Q1 . | Which of the options is always a composite number for any prime number p? |

A.p^2 +1 | |

B.2p+3 | |

C.2p+1 | |

D.p^2p-2p |

**Ans:**p^2p-2p

Q2 . | Which of the following statement(s) is/are TRUE? I.The total number of positive factors of 72 is 12. II. The sum of the first 20 odd numbers is 400. III. The largest two digit prime number is 97. |

A.Only I and II | |

B.Only II and III | |

C.Only I and III | |

D.All are true. |

**Ans:**All are true.

Q3 . | What is the largest two digit number which when divided by 6 and 5 leaves remainder 1 in each case? |

A.61 | |

B.93 | |

C.91 | |

D.97 |

**Ans:**91

Q4 . | (91 +92 +93 +......+ 110) is equal to |

A.4020 | |

B.2010 | |

C.6030 | |

D.8040 |

**Ans:**2010

Q5 . | The product of two positive numbers is 1152. If one number is two times the other, what will be the sum of the two numbers? |

A.68 | |

B.72 | |

C.76 | |

D.80 |

**Ans:**72

Q6 . | What is the sum of all natural numbers between 1 and 100 which are multiples of 7? |

A.735 | |

B.675 | |

C.745 | |

D.705 |

**Ans:**735

Q7 . | How many factors of 108 are prime numbers? |

A.2 | |

B.3 | |

C.5 | |

D.6 |

**Ans:**2

Q8 . | What is the value of x so that the seven digit number 8439x53 is divisible by 99? |

A.9 | |

B.4 | |

C.3 | |

D.6 |

**Ans:**4

Q9 . | What will be the quotient when 2143 is divided |

A.56 | |

B.55 | |

C.57 | |

D.54 |

**Ans:**56

Q10 . | The mean of all 4- digit even naturals numbers of the form 'aabb' , where a is > 0, is_ |

A.5050 | |

B.4864 | |

C.5544 | |

D.4466 |

**Ans:**5544

Q11 . | What is the sum of first 20 odd natural numbers? |

A.100 | |

B.200 | |

C.300 | |

D.400 |

**Ans:**400

Q12 . | The digit in the unit's place of the number represnted by (7^95-3^58) is_ |

A.2 | |

B.3 | |

C.5 | |

D.4 |

**Ans:**4

Q13 . | Which smallest number must be added to 100, so that the resulting number is completely divisible |

A.2 | |

B.3 | |

C.5 | |

D.4 |

**Ans:**2

Q14 . | A positive integer when divided by Q leaves remainder 21 . When double that number is divided by Q, the remainder is 13. Then Q is |

A.21 | |

B.23 | |

C.39 | |

D.37 |

**Ans:**23

Q15 . | The number of zeros at the end of 99! is_ |

A.2 | |

B.12 | |

C.22 | |

D.32 |

**Ans:**22

Q16 . | How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7 ? |

A.21 | |

B.12 | |

C.16 | |

D.28 |

**Ans:**21

Q17 . | How many natural numbers less than 1000 are divisible by 5 of 7 but not by 35? |

A.285 | |

B.313 | |

C.341 | |

D.243 |

**Ans:**313

Q18 . | Which of the given values is divisible by 15? |

A.2365 | |

B.1375 | |

C.4365 | |

D.2275 |

**Ans:**4365

Q19 . | How many 3-digit numbers are completely divisible by 4. |

A.225 | |

B.224 | |

C.223 | |

D.222 |

**Ans:**225

Q20 . | The product of two numbers is 231 and one number is 21. What is the second number? |

A.31 | |

B.7 | |

C.11 | |

D.21 |

**Ans:**21

Q21 . | The sum of three consecutive odd numbers is always divisible by__ |

A.3 | |

B.9 | |

C.15 | |

D.21 |

**Ans:**3

Q22 . | The sum of all prime numbers between 58 and 68 is_ |

A.179 | |

B.178 | |

C.187 | |

D.183 |

**Ans:**187

Q23 . | The sum of the squares of two positive integers is 130 and the difference of their squares is 32. The sum of the number is |

A.13 | |

B.14 | |

C.15 | |

D.16 |

**Ans:**16

Q24 . | Find a number such that when 7 is subtracted from 3 times the number, the result is 9 more than twice the number. |

A.10 | |

B.12 | |

C.14 | |

D.16 |

**Ans:**16

Q25 . | The sum of the perfect squares between 120 and 300 is |

A.1204 | |

B.1024 | |

C.1296 | |

D.1400 |

**Ans:**1400

Q26 . | Two positive numbers differ by 2001. When the larger number is divided by the smaller number, the quotient is 9 and the remainder is 41. The sum of the digits of the larger number is |

A.15 | |

B.11 | |

C.10 | |

D.14 |

**Ans:**14

Q27 . | What least number must be subtracted from 3401, so that the sum is completely divisible by |

A.3 | |

B.1 | |

C.2 | |

D.0 |

**Ans:**2

Q28 . | Given x is an integer, what is the remainder when (6x + 3)² is divided by 9? |

A.3 | |

B.2 | |

C.1 | |

D.0 |

**Ans:**0

Q29 . | If p³-q³=(pq) (pa)²- xpq, then find the value of X |

A.1 | |

B.-3 | |

C.3 | |

D.-1 |

**Ans:**-1

Q30 . | If X and Y are two odd positive integers, which of the following is not and odd number? |

A.xy | |

B.x^2y | |

C.(x+y)^y | |

D.(xy)^y |

**Ans:**(x+y)^y

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