State Exam — GPSC — Gujarat
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Showing 261–270 of 290 questions
Q.261 Medium Reasoning & Aptitude
A rectangular box has dimensions 5 × 4 × 3 cm. How many 1 cm cubes can fit inside it?
A50
B55
C60
D65
Correct Answer:  C. 60
Explanation:

Volume of box = 5 × 4 × 3 = 60 cubic cm. Volume of each 1 cm cube = 1 cubic cm. Number of cubes = 60.

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Q.262 Medium Reasoning & Aptitude
If x : y = 3 : 4 and y : z = 8 : 9, then x : y : z is:
A3 : 4 : 9
B6 : 8 : 9
C3 : 8 : 9
D24 : 32 : 36
Correct Answer:  B. 6 : 8 : 9
Explanation:

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.

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Q.263 Medium Reasoning & Aptitude
If a man can complete a job in 12 days, what fraction of the job can he complete in 3 days?
A1/3
B1/4
C1/5
D1/6
Correct Answer:  B. 1/4
Explanation:

Work completed per day = 1/12. Work completed in 3 days = 3 × (1/12) = 3/12 = 1/4.

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Q.264 Medium Reasoning & Aptitude
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?
A2/5
B1/2
C3/5
D2/3
Correct Answer:  A. 2/5
Explanation:

Total balls = 10 + 15 = 25. Probability of red ball = 10/25 = 2/5.

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Q.265 Medium Reasoning & Aptitude
If a clock shows 3:15, what is the angle between the hour hand and minute hand?
A7.5 degrees
B15 degrees
C22.5 degrees
D30 degrees
Correct Answer:  A. 7.5 degrees
Explanation:

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°

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Q.266 Medium Reasoning & Aptitude
Find the odd one out: 121, 144, 169, 196, 225, 256
A144
B169
C196
D256
Correct Answer:  D. 256
Explanation:

All others are perfect squares of consecutive integers (11², 12², 13², 14², 15²). 256 = 16², breaking the consecutive pattern.

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Q.267 Medium Reasoning & Aptitude
In a family, A's father's father is B's father. What is A's relationship to B?
AGrandson
BSon
CNephew
DBrother
Correct Answer:  A. Grandson
Explanation:

B's father = A's grandfather. Therefore A is B's grandson.

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Q.268 Medium Reasoning & Aptitude
Complete the series: 2, 6, 12, 20, 30, 42, ?
A52
B56
C60
D66
Correct Answer:  B. 56
Explanation:

Pattern: 1×2, 2×3, 3×4, 4×5, 5×6, 6×7, 7×8 = 56

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Q.269 Medium Reasoning & Aptitude
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?
AS, P, Q, R, T
BP, Q, S, R, T
CT, P, Q, R, S
DS, R, T, P, Q
Correct Answer:  B. P, Q, S, R, T
Explanation:

Check constraints: P<Q ✓, S<R ✓, R<T ✓. Only option B satisfies all conditions.

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Q.270 Medium Reasoning & Aptitude
In a logic puzzle, A + B = 15, B + C = 17, C + A = 18. What is A + B + C?
A24
B25
C26
D27
Correct Answer:  B. 25
Explanation:

Adding all three: 2(A+B+C) = 50, so A+B+C = 25

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