6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

A) (√6 + 1)/√3	B) √3
C) (1 + 3√2)/√3	D) (3 + 2√2)/3√2

Answer & Explanation Answer: D) (3 + 2√2)/3√2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the effective discount on two successive discounts of 20% and 25%?

A) 45%	B) 40%
C) 50%	D) 60%

Answer & Explanation Answer: B) 40%

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Two taps P and Q can fill a tank in 24 hours and 18 hours respectively. If the two taps are opened at 11 a.m., then at what time (in p.m.) should the tap P be closed to completely fill the tank at exactly 2 a.m.?

A) 5	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

Rita buys 5 sarees at an average cost of Rs 2250. If she buys three more sarees at an average cost of Rs 2750, what will be the average (in Rs) of all the sarees she buys?

A) 2437.5	B) 2500
C) 2450	D) 2332.5

Answer & Explanation Answer: A) 2437.5

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

A and B invest Rs. 3000 and Rs. 2400 respectively in a business. If after one year there is a loss of Rs. 720, how much loss will B bear? (Loss or Profit is in proportion to their investments)

A) Rs. 72	B) Rs. 320
C) Rs..400	D) Rs. 360

Answer & Explanation Answer: B) Rs. 320

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the ratio of the length of a rectangle to the side of a square?

I. The area of the square is 576 sq cm and the area of the rectangle is 600 sq cm.

II. The breadth of the rectangle is half the side of the square.

A) The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.	B) The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
C) The data in either Statement I alone are in Statement II alone are sufficient to answer the question.	D) The data in both the Statements I and II are not sufficient to answer the question.

Answer & Explanation Answer:

Explanation:

From statement I, Area of square = 576 sq cm
Side of square = 24 cm
Area of rectangle = l × b
l × b = 600 sq cm
From statement II, Suppose the breadth of the
rectangle is x. Then side of the square = 2x
Combining both the information, we have
x =12 cm
Now, l × 12 = 600

$l = \frac{600}{12} = 50 c m$

Required ratio = $\frac{50}{24} = \frac{25}{12} = 25 : 12$

Both the statements together are sufficient.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h	B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h	D) 5 km/h and 2 km/h

Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

If the selling price is Rs 728 after getting a discount of 9%, what was the marked price?

A) Rs 793.52	B) Rs 800
C) Rs 662.48	D) Rs 667

Quantitative Aptitude - Arithmetic Ability Questions

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