Which number should replace the question mark? 2, 6, 12, 20, 30, ?, 56
Answer: B
The pattern is n(n+1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42, 7×8=56.
Q.2Medium
Four friends A, B, C, and D are sitting in a line. B is not at the end. C is between A and D. Who is sitting second?
Answer: B
Since C is between A and D, the arrangement must be A-C-D or D-C-A. B cannot be at the end, so B must be in position 2. Arrangements: A-B-C-D or D-C-B-A, but C must be between A and D. Only A-C-D arrangement works with B in position 2: This doesn't work. Actually: D-C-A-B or A-C-D-B or similar. C is definitely in a middle position.
Q.3Medium
If all roses are flowers, and some flowers are red, then which statement is necessarily true?
Answer: D
We cannot determine if roses are red from the given statements. Roses are flowers, but only 'some' flowers are red, not all. Therefore, we cannot make a definitive statement about roses being red.
Q.4Medium
A clock shows 3:00. The hour hand and minute hand form an angle of how many degrees?
Answer: B
At 3:00, the minute hand points to 12 and the hour hand points to 3. The angle between them is 90°.
Q.5Medium
In a sequence: 1, 1, 2, 3, 5, 8, 13, ?, what is the next number?
Answer: B
This is the Fibonacci sequence where each number is the sum of the previous two. 8 + 13 = 21.
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Q.6Medium
A rectangular box has dimensions 5 × 4 × 3 cm. How many 1 cm cubes can fit inside it?
Answer: C
Volume of box = 5 × 4 × 3 = 60 cubic cm. Volume of each 1 cm cube = 1 cubic cm. Number of cubes = 60.
Q.7Medium
If x : y = 3 : 4 and y : z = 8 : 9, then x : y : z is:
Answer: B
x : y = 3 : 4 and y : z = 8 : 9. To make y the same in both, multiply first by 2: x : y = 6 : 8. So x : y : z = 6 : 8 : 9.
Q.8Medium
If a man can complete a job in 12 days, what fraction of the job can he complete in 3 days?
Answer: B
Work completed per day = 121. Work completed in 3 days = 3 × (121) = 123 = 41.
Q.9Medium
A container has 10 red balls and 15 blue balls. If one ball is drawn randomly, what is the probability of drawing a red ball?
Answer: A
Total balls = 10 + 15 = 25. Probability of red ball = 2510 = 52.
Q.10Medium
If a clock shows 3:15, what is the angle between the hour hand and minute hand?
Answer: A
At 3:15, minute hand is at 3 (90°). Hour hand moves 30° per hour + 0.5° per minute = 90° + 7.5° = 97.5°. Angle = 97.5° - 90° = 7.5°
Q.11Medium
Find the odd one out: 121, 144, 169, 196, 225, 256
Answer: D
All others are perfect squares of consecutive integers (11², 12², 13², 14², 15²). 256 = 16², breaking the consecutive pattern.
Q.12Medium
In a family, A's father's father is B's father. What is A's relationship to B?
Answer: A
B's father = A's grandfather. Therefore A is B's grandson.
Q.13Medium
Complete the series: 2, 6, 12, 20, 30, 42, ?
Answer: B
Pattern: 1×2, 2×3, 3×4, 4×5, 5×6, 6×7, 7×8 = 56
Q.14Medium
P, Q, R, S, T are sitting in a row. If P is to the left of Q, R is to the right of S, and T is to the right of R, which of the following could be true?
Answer: B
Check constraints: P<Q ✓, S<R ✓, R<T ✓. Only option B satisfies all conditions.
Q.15Medium
In a logic puzzle, A + B = 15, B + C = 17, C + A = 18. What is A + B + C?
Answer: B
Adding all three: 2(A+B+C) = 50, so A+B+C = 25
Q.16Medium
Which number is missing in the pattern: 8, 24, 72, 216, 648, ?, 5832
Answer: A
Each number is multiplied by 3: 8×3=24, 24×3=72, 72×3=216, 216×3=648, 648×3=1944
Q.17Medium
If 5 men can build a wall in 12 days, how many men are needed to build it in 3 days?
Answer: B
Work remains constant: 5 × 12 = X × 3. Therefore X = 360 = 20 men
Q.18Medium
A boat travels 30 km downstream in 2 hours and upstream in 3 hours. What is the speed of the current?
Answer: A
Downstream speed = 15 km/h, Upstream speed = 10 km/h. Current speed = (15-10)/2 = 2.5 km/h
Q.19Medium
If a dice is thrown twice, what is the probability of getting a sum of 7?
Answer: A
Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Probability = 366 = 61
Q.20Medium
If TRIANGLE is written as USJBOHF in a certain code, how is SQUARE written?
Answer: A
Each letter is shifted forward by 1 position in the alphabet. S→T, Q→R, U→V, A→B, R→S, E→F.
