__Number System Mcq:__1 . What is the sum of all two digit numbers that gives a remainder of 3 when they are divided by 7?

- 678
- 676
- 748
- 745

__Answer__- [ 676 ]**2 . A heap of pebbles when made up into group of 32, 40, 72, leaves the remainder 10, 18 and 50 respectively. Find least number of pebbles in the heaps.**

- 1478
- 1418
- 1389
- 1398

**-**

__Answer__

*[ 1418 ]***3 . The sum of two numbers is 684 and their HCF is 57. Find all possible pairs of such numbers.**

- (56 , 234) (456,234)
- (57 , 267) (285,399)
- (23 , 345) (445,254)
- (27 , 347) (267,378)

__Answer__- [(57 , 267) (285,399)]

4 . When we reverse the digits of the number 13, the increases by 18. How many other two digit numbers increases by 18 when their digits are reversed?

- 3
- 4
- 5
- 6

__Answer__- [6]

5 . The sum of four consecutive two-digit odd numbers, when divided by 10, become a perfect square. Which of the following can possibly be one of these four numbers?

- 32
- 45
- 41
- 67

__Answer__- [41]

6 . Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares.

- 4
- 5
- 3
- 1

__Answer__- [1]

7 . Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for first time?

- 12:56 pm
- 12:67 pm
- 12:11 pm
- 12:20 pm

__Answer__- [ 12:20 ]

8 . In a 4-digit number, the sum of the first two digits is equal to that of last two digits. The sum of the first and last digits is equal to third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?

- 6
- 5
- 7
- 3

__Answer__- [5]9 . On a road three consecutive traffic lights change after 36, 42 and 72 seconds respectively. If the lights are first switched on at 9:00 AM sharp, at what time will they change simultaneously?'- 9:05:23
- 9:04:25
- 9:08:24
- 9:07:45
Answer - [ 9:08:24 ] | |

10 . The HCF of 2472, 1284 and a third number 'N' is 12. If their LCM is 2<sup>3</sup> × 3<sup>2</sup> × 5 × 103 × 107, then the number 'N' is:

- 22 × 32 × 7
- 22 × 33 × 10
- 22 × 32 × 5
- N = 3 × 5

__Answer__- [N = 3*5]
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