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Number System (Part-3)
📆 May 21, 2025
Total Questions: 50
31.
The age of a tree depends on the number of rings in the trunk. The value of a such tree is proportional to its age. If a tree with 40 rings and 50 years of age has a value of ₹50,000, then a tree with 30 rings is_______years of age and its value is ₹_______ .
[SSC CHSL 09/07/2024 (2nd Shift)]
(a) 37.5, 57500
(b) 37.5, 37500
(c) 57.5, 37500
(d) 57.5, 57500
Correct Answer:
(b) 37.5, 37500
Solution:
32.
(8⁶ + 1) when divided by 7, would leave a remainder of:
[SSC CHSL 10/07/2024 (1st Shift)]
(a) 1
(b) 4
(c) 2
(d) 6
Correct Answer:
(c) 2
Solution:
33.
The sum of the digits of a two-digit number is 9. If the digits are reversed, then the number is increased by 27. Find the number.
[SSC CHSL 10/07/2024 (1st Shift)]
(a) 63
(b) 36
(c) 54
(d) 45
Correct Answer:
(b) 36
Solution:
34.
A number is divisible by 11 if and only if the difference of the sum of the digits in the even and odd positions in the number is:
[SSC CHSL 10/07/2024 (4th Shift)]
(a) 0 or multiple of 11
(b) 11
(c) 0
(d) 1
Correct Answer:
(a) 0 or multiple of 11
Solution:
35.
When 2²⁵⁶ is divided by 17, the remainder would be:
[SSC CHSL 10/07/2024 (4th Shift)]
(a) 2
(b) 0
(c) 1
(d) 5
Correct Answer:
(c) 1
Solution:
36.
The sum of two numbers is 76. Three times the larger number is 46 more than four times the smaller one. Find the two numbers.
[SSC CHSL 11/07/2024 (1st Shift)]
(a) 44 and 32
(b) 50 and 26
(c) 40 and 36
(d) 35 and 41
Correct Answer:
(b) 50 and 26
Solution:
37.
If the number 6p5157q is divisible by 88, then p x q =______ where p and q are single digit numbers.
[SSC CHSL 11/07/2024 (1st Shift)]
(a) 12
(b) 18
(c) 20
(d) 15
Correct Answer:
(b) 18
Solution:
38.
On dividing a certain number by 459, we get 19 as remainder. What will be the remainder, when the same number is divided by 17?
[SSC CHSL 11/07/2024 (2nd Shift)]
(a) 11
(b) 1
(c) 13
(d) 2
Correct Answer:
(d) 2
Solution:
39.
The sum of the digits of a two-digit number is 9. The number obtained by interchanging its digits exceeds the given number by 45, then the original number is:
[SSC CHSL 11/07/2024 (2nd Shift)]
(a) 18
(b) 36
(c) 27
(d) 54
Correct Answer:
(c) 27
Solution:
40.
Divide 25 into two parts such that 6 times of the larger part added to 4 times of the smaller part is equal to 130. Find the larger part.
[SSC CHSL 11/07/2024 (2nd Shift)]
(a) 13
(b) 20
(c) 15
(d) 14
Correct Answer:
(c) 15
Solution:
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