6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of √2 Sec 45 - Tan 30?

A) (2√3 - 1)/3	B) (√3 - 1)/√3
C) (2√3 - 1)/√3	D) (√3 - 1)/3

Answer & Explanation Answer: C) (2√3 - 1)/√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1862

Q:

A book is sold at three successive discounts of 20%, 20% and 10%. What is the net discount (in percentage)?

A) 42.4	B) 48.6
C) 44.2	D) 40.4

Answer & Explanation Answer: A) 42.4

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

3 1862

Q:

The area of an equilateral triangle is 25√3 sq.cm. Find its side (in cm).

A) 10	B) 5
C) 20	D) 30

Answer & Explanation Answer: A) 10

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Filed Under: Area
Exam Prep: Bank Exams , CAT

0 1862

Q:

The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?

A) 18√3 sq cm	B) 9√3 sq cm
C) 18√2 sq cm	D) 9√2 sq cm

Answer & Explanation Answer: A) 18√3 sq cm

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Filed Under: Area
Exam Prep: Bank Exams

0 1861

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

7 1861

Q:

If a + b + c = 9, ab + bc + ca = 26, $a^{3} + b^{3} = 91, b^{3} + c^{3} = 72 and c^{3} + a^{3} = 35$ , then what is the value of abc?

A) 48	B) 24
C) 36	D) 42

Answer & Explanation Answer: B) 24

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1861

Q:

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

A) 3√2	B) 3/√2
C) 1/√2	D) √2

Answer & Explanation Answer: D) √2

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1861

Q:

If 3x - 7 = 5x - 1, then the numerical value of ${(x - 4)}^{2}$ is

A) 1	B) 49
C) -1	D) -49

Quantitative Aptitude - Arithmetic Ability Questions

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