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question_answer1)
By which of these numbers is the number 3116365 divisible?
A)
5 done
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B)
7 done
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C)
Both 5 and 7 done
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D)
6 done
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question_answer2)
Which of the following statements is false?
A)
If a number is divisible by 8, it must be divisible by 4. done
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B)
If a number is divisible by both 9 and 10, it is divisible by 90. done
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C)
The sum of two consecutive odd numbers is always divisible by 4. done
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D)
If a number is not divisible by both 3 and 4, it is divisible by 12. done
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question_answer3)
What value should be given to * so that the number \[653*47\]is divisible by 11?
A)
\[1\] done
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B)
\[6\] done
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C)
\[2\] done
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D)
\[9\] done
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question_answer4)
Which is the least number of 4 digits that is exactly divisible by 13?
A)
\[1052\] done
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B)
\[1039\] done
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C)
\[1032\] done
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D)
\[1001\] done
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question_answer5)
When is a number always divisible by 90?
A)
If it is divisible by both 2 and 45. done
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B)
If it is not divisible by both 5 and 18. done
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C)
If it is not divisible by both 9 and 10. done
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D)
If it is divisible by 3 and 20. done
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question_answer6)
By which of the following numbers is 477 not divisible?
A)
\[3\] done
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B)
\[7\] done
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C)
\[53\] done
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D)
\[9\] done
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question_answer7)
If a number is divisible by 9, it is also divisible by which number?
A)
\[3\] done
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B)
\[6\] done
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C)
\[2\] done
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D)
\[4\] done
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question_answer8)
Which number is divisible by 6?
A)
\[213\] done
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B)
\[468\] done
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C)
\[621\] done
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D)
\[573\] done
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question_answer9)
\[32+m\] is a prime number. What is the least value of 'm'?
A)
\[3\] done
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B)
\[5\] done
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C)
\[6\] done
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D)
\[4\] done
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question_answer10)
Which of the following is not prime?
A)
\[107\] done
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B)
\[127\] done
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C)
\[153\] done
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D)
\[197\] done
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question_answer11)
Which of the given numbers is composite?
A)
\[137\] done
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B)
\[147\] done
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C)
\[157\] done
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D)
\[167\] done
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question_answer12)
A prime number is greater than 30 and lesser than 60. What is the greatest possible such number?
A)
\[37\] done
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B)
\[53\] done
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C)
\[43\] done
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D)
\[59\] done
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question_answer13)
Which of the following statements is true?
A)
A number is divisible by 4 if it is divisible by 2. done
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B)
A number is divisible by 9 if it is divisible by 3. done
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C)
A number is divisible by 11 if the number formed by its last two digits is divisible by 11. done
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D)
A number is divisible by 8 if the number formed by its last three digits is divisible by 8. done
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question_answer14)
N is a 5-digit number divisible by 5. If N is bigger than 10000 and smaller than 10010, what is the value of N?
A)
\[10000\] done
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B)
\[10010\] done
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C)
\[10005\] done
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D)
\[10001\] done
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question_answer15)
Identify the multiple of 8.
A)
\[487718\] done
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B)
\[505672\] done
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C)
\[216428\] done
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D)
\[763121\] done
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question_answer16)
Which of the following is divisible by 12?
A)
\[284382\] done
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B)
\[624876\] done
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C)
\[926248\] done
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D)
\[746174\] done
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question_answer17)
X is the least composite number between 85 and 100. What is the value of X?
A)
\[85\] done
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B)
\[99\] done
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C)
\[100\] done
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D)
\[86\] done
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question_answer18)
Z is a three digit even number less than 200, and more than 190 that is divisible by 7. Find Z.
A)
\[196\] done
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B)
\[193\] done
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C)
\[199\] done
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D)
\[197\] done
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question_answer19)
Identify the even prime number.
A)
\[132\] done
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B)
\[102\] done
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C)
\[284\] done
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D)
\[2\] done
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question_answer20)
How many prime numbers are there between 100 and 200?
A)
\[25\] done
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B)
\[19\] done
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C)
\[21\] done
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D)
\[20\] done
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question_answer21)
Identify a factor of 261111.
A)
\[8\] done
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B)
\[3\] done
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C)
\[4\] done
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D)
\[2\] done
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question_answer22)
30 is expressed in terms of prime numbers. Which of the expressions is incorrect?
A)
\[30=12+18\] done
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B)
\[30=11+19\] done
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C)
\[30=13+17\] done
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D)
\[30=2\times 3\times 5\] done
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question_answer23)
Identify the incorrect statement.
A)
The sum of two odd numbers is always odd. done
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B)
The product of two odd numbers is always odd. done
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C)
The sum of two even numbers is always even. done
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D)
The product of two even numbers is always even. done
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question_answer24)
\[{{x}^{2}}+x+11\]is a prime number. Which of the following is not a value of 'x'?
A)
\[1\] done
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B)
\[3\] done
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C)
\[4\] done
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D)
\[2\] done
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question_answer25)
If \[a-b\] is a multiple of 1, which of the following is also a multiple of 7?
A)
\[b-a\] done
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B)
\[ab\] done
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C)
\[a+b\] done
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D)
\[\frac{a+b}{2}\] done
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question_answer26)
The units digit of a two digit number is 3 times the tens digit. If the digits are reversed, the resulting number is 36 more than the original number. What is the original number?
A)
\[26\] done
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B)
\[36\] done
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C)
\[93\] done
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D)
\[39\] done
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question_answer27)
If V and's' are both odd integers, which of the following must be an even integer?
A)
\[\frac{r+s}{2}\] done
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B)
\[2rs\] done
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C)
\[\frac{rs}{2}\] done
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D)
\[3rs\] done
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question_answer28)
When W is divided by 5, the remainder is 4. When 'n' is divided by 4, the remainder is 3. If \[0<n<100,\]what is a possible value of n'?
A)
\[9\] done
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B)
\[14\] done
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C)
\[19\] done
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D)
\[24\] done
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question_answer29)
If 'n' is an even integer, which of the following must be an odd integer?
A)
\[3n-2\] done
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B)
\[n-2\] done
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C)
\[3(n+1)\] done
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D)
\[\frac{n}{3}\] done
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question_answer30)
If \[a=4b+26\], and 'b' is a positive integer, which of the following does not divide 'a'?
A)
\[2\] done
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B)
\[5\] done
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C)
\[4\] done
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D)
\[6\] done
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question_answer31)
If a, b, c and d are consecutive multiples of 5 and \[a<b<c<d,\]what is the value of \[(a-c)\,(d-b)\]?
A)
\[100\] done
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B)
\[-100\] done
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C)
\[25\] done
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D)
\[-25\] done
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question_answer32)
The remainder when x' is divided by 5 equals the remainder when x' is divided by 4. Which of the following could not be a value of ?x'?
A)
\[20\] done
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B)
\[24\] done
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C)
\[21\] done
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D)
\[22\] done
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question_answer33)
If 'q' is an integer between 50 and 70 which can be expressed as \[7j+3,\]for some integer j what is a possible value of 'q'?
A)
\[59\] done
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B)
\[53\] done
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C)
\[64\] done
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D)
\[68\] done
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question_answer34)
What is the remainder when the sum of three consecutive even integers is divided by 6?
A)
\[4\] done
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B)
\[1\] done
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C)
\[0\] done
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D)
\[3\] done
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question_answer35)
How many numbers between 1 and 200 are multiples of 5 and are divisible by 3?
A)
\[100\] done
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B)
\[50\] done
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C)
\[95\] done
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D)
\[93\] done
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question_answer36)
Find the value of P, Q, R and S respectively. \[\begin{align} & P\,\,Q\,\,R\,\,S \\ & \underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{S\,\,R\,\,Q\,\,P}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\,\,\,\,\,\,\,\,\,\,\times 9}}\,}}\,}}\, \\ \end{align}\]
A)
\[1,0,8,9\] done
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B)
\[8,1,0,9\] done
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C)
\[1,0,9,8\] done
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D)
\[1,9,0,8\] done
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question_answer37)
Find the value of P, Q, R and S respectively. \[\begin{align} & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,R\,\,S \\ & \,\,\,\,\,\,\,\,\,\,Q\,\,R\,\,S \\ & \underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{1\,\,\,\,\,\,9\,\,\,\,\,8\,\,\,\,\,9}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{+\,\,\,Q\,\,P\,\,R\,\,S}}\,}}\,}}\, \\ \end{align}\]
A)
\[6,1,7,3\] done
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B)
\[1,7,3,6\] done
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C)
\[7,1,6.3\] done
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D)
\[1,6,3,7\] done
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question_answer38)
Find \[D+E+F\] from the following. \[DEF\times D=10DF\]
A)
\[12\] done
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B)
\[4\] done
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C)
\[3\] done
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D)
\[5\] done
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question_answer39)
X is the sum of the digits of a 3 digit number subtracted from the number. Which of the following is true?
A)
X is divisible by 5. done
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B)
X is not divisible by 6. done
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C)
X is divisible by 9. done
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D)
X is not divisible by 9. done
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question_answer40)
If \[X+X+X=YX\] find the respective values of X and Y.
A)
\[6,1\] done
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B)
\[5,1\] done
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C)
\[1,5\] done
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D)
\[1,6\] done
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question_answer41)
Which of the following is the usual form of\[100\times 8+10\times 5+9\]?
A)
\[985\] done
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B)
\[895\] done
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C)
\[809\] done
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D)
\[~859\] done
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question_answer42)
Which of the following integers has the most divisors?
A)
\[88\] done
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B)
\[91\] done
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C)
\[99\] done
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D)
\[101\] done
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question_answer43)
Which of the following numbers is exactly divisible by 99?
A)
\[114345\] done
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B)
\[135792\] done
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C)
\[3572404\] done
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D)
\[913464\] done
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question_answer44)
Which is the expanded form of 407?
A)
\[4\times 100+7\times 10\] done
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B)
\[4\times 100+0\times 10+7\times 1\] done
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C)
\[4\times 10+7\] done
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D)
\[4\times 10+0\times 10+7\times 1\] done
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question_answer45)
In the product \[BA\times B3=57A,\]what are the respective positional values of B and A?
A)
\[6,7\] done
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B)
\[5,2\] done
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C)
\[7,4\] done
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D)
\[2,5\] done
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question_answer46)
In which of the following pairs of numbers is it true that their sum is 11 times their product?
A)
\[1,1/11\] done
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B)
\[1,1/10\] done
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C)
\[1,1/12\] done
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D)
\[1,10\] done
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question_answer47)
X is a prime number greater than 50 but less than 70. What is the greatest possible value of X?
A)
\[53\] done
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B)
\[61\] done
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C)
\[67\] done
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D)
\[59\] done
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question_answer48)
M is a composite number between 70 and 90. Which of the following is the greatest possible value of M?
A)
\[70\] done
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B)
\[88\] done
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C)
\[72\] done
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D)
\[90\] done
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question_answer49)
Which of the following is true?
A)
7 is the least composite number. done
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B)
53 is the only prime number between 50 and 60. done
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C)
97 is the only prime number between 90 and 100. done
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D)
1 is the least prime number. done
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question_answer50)
Which of the given statements is false?
A)
47 is the largest prime between the numbers 1 and 50. done
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B)
89 is the only prime between 85 and 95. done
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C)
99 is the largest composite number less than 100. done
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D)
There are 10 prime numbers between 1 and 20. done
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