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Number System (Part-6)
📆 May 29, 2025
Total Questions: 36
31.
Let x be the greatest number by which when 448, 678 and 908 are divided, the remainder in each case is 11. When 147 is divided by x, the remainder is:
[SSC MTS 14/10/2021 (Afternoon)]
(a) 4
(b) 5
(c) 9
(d) 3
Correct Answer:
(c) 9
Solution:
32.
The average of squares of five consecutive odd natural numbers is 233. What is the average of the largest number and the smallest number?
[SSC CGL 20/08/2021 (Morning)]
(a) 11
(b) 17
(c) 13
(d) 15
Correct Answer:
(d) 15
Solution:
33.
When (2²⁴-1) is divided by 7, the remainder is:
[SSC CHSL 04/08/2021 (Evening)]
(a) 2
(b) 0
(c) 4
(d) 1
Correct Answer:
(b) 0
Solution:
34.
When a positive integer n is divided by 12, the remainder is 5. What will be the remainder if 8n² + 7 is divided by 12?
[SSC CHSL 06/08/2021 (Evening)]
(a) 2
(b) 5
(c) 3
(d) 4
Correct Answer:
(c) 3
Solution:
35.
The remainder when 75 x 73 x 78 x 76 is divided by 34 is:
[SSC CPO 23/11/2020 (Evening)]
(a) 18
(b) 12
(c) 22
(d) 15
Correct Answer:
(b) 12
Solution:
36.
What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in form of a perfect square?
[SSC CPO 24/11/2020 (Evening)]
(a) 180
(b) 625
(c) 900
(d) 400
Correct Answer:
(c) 900
Solution:
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