6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h

A) 90 km/h	B) 160 km/h
C) 67.5 km/h	D) None of these

Answer & Explanation Answer: B) 160 km/h

Explanation:

$\frac{s_{1}}{s_{2}} = \sqrt{\frac{t_{2}}{t_{1}}}$

$\Rightarrow \frac{120}{s_{2}} = \sqrt{\frac{9}{16}} = \frac{3}{4}$

$\Rightarrow$ $s_{2} = 160 k m / h$

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Filed Under: Time and Distance

165 49733

Q:

The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is

A) 4	B) 6
C) 8	D) 12

Answer & Explanation Answer: A) 4

Explanation:

Let the required numbers be 33a and 33b.

Then 33a +33b= 528 => a+b = 16.

Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).

Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)

The number of such pairs is 4

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Filed Under: HCF and LCM

129 49612

Q:

At what time between 9 and 10 o'clock will the hands of a watch be together?

A) (49 + 3/11) min past 11	B) (49 +1/11) min past 9
C) (45 +1/11) min past 9	D) (45 +7/11) min past 11

Answer & Explanation Answer: B) (49 +1/11) min past 9

Explanation:

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.
55 min. spaces gained in 60 min.

45 min. spaces are gained in $\frac{60}{55} \times 45$ min or $49 \frac{1}{11}$ min

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

64 49488

Q:

$∆$ DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3).

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

Answer & Explanation Answer: B) 1/√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 49367

Q:

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is

A) 101	B) 107
C) 111	D) 185

Answer & Explanation Answer: C) 111

Explanation:

Let the numbers be 37a and 37b. Then , 37a x 37b =4107 => ab = 3.

Now co-primes with product 3 are (1,3)

So, the required numbers are (37 x 1, 37 x 3) i.e, (37,111).

Therefore, Greater number = 111.

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Filed Under: HCF and LCM

64 49359

Q:

ΔABC is right angled at B. If m∠C = 45 deg, then find the value of (cosecA - √3).

A) (4-√3)/2	B) √2-√3
C) -√3/2	D) (√6-1)/√3

Answer & Explanation Answer: B) √2-√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 49307

Q:

In the following question, select the odd letter/letters from the given alternatives.

A) EHL	B) JMP
C) SVY	D) QTW

Answer & Explanation Answer: A) EHL

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 49213

Q:

In the following question, select the odd word pair from the given alternatives.

A) Surgeon – Scalpel	B) Tailor – Scissors
C) Chisel – Sculptor	D) Chef – Knife

Quantitative Aptitude - Arithmetic Ability Questions

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