6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

if $\log_{10} 5 + \log (5 x + 1) = \log_{10} (x + 5) + 1, t h e n x i s e q u a l t o$

A) 1	B) 3
C) 5	D) 10

Answer & Explanation Answer: B) 3

Explanation:

$\log_{10} 5 + \log (5 x + 1) = \log_{10} (x + 5) + 1$

$\log_{10} [5 (5 x + 1)] = \log_{10} [10 (x + 5)]$

$5 (5 x + 1) = 10 (x + 5)$

5x+1=2x+10

3x=9

x=3

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Filed Under: Logarithms
Exam Prep: Bank Exams
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29 7766

Q:

If 1 is added to the denominator of a traction, the fraction becomes 1/2. If 1 is added to the numerator of the fraction, the fraction becomes 1. The fraction is :

A) 1/3	B) 2/3
C) 4/3	D) 5/3

Answer & Explanation Answer: B) 2/3

Explanation:

Let the fraction be x/y. Then, x /(y+1) = 1/2

=> 2x - y = 1 ..........(i)and

(x + 1) / y = 1 => x - y = 1 .......(ii)

Solving (i) and (ii), we get : x = 2, y = 3. Hence, the required fraction is 2/3..

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Filed Under: Problems on Numbers

4 7747

Q:

How many three digit numbers 'abc' are formed where two of the three digits are same ?

A) 252	B) 648
C) 243	D) 900

Answer & Explanation Answer: C) 243

Explanation:

Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10

First all possible case => 9(0 excluded) x 10 x 10 = 900

Second no repetition allowed =>9 x 9 x 8 = 648

Third all digits are same => 9 (111,222,333,444,555,666,777,888,999)

Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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4 7744

Q:

Every year before the festive season, a brand store increases the price of the product by 42% and then introduce two successive discount of 10% and 11% respectively. What is percentage loss and percentage gain ?

A) 3.25% loss	B) 13.742% loss
C) 3.25% gain	D) 13.742% gain

Answer & Explanation Answer: D) 13.742% gain

Explanation:

Let CP = 100,
42 % increase => SP = 142
10 % discount in SP => ((142 x 10)/100) = 14.2
So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.058
2nd SP = (127.8 - 14.058) = 113.742,
So finally CP = 100, SP = 113.742, => gain = 13.742%.

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Filed Under: Profit and Loss
Exam Prep: Bank Exams , CAT , GATE , GRE
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11 7739

Q:

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m³) is:

A) 4830	B) 5120
C) 6420	D) 8960

Answer & Explanation Answer: B) 5120

Explanation:

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Filed Under: Volume and Surface Area

4 7735

Q:

The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.

A) 2:25	B) 3:25
C) 4:25	D) 6:25

Answer & Explanation Answer: C) 4:25

Explanation:

let the diagonals of the squares be 2x and 5x respectively

ratio of their areas = $\frac{1}{2} * {(2 x)}^{2} : \frac{1}{2} * {(5 x)}^{2}$ = 4:25

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

2 7726

Q:

What are the Multiples of 6 and the Common Multiples of 4 and 6?

A) 12, 34, 42	B) 12, 18, 36,
C) 6, 4, 14	D) 4, 8, 16

Answer & Explanation Answer: B) 12, 18, 36,

Explanation:

The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.

The Common Multiples of 4 & 6 upto 60 numbers are given as 12, 24, 36, 48, 60.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

10 7723

Q:

Rushi and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Ram joins them with a capital of two third of that of Arun. After a year, profit share of Rushi was Rs. 5600, then find total profit?

A) 26,250	B) 19,200
C) 18,650,	D) 15,200

Answer & Explanation Answer: D) 15,200

Explanation:

Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6)

= 7 : 9 : 3

Given Rushi's one year profit = Rs. 5600

=> Let the total profit = Rs. P

Then,

P x 7/19 = 5600

Total profit P = 19 x 5600/7 = Rs. 15,200.

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

8 7722

Quantitative Aptitude - Arithmetic Ability Questions

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