Numbers

Question 11

HCF of two numbers is 11 and their LCM is 385. If the numbers do not differ by more than 50, what is the sum of the two numbers ?

• 132
• 35
• 12
• 36

Question 12

Two numbers are in the ratio of 5:7. If their LCM is 105, what is the difference between their squares ?

• 216
• 210
• 72
• 840

Question 13

Which of the following is the largest of all ? (i) 7/8 (ii) 15/16 (iii) 23/24 (iv) 31/32

• (i)
• (ii)
• (iii)
• (iv)

Question 14

Three friends started running together on a circular track at 8:00:00 am. Time taken by them to complete one round of the track is 15 min, 20 min, 30 min respectively. If they run continuously without any halts, then at what time will they meet again at the starting point for the fourth time ?

• 8:30:00 am
• 9:00:00 pm
• 12:00:00 pm
• 12:00:00 am

Question 15

The LCM of two co-prime numbers is 117. What is the sum of squares of the numbers ?

• 220
• 1530
• 250
• 22

Question 16

Which is the largest number that divides 17, 23, 35, 59 to leave the same remainder in each case ?

• 2
• 3
• 6
• 12

Question 17

A partial order P is defined on the set of natural numbers as follows. Here x/y denotes integer division.
i. (0, 0) ∊ P.
ii. (a, b) ∊ P if and only if a % 10 ≤ b % 10 and (a/10, b/10) ∊ P.
Consider the following ordered pairs:
i. (101, 22)
ii. (22, 101)
iii. (145, 265)
iv. (0, 153)
Which of these ordered pairs of natural numbers are contained in P?

• (i) and (iii)
• (ii) and (iv)
• (i) and (iv)
• (iii) and (iv)

Question 18

Which is not the prime number?

• 43
• 57
• 73
• 101

Question 19

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

• 4

• 5

• 6

• None of these

Question 20

What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, .... 0

• 2880
• 1440
• 720
• 0