1. Given below are two statements:
Statement I: The wrong number in the series 126, 98, 70, 41, 14….. is 41.
Statement II: The wrong number in The series 7, 28, 63, 124, 215, 342…. is 342.
In the light of the above statements, choose the correct answer from the options given below:
(1) Both Statement I and Statement II are true
(2) Both Statement I and Statement II are false
(3) Statement I is true but Statement II is false
(4) Statement I is false but Statement II is true
EXPLANATION
Let’s analyze each statement:
Statement I: The wrong number in the series 126, 98, 70, 41, 14….. is 41.
- The given series seems to be decreasing by a certain pattern. Let’s find the difference between consecutive numbers:
- 126 – 98 = 28
- 98 – 70 = 28
- 70 – 41 = 29
- 41 – 14 = 27
- The pattern of decreasing differences is not consistent, and the difference between 70 and 41 is 29, not 27. Therefore, Statement I is false.
Statement II: The wrong number in the series 7, 28, 63, 124, 215, 342…. is 342.
- Let’s find the differences between consecutive numbers:
- 28 – 7 = 21
- 63 – 28 = 35
- 124 – 63 = 61
- 215 – 124 = 91
- 342 – 215 = 127
- The differences between consecutive numbers do not follow a consistent pattern. Therefore, Statement II is true.
Based on the analysis:
- Statement I is false.
- Statement II is true.
Therefore, the correct answer is:
(4) Statement I is false, but Statement II is true.
2. Consider the following two number series I and II:
1:2, 10, 60, 420, 3360, P, ………
II:2, 20, Q. 110, 182, 272, ………
Then P÷Q=
(1) 436
(2) 540
(3) 336
(4) 642
Explanation
B
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