6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?

A) 360sq metre	B) 380 sq metre
C) 360 metre	D) 400 sq metre

Answer & Explanation Answer: A) 360sq metre

Explanation:

Let the breadth of rectangle be x m.

Then, the length of rectangle = (x+ 6) m

Perimeter of rectangle = 2 (x+x+ 6) m

Therefore, 2 (x+x+ 6) = 84 m

4x+ 12 = 84

4x= 84 –12
4x = 72/4 = 18
Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle

Diagonal of rectangle = √(324+576) = 30 m = base of triangle

Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m

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Filed Under: Area
Exam Prep: Bank Exams
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3 2544

Q:

The minimum value of LCM of given numbers is ........... the product of all the given numbers.

A) always greater than	B) always less than
C) always equal to	D) None

Answer & Explanation Answer: D) None

Explanation:

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

5 2544

Q:

The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5.The ratio of their ages after 21 years will be

A) 14:17	B) 17:19
C) 11:12	D) 10:11

Answer & Explanation Answer: D) 10:11

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

1 2542

Q:

Ramesh marks his article at Rs 6000 and after allowing a discount of 20%, he still earns 60% profit. What is the cost price (in Rs) of the article?

A) 3600	B) 4800
C) 3000	D) 4200

Answer & Explanation Answer: C) 3000

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

3 2539

Q:

One tap can fill a water tank in 50 mins and another tap can make the filled tank empty in 75 mins. If both the taps are open together, already half filled tank would be full in

A) 60 min	B) 75 min
C) 125 min	D) 150 min

Answer & Explanation Answer: B) 75 min

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

1 2539

Q:

Painter 'A' can paint a house in 10 days and 'B' can do it in 20 days. With help of 'C', they did the job in 5 days only. Then, 'C' alone can do the job in:

A) 20 days	B) 10 days
C) 40 days	D) 50 days

Answer & Explanation Answer: A) 20 days

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

0 2537

Q:

If (1 + secA)/tanA = x, then x is

A) cot(A/2)	B) tan(A/2)
C) cosec(A/2)	D) sec(A/2)

Answer & Explanation Answer: A) cot(A/2)

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

6 2536

Q:

The quadratic equation $(1 + a^{2}) x^{2} + 2 abx + (b^{2} - c^{2}) = 0$ has only one root. What is the value of $c^{2} (1 + a^{2})$ ?

A) a2	B) b2
C) c2	D) ab

Quantitative Aptitude - Arithmetic Ability Questions

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