_answer105)
If\[0.1\overline{27}=\frac{127-1}{990}=\frac{7}{55}\]then the value of\[W=N\cup \{0\}\]is
A)
193 done
clear
B)
194 done
clear
C)
195 done
clear
D)
196 done
clear
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question_answer106)
Which of the following statement is true?
A)
Every whole number is a natural number done
clear
B)
Every natural number is a whole number done
clear
C)
'1' is the least whole number done
clear
D)
None of these done
clear
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question_answer107)
The property represented by \[N\subseteq W\] is
A)
Associative property done
clear
B)
Commutative property done
clear
C)
Closure property done
clear
D)
Additive identity done
clear
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question_answer108)
Which of the following statements is correct?
A)
0 is called the additive identity for rational numbers, done
clear
B)
1 is called the multiplicative identity for rational numbers. done
clear
C)
The additive inverse of 0 is zero itself. done
clear
D)
All the above done
clear
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question_answer109)
If x and y are two rational numbers, then which of the following statements is wrong?
A)
\[|x+y|\,\le \,|x|+|y|\] done
clear
B)
\[|x\times y|\,=\,|x|\times |y|\] done
clear
C)
\[|x-y|\,\le \,|x|-|y|\] done
clear
D)
None of these done
clear
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question_answer110)
Which of the following statement is false?
A)
Every fraction is a rational number done
clear
B)
Every rational number is a fraction done
clear
C)
Every integer is a rational number done
clear
D)
All the above done
clear
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question_answer111)
Match column I with column II and select the correct answer using the code given below the columns:
Column-I | Column-II |
A. An irrational number between \[\sqrt{2}\] and \[\sqrt{3}\] is | (p) \[\frac{52}{125}\] |
B. Value of 0.424 is | (q) \[2-\sqrt{3}\] |
C. If \[\sqrt{3}=1.732,\] then | (r) \[\frac{\sqrt{2}+\sqrt{3}}{2}\]value of \[(2+\sqrt{3})\]is |
D. Rationalising factor of \[(2+\sqrt{3})\] is | (s) 3732 |
A)
\[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{q} \right),\text{C}-\left( \text{r} \right),\text{D}-\left( \text{p} \right)\] done
clear
B)
\[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\] done
clear
C)
\[\text{A}-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\] done
clear
D)
\[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{s} \right),\text{C}-\left( \text{p} \right),\text{D}-\left( \text{q} \right)\] done
clear
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question_answer112)
Match column I with column II and select the correct answer using the code given below the columns:
Column ? I | Column - II |
A. Only even prime is | (p) 9 |
B. Number which is neither prime nor composite is | (q) 3 |
C. H.C.F of 12, 15, 21 | (r) 1 |
D. H.C.F (306, 657) | (s) 2 |
A)
\[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{q} \right),\text{D}-\left( \text{p} \right)\] done
clear
B)
\[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\] done
clear
C)
\[~\text{A}-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\] done
clear
D)
\[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{s} \right),\text{C}-\left( \text{p} \right),\text{D}-\left( \text{q} \right)\] done
clear
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question_answer113)
Match column I with column II and select the correct answer using the code given below the columns:
Column ? I | Column - II |
A. 12 is a | (p) prime number |
B. 2, 7 are | (q) not a rational number |
C. 2 is a | (r) composite number |
D. \[\sqrt{2}\] | (s) coprime numbers |
A)
\[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{q} \right),\text{D}-\left( \text{p} \right)\] done
clear
B)
\[~\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\] done
clear
C)
\[\text{A}-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\] done
clear
D)
\[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{s} \right),\text{C}-\left( \text{p} \right),\text{D}-\left( \text{q} \right)\] done
clear
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question_answer114)
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): The H.C.F. of two numbers is 16 and their product is 3072. Then their L.C.M. = 162 Reason (R): If a, b are two positive integers, then \[H.C.F\times L.C.M.=a\times b\]
A)
Both A and R are individually true and R is the correct explanation of A: done
clear
B)
Both A and R are individually true but R is not the correct explanation of. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true. done
clear
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question_answer115)
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): 2 is a rational number. Reason (R): The square roots of all positive integers are irrationals.
A)
Both A and R are individually true and R is the correct explanation of A: done
clear
B)
Both A and R are individually true but R is not the correct explanation of. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true. done
clear
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question_answer116)
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion: (3, 5) and (17, 19) are twin primes Reason: A pair of primes which differ by 2 are called twin primes
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true. done
clear
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question_answer117)
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion: LCM 404 and 96 is 9696 Reason: If a and b are two positive integers then LCM of a and b \[\text{=}\frac{\text{HCF of a and b}}{\text{a }\!\!\times\!\!\text{ b}}\]
A)
Both A and R are individually true and R is the correct explanation of A: done
clear
B)
Both A and R are individually true but R is not the correct explanation of. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true. done
clear
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question_answer118)
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion: \[5\sqrt{3}\] is an irrational number. Reason: For any two given integers a and b there exist unique integers q and r satisfying \[a=bq+r.0\le r<b\]
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true. done
clear
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question_answer119)
Which one of the following is the correct definition of twin prime?
A)
The numbers which can be expressed in the form of p/q, where p, q are integers and\[q\ne 0\]. done
clear
B)
Pair of prime numbers which have only one composite number between them. done
clear
C)
Numbers having only one as common factor. done
clear
D)
Natural numbers having more than two factors. done
clear
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question_answer120)
Which one of the following is the correct definition of exponent?
A)
If the product of two surds is a rational number, then each surd is called a exponent of the other. done
clear
B)
The set of rational and irrational numbers taken together. done
clear
C)
The repeated multiplications of the same factor. done
clear
D)
A surd which consists of three terms. done
clear
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question_answer121)
Which one of the following explains correctly?
A)
A number is divisible by 11, if the difference of the sum of the alternative digits is zero or a multiple of 11. done
clear
B)
A number is divisible by 11, if the last digit of that number is odd. done
clear
C)
If the sum of the digits of a given number is divisible by 11, then that number is divisible by 11. done
clear
D)
Given number is divisible by 11, if it is divisible by both 3 and 7. done
clear
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question_answer122)
The L.C.M. of the fractions \[\frac{5}{16},\frac{15}{24}\] and \[\frac{25}{8}\] is
A)
\[\frac{5}{48}\] done
clear
B)
\[\frac{5}{8}\] done
clear
C)
\[\frac{75}{48}\] done
clear
D)
\[\frac{75}{8}\] done
clear
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question_answer123)
The H.C.F. of the fractions \[\frac{8}{21},\frac{12}{35},\] and \[\frac{32}{7}\] is
A)
\[\frac{4}{105}\] done
clear
B)
\[\frac{192}{7}\] done
clear
C)
\[\frac{4}{7}\] done
clear
D)
\[\frac{5}{109}\] done
clear
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question_answer124)
Consider the following statements. H.C.F of two numbers always divides their L.C.M. H.C.F of two co-prime numbers is 1. L.C.M of two co-prime numbers is product of the numbers. Which of the statement given above is/are correct?
A)
only (iii) done
clear
B)
and (ii) done
clear
C)
all (i), (ii) and (iii) done
clear
D)
none done
clear
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question_answer125)
DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. The least whole number is *-correct-answer-description-* Least whole number is 0. *-question-type-* 2 *-question-instructions-* 0
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question_answer126)
DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. What least number should be added to 1330 to get a number exactly divisible by 43____? *-correct-answer-description-* Since, 1333 is exactly divisible by 43. *-question-type-* 2 *-question-instructions-* 0
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question_answer127)
DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. Least prime number is ____ *-correct-answer-description-* Last prime Number is 2. *-question-type-* 2 *-question-instructions-* 0
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question_answer128)
DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. The value of \[\left[ {{\left( \frac{1}{4} \right)}^{2}}-{{\left( \frac{1}{4} \right)}^{3}} \right]\times {{2}^{6}}\] is *-correct-answer-description-* \[\left[ {{\left( \frac{1}{4} \right)}^{2}}-{{\left( \frac{1}{4} \right)}^{3}} \right]\times {{2}^{6}}={{\left( \frac{1}{4} \right)}^{2}}\left[ 1-\frac{1}{4} \right]\times {{2}^{6}}\] \[=\frac{1}{16}\times \frac{3}{4}\times 64=3\] *-question-type-* 2 *-question-instructions-* 0
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question_answer129)
DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. If \[\frac{p}{q}={{\left( \frac{2}{3} \right)}^{3}}\div {{\left( \frac{3}{2} \right)}^{-3}}\] then the value of \[{{\left( \frac{p}{q} \right)}^{-10}}=\_\_\_\_\_\_\_\_\] *-correct-answer-description-* \[\frac{p}{q}={{\left( \frac{2}{3} \right)}^{3}}\div {{\left( \frac{3}{2} \right)}^{-3}}={{\left( \frac{2}{3} \right)}^{3}}\div {{\left( \frac{2}{3} \right)}^{3}}=1\] \[\therefore \,\,\,{{\left( \frac{p}{q} \right)}^{-10}}={{(1)}^{-10}}=1\] *-question-type-* 2 *-question-instructions-* 0
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question_answer130)
DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. If \[x*y=\sqrt{{{x}^{2}}+{{y}^{2}}},\]the value of \[(1*2\sqrt{2})(1*-2\sqrt{2})\] is _________ *-correct-answer-description-* \[1*2\sqrt{2}=\sqrt{{{(1)}^{2}}+{{(2\sqrt{2})}^{2}}}=\sqrt{1+8}=3\] \[1*-2\sqrt{2}=\sqrt{{{(1)}^{2}}+{{(-2\sqrt{2})}^{2}}}=\sqrt{1+8}=3\] \[\left( 1*2\sqrt{2} \right)\left( 1*-2\sqrt{2} \right)=(3)(3)=9\] *-question-type-* 2 *-question-instructions-* 0
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question_answer131)
DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. The solution of \[{{3}^{3x-5}}=\frac{1}{{{9}^{x}}}\] is *-correct-answer-description-* \[{{3}^{3x-5}}=\frac{1}{{{9}^{x}}}\] \[{{3}^{3x-5}}={{3}^{-2x}}\] \[3x-5=-2x\] \[x=1\] *-question-type-* 2 *-question-instructions-* 0
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question_answer132)
DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. \[{{(64)}^{\frac{-2}{3}}}\times {{\left( \frac{1}{4} \right)}^{-3}}\]equals to _________ *-correct-answer-description-* \[{{(64)}^{\frac{-2}{3}}}\times {{\left( \frac{1}{4} \right)}^{-3}}={{({{4}^{3}})}^{\frac{-2}{3}}}\times {{\left( \frac{1}{4} \right)}^{-3}}\] \[={{4}^{-2}}\times \frac{1}{{{4}^{-3}}}=4.\] *-question-type-* 2 *-question-instructions-* 0
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question_answer133)
DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. If \[x=7+4\sqrt{3},\]then the value of\[\sqrt{x}+\frac{1}{\sqrt{x}}\]is _______ *-correct-answer-description-* Given \[x=7+4\sqrt{3}={{\left( 2+\sqrt{3} \right)}^{2}}\] \[\therefore \] \[\sqrt{x}=2+\sqrt{3}\] Now, \[\sqrt{x}+\frac{1}{\sqrt{x}}=\frac{x+1}{\sqrt{x}}=\frac{4\left( 2+\sqrt{3} \right)}{2+\sqrt{3}}=4\] *-question-type-* 2 *-question-instructions-* 0
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