CATQUANT NUMBER SYSTEM 5

Question 1:

Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7, 12 and 16 is 4?

137

1361

140

172

Question 2:

The smallest number which when divided by 5, 7 and 9 leaves remainders of 1, 6 and 5 respectively. What will be the remainder when the number will be divided by 12?

2

3

4

5

Question 3:

The integers 34041 and 32506 when divided by a 3 digit integer n leave the same remainder. What is n?

289

367

453

307

Question 4:

How many pairs of positive integers x, y exist such that HCF of x, y = 35 and sum of x and y = 1085?

12

8

15

30

Question 5:

Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8 and 8 on division by 9?

2519

5039

1079

979

Question 6:

A number is formed by writing first 54 natural numbers in front of each other such as 12345678910111213……… Find the remainder when the number is divided by 8.

1

7

2

0

Question 7:

How many pairs of positive integers x, y exist such that HCF (x, y) + LCM (x, y) = 91?

10

8

6

7

Question 8:

6 different sweet varieties of count 32, 216, 136, 88, 184, 120 were ordered for a particular occasion. They need to be packed in such a way that each box has the same variety of sweet and the number of sweets in each box is also the same. What is the minimum number of boxes required to pack?

129

64

48

97

Question 9:

A number leaves a remainder 2 when divided by 9. Which of the following could not be the remainder when it is divided by 45?

20

30

29

38

Question 10:

The sum of two non co–prime numbers added to their HCF gives us 91. How many such pairs are possible?

2

4

3

6