624 is related to 160 following a certain logic. Following the same logic, 448 is related to 116. To which of the following is 528 related, following the same logic? (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
- (a)130
- (b)136
- (c)148
- (d)128
Answer
Why
Correct — B. Rule: divide by 4, then add 4.
624 ÷ 4 = 156
156 + 4 = 160, the number given
448 ÷ 4 = 112
112 + 4 = 116, the number given
528 ÷ 4 = 132
132 + 4 = 136 → option (b)
Why the others are wrong
- (a)130 — 130 is 528 ÷ 4 with 2 taken away instead of added. Run that second step on the first pair and 624 ÷ 4 = 156 gives 154, not the 160 the question states.
- (c)148 — 148 is 528 ÷ 4 plus 16. The size of the addition is fixed by the worked pairs: 156 needs +4 to reach 160, and 112 needs +4 to reach 116.
- (d)128 — 128 is 528 ÷ 4 minus 4, the right constant with the wrong sign. On 624 that gives 152, which is not the 160 printed in the question.
Concept
A number analogy hands you two worked pairs and asks for a third. Both worked pairs matter: one to guess the rule, one to test it. A rule that fits only the first pair is not a rule.
Try the cheap operations in order — a constant difference, then a constant ratio, then a ratio followed by a constant. Here 624 and 160 are far apart, so try a ratio first: 624 ÷ 4 = 156, which sits 4 short of 160.
Confirm those two steps on 448 → 116 before touching 528. That confirmation is the entire purpose of the second given pair.
The bracketed note bars digit-splitting, which closes off the shortcuts candidates reach for under time pressure: adding the digits, reversing them, or reading 624 as 6, 2 and 4.
Key facts
- 624 ÷ 4 = 156 and 156 + 4 = 160.
- 448 ÷ 4 = 112 and 112 + 4 = 116.
- 528 ÷ 4 = 132 and 132 + 4 = 136.
- SSC's whole-number rider bars any digit-by-digit route to the answer.
Study next
Common traps
- Fixing the rule from one pair and never testing it on the second
- Splitting 528 into 5, 2 and 8 after the question has forbidden it
- Dividing by 4 and stopping at 132, which is not offered as an option
SSC states one pair, confirms it with a second, then asks for a third, printing the whole-number rider underneath.
The same frame appears at 09 Sep 2024, 09:00, Reasoning Q.2 (31 to 152, 47 to 168, where the rule is +121) and Q.24 (19 to 209, 27 to 297, where it is multiply by 11).
Related PYQs
No directly related past PYQ was found.