**Ques No 81:**

The sum of all two digit numbers which, being divided by 4, leaves the a remainder of 1, is

**Options:**

A. 1210

B. 1110

C. 1310

D. 1610

**Solution:**

**Ques No 82:**

A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

**Options:**

A. 13

B. 59

C. 35

D. 37

**Solution:**

**Ques No 83:**

A 3-digit number 4*a*3 is added to another 3-digit number 984 to give a 4-digit number 13*b*7, which is divisible by 11. Then, (*a* + *b*) = ?

**Options:**

A. 10

B. 11

C. 12

D. 15

**Solution:**

**Ques No 84:**

The sum of all three digit numbers which give a remainder 4, when they are divided by 5, is

**Options:**

A. 99270

B. 9270

C. 19927

D. 89270

**Solution:**

**Ques No 85:**

Two prime number A and B (A < B) are called twin primes if they differe by 2 (e.g. 11, 13 or 41, 43). If A and B are twin primes with B>23, then which of the following numbers would always divide A+B?

**Options:**

A. 12

B. 8

C. 24

D. None

**Solution:**

**Ques No 86:**

How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?

**Options:**

A. 8

B. 11

C. 12

D. 13

**Solution:**

**Ques No 87:**

The number of pairs of natural numbers the difference of whose squares is 45, is

**Options:**

A. 2

B. 3

C. 4

D. 5

**Solution:**

**Ques No 88:**

The product of 4 consecutive even numbers is always divisible by

**Options:**

A. 600

B. 764

C. 868

D. 384

**Solution:**

**Ques No 89:**

How many 3-digit numbers are completely divisible 6 ?

**Options:**

A. 149

B. 150

C. 152

D. 166

**Solution:**

**Ques No 90:**

The least number when added to or subtracted from, the number 2286 makes it a perfect square, are

**Options:**

A. 18, 76

B. 17, 77

C. 18, 77

D. 8, 77

**Solution:**

**Ques No 91:**

On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?

**Options:**

A. 0

B. 1

C. 2

D. 4

**Solution:**

**Ques No 92:**

A set has exactly five consecutive positive integers starting with 1.What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set

**Options:**

A. 8.54

B. 12.56

C. 15.25

D. 16.66

**Solution:**

**Ques No 93:**

The least six-digit number which is perfect square, is

**Options:**

A. 100000

B. 100489

C. 100100

D. None of these

**Solution:**

**Ques No 94:**

Find the unit’s digit in 264^{102}+264^{103}

**Options:**

A. 0

B. 2

C. 4

D. 6

**Solution:**

**Ques No 95:**

The number of distinct prime factors of 2^{10} x 3^{15} x 15^{13}, is

**Options:**

A. 2

B. 3

C. 4

D. 5

**Solution:**

**Ques No 96:**

For how many integers *a* (1 <= a <= 200) is the number a^{a} is a square?

**Options:**

A. 107

B. 105

C. 124

D. 132

**Solution:**

**Ques No 97:**

For A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is ‘a‘, the number of 5’s that he uses is ‘b‘ and the number of 8’s he uses is ‘c‘? What is the value of b+c−a

**Options:**

A. 180

B. 280

C. 380

D. 480

**Solution:**

**Ques No 98:**

What is the remainder when 3^{7} is divided by 8?

**Options:**

A. 1

B. 2

C. 3

D. 5

**Solution:**

**Ques No 99:**

What will be remainder when (67^{67} + 67) is divided by 68

**Options:**

A. 1

B. 63

C. 66

D. 67

**Solution:**

**Ques No 100:**

If *n* is a natural number, then (6*n** ^{2}* + 6

*n*) is always divisible by

**Options:**

A. 6 only

B. 6 and 12 both

C. 12 only

D. 18 only

**Solution:**