State Exam — GPSC — Gujarat
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Showing 271–280 of 290 questions
Q.271 Medium Reasoning & Aptitude
Which number is missing in the pattern: 8, 24, 72, 216, 648, ?, 5832
A1944
B2160
C1892
D2016
Correct Answer:  A. 1944
Explanation:

Each number is multiplied by 3: 8×3=24, 24×3=72, 72×3=216, 216×3=648, 648×3=1944

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Q.272 Medium Reasoning & Aptitude
If 5 men can build a wall in 12 days, how many men are needed to build it in 3 days?
A15
B20
C25
D30
Correct Answer:  B. 20
Explanation:

Work remains constant: 5 × 12 = X × 3. Therefore X = 60/3 = 20 men

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Q.273 Medium Reasoning & Aptitude
A boat travels 30 km downstream in 2 hours and upstream in 3 hours. What is the speed of the current?
A2.5 km/h
B5 km/h
C7.5 km/h
D10 km/h
Correct Answer:  A. 2.5 km/h
Explanation:

Downstream speed = 15 km/h, Upstream speed = 10 km/h. Current speed = (15-10)/2 = 2.5 km/h

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Q.274 Medium Reasoning & Aptitude
If a dice is thrown twice, what is the probability of getting a sum of 7?
A1/6
B1/12
C1/18
D5/36
Correct Answer:  A. 1/6
Explanation:

Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Probability = 6/36 = 1/6

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Q.275 Medium Reasoning & Aptitude
If TRIANGLE is written as USJBOHF in a certain code, how is SQUARE written?
ATRVBSF
BTRVBRD
CTRVARE
DTRVBSB
Correct Answer:  A. TRVBSF
Explanation:

Each letter is shifted forward by 1 position in the alphabet. S→T, Q→R, U→V, A→B, R→S, E→F.

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Q.276 Medium Reasoning & Aptitude
A train travels 240 km at 60 km/h, then 180 km at 90 km/h. What is the average speed for the entire journey?
A72 km/h
B75 km/h
C68 km/h
D70 km/h
Correct Answer:  A. 72 km/h
Explanation:

Time1 = 240/60 = 4 hours. Time2 = 180/90 = 2 hours. Total distance = 420 km, Total time = 6 hours. Average speed = 420/6 = 70 km/h.

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Q.277 Medium Reasoning & Aptitude
A, B, C, and D are four friends. A is taller than B, C is shorter than D, and B is taller than C. Who is the shortest?
AA
BB
CC
DD
Correct Answer:  C. C
Explanation:

From given conditions: A > B, D > C, B > C. Combining: A > B > C and D > C. So C is definitely the shortest.

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Q.278 Medium Reasoning & Aptitude
If 3x + 5y = 21 and x + 2y = 8, find the value of x.
A2
B3
C4
D5
Correct Answer:  A. 2
Explanation:

From x + 2y = 8, x = 8 - 2y. Substitute in 3x + 5y = 21: 3(8-2y) + 5y = 21. 24 - 6y + 5y = 21. y = 3, x = 2.

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Q.279 Medium Reasoning & Aptitude
Which term will replace the question mark? 2, 6, 12, 20, 30, ?
A40
B42
C44
D48
Correct Answer:  B. 42
Explanation:

Pattern: 1×2, 2×3, 3×4, 4×5, 5×6, 6×7. So the next term is 6×7 = 42.

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Q.280 Medium Reasoning & Aptitude
A container has 4 red balls and 6 blue balls. If 2 balls are drawn at random without replacement, what is the probability both are red?
A2/15
B4/15
C6/15
D8/15
Correct Answer:  A. 2/15
Explanation:

P(both red) = (4/10) × (3/9) = 12/90 = 2/15.

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