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question_answer1)
If \[\frac{\mathbf{3}}{\mathbf{x-1}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{x-3}}\mathbf{=}\frac{\mathbf{4}}{\mathbf{x-2}}\]then x =?
A)
-4 done
clear
B)
4 done
clear
C)
3 done
clear
D)
-2 done
clear
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question_answer2)
If \[\frac{\mathbf{x-6}}{\mathbf{x-2}}\mathbf{+}\frac{\mathbf{x-3}}{\mathbf{x-8}}\mathbf{=2}\] then the value of x =?
A)
-22 done
clear
B)
11 done
clear
C)
11 done
clear
D)
22 done
clear
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question_answer3)
60 is divided into two parts such that the sum of their reciprocals is\[\frac{\mathbf{3}}{\mathbf{25}}\]. What is the largest number?
A)
10 done
clear
B)
50 done
clear
C)
25 done
clear
D)
20 done
clear
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question_answer4)
The value of k for which the system of equations \[\mathbf{x+3y=6,3x+ky+18=0}\] has no solution, is
A)
6 done
clear
B)
-6 done
clear
C)
9 done
clear
D)
-9 done
clear
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question_answer5)
If \[\left( \mathbf{2},\mathbf{3} \right)\] is a solution of the equation \[\mathbf{5x-2y=k,}\] find the value of k.
A)
7 done
clear
B)
6 done
clear
C)
5 done
clear
D)
4 done
clear
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question_answer6)
How many kilograms of tea at Rs 20 per kg should be mixed with 14 kg of tea costing Rs 30 per kg so as to sell the mixture at Rs 27 per kg without gaining or losing anything in the transaction?
A)
6 kg done
clear
B)
7 kg done
clear
C)
15 kg done
clear
D)
10 kg done
clear
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question_answer7)
Three consecutive numbers such that thrice the first, 4 times the second and twice the third together make 188. Find the least of the consecutive numbers is.
A)
18 done
clear
B)
21 done
clear
C)
19 done
clear
D)
20 done
clear
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question_answer8)
A man is four times as old as his son. After 2 years the man will be three times as old as his son. What is the present age of the man?
A)
20 years done
clear
B)
16 years done
clear
C)
4 years done
clear
D)
24 years done
clear
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question_answer9)
Two planes start from a city and fly in opposite directions. The average speed of first is 50 km/h more than the second. If they are 2600 km apart after 4 hours, find the sum of their average speeds.
A)
650 km/h done
clear
B)
360 km/h done
clear
C)
320 km/h done
clear
D)
640 km/h done
clear
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question_answer10)
Straight lines represented by linear equations \[\mathbf{x}+\mathbf{y}=\mathbf{2}\] and \[\mathbf{5x}-\mathbf{3y}=\mathbf{2}\] intersect at which of the given points?
A)
(1, 2) done
clear
B)
(1, 1) done
clear
C)
(2, 1) done
clear
D)
(3, 2) done
clear
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question_answer11)
Crate of mangoes contains one bruised mangoes for every forty mangoes in the crate. If 4 out of every 5 bruised mangoes are considered unsalable and there are 10 unsalable mangoes in the crate, then how many mangoes are there in the crate?
A)
200 done
clear
B)
250 done
clear
C)
300 done
clear
D)
500 done
clear
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question_answer12)
A student was asked to find the value of \[\frac{\mathbf{3}}{\mathbf{7}}\] of a sum of money. The student made a mistake by dividing the sum of \[\frac{\mathbf{3}}{\mathbf{7}}\] and then got an answer which exceeded the correct answer by Rs. 80. The correct answer was:
A)
Rs. 42 done
clear
B)
Rs. 24 done
clear
C)
Rs.81 done
clear
D)
Rs. 18 done
clear
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question_answer13)
When an amount was distributed among 12 boys, each of them got Rs. 80 more than the amount received by each boy when the same amount is distributed equally among 16 boys. What was the amount?
A)
Rs 3800 done
clear
B)
Rs 3860 done
clear
C)
Rs 3840 done
clear
D)
Rs 3850 done
clear
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question_answer14)
Ajay had 65 currency notes in all. Some of which were of Rs 100 denomination and the remaining of Rs 50 denomination. The total amount of all these currency notes was Rs, 5000. How much amount did he have in the denomination of Rs 100?
A)
Rs 3000 done
clear
B)
Rs 2500 done
clear
C)
Rs 1000 done
clear
D)
Rs 3500 done
clear
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question_answer15)
The total value of a collection of coins of denominations Rs 1.00, 50 paise, 25 paise 10 paise and 5 paise, is Rs 380. If the number of coins of each denomination is the same, find the number of one rupee coins.
A)
160 done
clear
B)
180 done
clear
C)
200 done
clear
D)
220 done
clear
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question_answer16)
Find the equation of the line that passes through the points (5, 15) and (10, 20).
A)
\[y=x+10\] done
clear
B)
\[y=x-30\] done
clear
C)
\[y=x+30\] done
clear
D)
\[y=x+15\] done
clear
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question_answer17)
A positive number, when increased by 10 equals 200 times its reciprocal. What is number?
A)
100 done
clear
B)
10 done
clear
C)
20 done
clear
D)
200 done
clear
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question_answer18)
If \[\mathbf{x}+\mathbf{y}-\mathbf{5}=\mathbf{0}\] and \[\mathbf{2x+y-9=0,}\] then \[\mathbf{4}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+4xy}\] is equal to
A)
75 done
clear
B)
85 done
clear
C)
91 done
clear
D)
81 done
clear
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question_answer19)
The sum of two numbers is 8 and the of squares is 34. The product of the two numbers is
A)
10 done
clear
B)
8 done
clear
C)
15 done
clear
D)
12 done
clear
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question_answer20)
The system of equations \[\mathbf{2x}+\mathbf{y}-\mathbf{2}=\mathbf{0}\] and \[\mathbf{4x}+\mathbf{2y}-\mathbf{4}=\mathbf{0}\] has
A)
A unique solution \[x=1,\,\,y=1\] done
clear
B)
A unique solution \[x=0,\,\,y=4\] done
clear
C)
No solution done
clear
D)
Infinite solutions done
clear
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question_answer21)
If \[2x+3y\le 6,x\ge 0,y\ge 0,\] then one of the solutions is
A)
\[x=-2\,\,\text{and }\,y=-3\] done
clear
B)
\[x=-1\text{ and }y=-2\] done
clear
C)
\[x=1\text{ and =1}\] done
clear
D)
\[x=-1\text{ and }y=-1\] done
clear
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question_answer22)
If the sum of a number and its reciprocal is \[\frac{\mathbf{10}}{\mathbf{3}}\], then the numbers are
A)
\[3,\frac{1}{3}\] done
clear
B)
\[3,\frac{-1}{3}\] done
clear
C)
\[-3,\frac{1}{3}\] done
clear
D)
\[-3,\frac{-1}{3}\] done
clear
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question_answer23)
The sum of two numbers is 7 and their product is 12. What is the sum of their reciprocals?
A)
\[\frac{1}{12}\] done
clear
B)
\[\frac{1}{7}\] done
clear
C)
\[\frac{7}{12}\] done
clear
D)
\[\frac{7}{15}\] done
clear
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question_answer24)
The system of equations \[\mathbf{x}+\mathbf{2y}=\mathbf{3}\] and \[\mathbf{3x+6y=9}\] has
A)
Unique solution done
clear
B)
No solution done
clear
C)
Infinitely many solutions done
clear
D)
Unite numbers of solutions done
clear
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question_answer25)
On children day, sweets were to be equally distributed among 160 children in a school. Actually on the children?s day 40 children were absent and therefore each child got 10 sweets extra. Total number of sweets were
A)
3200 done
clear
B)
2400 done
clear
C)
4000 done
clear
D)
4800 done
clear
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question_answer26)
If \[\left( \mathbf{x},\mathbf{y} \right)=\left( \mathbf{8},\mathbf{2} \right)\] is the solution of the pair of linear equations \[\mathbf{mx}+\mathbf{y}=\mathbf{2x}+\mathbf{m}=\mathbf{10},\]then \[\mathbf{m}+\mathbf{n}\] is equal to
A)
-2 done
clear
B)
-1 done
clear
C)
2 done
clear
D)
1 done
clear
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question_answer27)
If a and b are positive integers, x and y are non-negative integers and \[\mathbf{a}=\mathbf{bx}+\mathbf{y},\] then which one of the following is correct?
A)
\[0\le y<a\] done
clear
B)
\[0<y\le b\] done
clear
C)
\[0<y>b\] done
clear
D)
\[0\le y<b\] done
clear
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question_answer28)
The sum of two numbers is 70. If the larger number exceeds five times the smaller by 4, what is the smaller number?
A)
5 done
clear
B)
11 done
clear
C)
20 done
clear
D)
25 done
clear
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question_answer29)
If \[\frac{\mathbf{2}}{\mathbf{x}}\mathbf{+}\frac{\mathbf{3}}{\mathbf{y}}\mathbf{=}\frac{\mathbf{9}}{\mathbf{xy}}\] and \[\frac{4}{\mathbf{x}}\mathbf{+}\frac{9}{\mathbf{y}}\mathbf{=}\frac{21}{\mathbf{xy}}\], where, \[x\ne 0\]and \[y\ne 0\], then what is the value of \[\mathbf{x}+\mathbf{y}\]?
A)
2 done
clear
B)
3 done
clear
C)
4 done
clear
D)
8 done
clear
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question_answer30)
If 1 is added to the denominator of a fraction, it becomes\[\frac{\mathbf{1}}{\mathbf{2}}\] and if 2 is added to the numerator, the fraction becomes 1. What is the fraction?
A)
\[\frac{3}{2}\] done
clear
B)
\[\frac{3}{5}\] done
clear
C)
\[\frac{1}{4}\] done
clear
D)
\[\frac{10}{11}\] done
clear
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