6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A student multiplied a number by 4/7 instead of 7/4. What is the percentage error in the calculation?

A) 206.25 percent	B) 67.35 percent
C) 33.67 percent	D) 103.13 percent

Answer & Explanation Answer: B) 67.35 percent

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

1 1755

Q:

If a boat goes a certain distance at 30 km/h and comes back the same distance at 20 km/hr, what is the average speed (in km/hr) for the total journey?

A) 25	B) 24.5
C) 24	D) 25.5

Answer & Explanation Answer: C) 24

Explanation:

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

A uniformly moving train of length 480 m takes 3 minutes to completely cross a platform. If the same train, with the same speed crosses a pole completely in 30 sec, then the length of the platform is -

A) 1 km	B) 600 m
C) 4.8 km	D) 1.2 km

Answer & Explanation Answer:

Explanation:

Let length of platform be ‘y’metres.

Then, at the platform,Distance travelled = y + (length of train) = (y + 480)m

Then, Speed of train = (y + 480)m / (3x60) sec = (y+480)/180 ...(1)

Also, at the pole,Distance travelled = length of train = 480m

Then, Speed of train = 480m / 30sec = 16 m/s ...(2)

Equating eq.(1) & eq.(2), we get,

(y+480)/180 = 16(y+480) = 16 x 180 = 2880

y = 2880 –480 = 2400m or 2.4 km long platform.

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Filed Under: Problems on Trains
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

2 1754

Q:

If $\sec^{2} A + {cosec}^{2} A = X$ , then the value of X is

A) tan2A cot2A	B) sinA cosA
C) secA cosecA	D) sec2A cosec2A

Answer & Explanation Answer: D) sec2A cosec2A

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

After selling 5% of a quantity of sugar, 5 Kgs of sugar remains . Find the total quantity of sugar?

A) 19 Kg	B) 5519 kg
C) 100 kg	D) 95 kg

Answer & Explanation Answer: B) 5519 kg

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If 35% of A's income is equal to 25% of B's income, then the ratio of A's income to B's income is

A) 7:5	B) 5:7
C) 4:7	D) 4:3

Answer & Explanation Answer: B) 5:7

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

A company reduces his employee in the ratio 14 : 12 andincreases their wages in the ratio 16:18. Determine whetherthe bill of wages increases or not and in what ratio

A) Decreases, 28: 27	B) Increases, 27:28
C) Decreases, 29:28	D) Increases, 28:29

Answer & Explanation Answer: A) Decreases, 28: 27

Explanation:

Let the initial employee be 14a and final employee be 12a

similarly initial wage is 16b and final wage be 18b

Total initial wage = 14a × 16b = 224ab,

total final wage= 12a × 18b = 216ab

So clearly wages decreases and ratio = 224ab: 216ab= 28 : 27

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Filed Under: Ratios and Proportions

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Q:

P and Q are two alloys which are prepared by mixing tin and lead in the ratio of 12 : 5 and 4 : 3 respectively. If equal quantities of alloys are melted to form athird alloy R, then what is the ratio of tin and lead in alloy R?

A) 84 : 65	B) 57 : 35
C) 76 : 43	D) 78 : 47

Quantitative Aptitude - Arithmetic Ability Questions

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