6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What time does the mirror image of an analog clock at 5'O clock show?

A) 12 :00	B) 5 :00
C) 7 :00	D) 6 :00

Answer & Explanation Answer: C) 7 :00

Explanation:

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Filed Under: Clocks
Exam Prep: Bank Exams

12 6445

Q:

The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______?

A) 29.87%	B) 33.33%
C) 22.22%	D) 19.5%

Answer & Explanation Answer: B) 33.33%

Explanation:

% Decrease in Width = $\frac{50}{150} x 100$

= 33.33%

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

13 6444

Q:

If the area of a square with side a s equal to the area of a triangle with base a, then the altitude of the triangle is

A) a	B) 2a
C) 5a	D) 3a

Answer & Explanation Answer: B) 2a

Explanation:

Area of a square with side a = a² sq unts

Area of a triangle with base a = (1/2) * a * h sq.unts

a² =1/2 *a *h

=> h = 2a

altitude of the triangle is 2a

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

1 6441

Q:

Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ?

A) 22 sec	B) 32 sec
C) 42 sec	D) 52 sec

Answer & Explanation Answer: B) 32 sec

Explanation:

Given that,

1st train speed = 62 km/hr

2nd train speed = 44 km/hr

Hence the relative speed of two trains is : 62-44 = 18 km/hr = $18 \times \frac{5}{18}$ m/s = 5 m/s.

There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5m/s in,

time = $\frac{d i s \tan c e}{s p e e d} = \frac{85 + 75}{5}$ = 32 sec.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank Clerk

8 6438

Q:

A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.

A) Rs. 1250	B) Rs. 600
C) Rs. 900	D) Rs. 1500

Answer & Explanation Answer: D) Rs. 1500

Explanation:

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference =

$\frac{6 - 5}{6 + 5} (\frac{88}{100} x 7500) + \frac{12}{100} x 7500 = \frac{1}{11} x 88 x 75 + 12 x 75 = 600 + 900 = 1500$

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

8 6433

Q:

Car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a. What is the total cost of the car?

A) 30.240	B) 31.240
C) 33.240	D) 32,240

Answer & Explanation Answer: D) 32,240

Explanation:

Total cost = deposit + instalment amount × number of instalments

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

2 6432

Q:

The difference of two numbers is 11 and (1/5)th of their sum is 9. The numbers are

Answer

Let the numbers be x and (x-11)

$\frac{1}{5}\times (x+x-11)=9$

$\inline \fn_jvn \Rightarrow$ x = 28

$\inline \fn_jvn \therefore$ Another Number is (28 - 11) = 17

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Subject: Numbers

14 6429

Q:

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

A) 2%	B) 2.02%
C) 4%	D) .4.04%

Answer & Explanation Answer: D) .4.04%

Explanation:

100 cm is read as 102 cm.

A1 = (100 x 100) and A2 =(102 x 102)

(A2 - A1) = [(102 x 102)-(100 x 100) ]= 404

Percentage error =[404/(100 x 100 )] x 100%= 4.04%

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Filed Under: Volume and Surface Area

1 6425

Quantitative Aptitude - Arithmetic Ability Questions

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