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 3396

Q:

A sum of Rs. 2600 is lent out into two parts, one at 9% and another at 7% if the total annual income is Rs. 206, find the money lent at 7%.

A) Rs. 1400	B) Rs. 900
C) Rs. 1600	D) Rs. 1200

Answer & Explanation Answer: A) Rs. 1400

Explanation:

Money lent at 9% = x
Money lent at 7% = (2600 – x)
⇒ 9x/100 + (2600 – x) X 7 /100 = 206
⇒ 9x + 18200 – 7x = 20600
⇒ 2x = 2400
⇒ x = 1200
Money lent at 7% = 2600-1200 = 1400

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Filed Under: Percentage
Exam Prep: Bank Exams

0 3395

Q:

In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?

A) 910	B) 1820
C) 455	D) 2730

Answer & Explanation Answer: A) 910

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT

6 3393

Q:

In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

A) 32√3	B) 24[(√3) – 1]
C) 48[(√3) – 1]	D) 16[3 – (√3)]

Answer & Explanation Answer: D) 16[3 – (√3)]

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 3392

Q:

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

A) Badminton	B) Table Tennis
C) Cricket	D) Hockey

Answer & Explanation Answer: A) Badminton

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

In a class of 80 students and 5 teachers, each student got shopping coupons that are 15% of the total number of students and each teacher got shopping coupons, that are 25% of the total number of students. How many shopping coupons were there?

A) 960	B) 1000
C) 1060	D) 100

Answer & Explanation Answer: C) 1060

Explanation:

Given total number of students = 80

Total teachers = 5

Number of coupons each student got = 15 x 80/100 = 12

Number of coupons each teacher got = 25 x 80/100 = 20

Therefore, total number of shopping coupons = 80 x 12 + 5 x 20 = 960 + 100 = 1060.

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

6 3390

Q:

$\frac{1}{8}$ as a decimal?

A) 0.375	B) 0.247
C) 0.214	D) 0.125

Answer & Explanation Answer: D) 0.125

Explanation:

Here $\frac{1}{8}$ in decimal means 8th part in 1.

We know that $\frac{1}{10}$ = 0.1

Then, $\frac{1}{8} = ?$

=> $? = \frac{\frac{1}{8} x 0.1}{\frac{1}{10}} = \frac{0.1 x 10}{8} = \frac{0.5}{4} \frac{1}{8} = 0.125$

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

4 3377

Q:

X starts a business with Rs 80000. After 6 months Y joins X with Rs 100000. After 2 years, what will be the ratio of profit of X and Y?

A) 16 : 15	B) 4 : 5
C) 8 : 9	D) 14 : 15

Quantitative Aptitude - Arithmetic Ability Questions

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