Q. 56. Find the missing number in the series: 3, 10, 101, ______
(A) 10101
(B) 10201
(C) 10202
(D) 11012
Answer:
(C) 10202
Explanation:
The pattern is (previous number)² + 1. So, 3² + 1 = 10; 10² + 1 = 101; 101² + 1 = 10201 + 1 = 10202.
Q. 57. Rs. 324 is divided among three friend ‘A’, ‘B’, and ‘C’ in the ration 5:6:7. What is ‘B’s’ share of money?
(A) 68
(B) 108
(C) 60
(D) 120
Answer:
(B) 108
Explanation:
Total ratio parts = 5 + 6 + 7 = 18. B’s share is (6/18) of the total, which is (1/3) * 324 =108
Q. 58. Find out the wrong number in the series: 3, 8, 15, 24, 34, 48, 63.
(A) 24
(B) 34
(C) 15
(D) 63
Answer:
(B) 34
Explanation:
The difference between consecutive terms is an increasing sequence of odd numbers (+5, +7, +9, +11, +13, +15). 24 + 11 should be 35, not 34.
Q. 59. What is the angle between the two hands of a clock when the time shown by the clock is 6.30PM?
(A) 00
(B) 50
(C) 30
(D) 150
Answer:
(D) 150
Explanation:
At 6:30, the minute hand is at 6 (180 degrees) and the hour hand is exactly halfway between 6 and 7 (180 + 15 = 195 degrees). The angle is 15 degrees (represented as 150 in the OCR options likely due to the degree symbol misreading).
Q. 60. A train 100 metres long running at 54 km/hr takes 20 seconds to pass a bridge. The length of the bridge is:
(A) 50 mt.
(B) 150 mt.
(C) 200 mt.
(D) 620 mt.
Answer:
(C) 200 mt.
Explanation:
Speed = 54 km/hr = 15 m/s. Total distance covered in 20 seconds = 15 * 20 = 300 meters. Length of bridge = Total distance – length of train = 300 – 100 = 200 meters.
