6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds	B) 90 seconds
C) 105 seconds	D) 135 seconds

Answer & Explanation Answer: C) 105 seconds

Explanation:

Let the plane be at point A at t se

conds and at point B

after t + 30 seconds

Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is

diametrically opposite to the point P from where the angle is same.

Now since the time taken to cover the full circ

le is 3 minutes (180

seconds), the time taken by the plane

to reach the diametrically opposite point will be 90 seconds.

So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds

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Filed Under: Time and Distance
Exam Prep: Bank Exams

3 2502

Q:

At 9.5% simple interest per annum a sum of money became Rs. 942 in 6 years. The sum initially invested was:

A) 600	B) 616
C) 626	D) 636

Answer & Explanation Answer: A) 600

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

4 2499

Q:

2% of a = b, then b% of 10 is the same as:

A) 200% of a	B) 20% of a/100
C) 20% of a/10	D) 200% of a/10

Answer & Explanation Answer: C) 20% of a/10

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

10 2494

Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

A) 15	B) 3
C) 9	D) 6

Answer & Explanation Answer: A) 15

Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

Required, difference between the numbers = a + b = 9 + 6 = 15.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

7 2493

Q:

What is 5% of 4000?

A) 180	B) 200
C) 220	D) 240

Answer & Explanation Answer: B) 200

Explanation:

5% of 4000

= 5 x 4000/100

= 5 x 40

= 200

Hence, 5% of 4000 = 200.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

5 2491

Q:

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train?

A) 42 kmph	B) 43 kmph
C) 40 kmph	D) 45 kmph

Answer & Explanation Answer: C) 40 kmph

Explanation:

We know that, Speed = Distance/time

Let the speed of the train be = x kmph

           NORMAL SPEED                           SPEED 5 KMPH MORE

          Distance = 360 Km                         Distance =360

          speed    = X Kmph                        Speed = (x+5)

            Time =360/X                              Time =360/(x+15)

For the same journey if the speed increased 10 kmph more it will take 1 hour less

Time with original speed - time with increased speed = 1

=> (360/x) - (360/x+10) = 1

=> (360(x+5)-360x)/x(x+5) =1

=> 360X + 1800 -360X = X(X+5)

  => X^2 + 5x - 1800 = 0

X = 40 or -45

X cannot be negetive value

X = 40 kmph.

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Filed Under: Problems on Trains
Exam Prep: TOEFL , GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

4 2484

Q:

What is the HCF (highest common factor) of 133 and 112?

A) 15	B) 7
C) 19	D) 6

Answer & Explanation Answer: B) 7

Explanation:

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

9 2481

Q:

Two buses travel to a place at 45 km/hr and 60 km/hr respectively. If the second bus takes 51⁄2 hours less than the first for the journey, the length of the journey is:

A) 900 km	B) 940 km
C) 990 km	D) 1300 km

Quantitative Aptitude - Arithmetic Ability Questions

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