6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10 kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was :

A) 10 kg	B) 15 kg
C) 20 kg	D) 25 kg

Answer & Explanation Answer: A) 10 kg

Explanation:

Let the original quantity be x kg. Vanaspati ghee in x kg = (40x / 100 )kg = (2x / 5) kg.

Now, (2x/5)/(x + 10) = 20/100

=> 2x / (5x + 50) = 1/5

=> 5x = 50

=> x = 10.

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Filed Under: Percentage

54 24206

Q:

In an examination, 34% of the students failed in Mathematics and 42% faiied in English. If 20% of the students failed in both the subjects, then the percentage of students who passed in both the subjects was :

A) 34 %	B) 44 %
C) 54 %	D) 64 %

Answer & Explanation Answer: B) 44 %

Explanation:

n (A) = 34, n (B) = 42, n (A ∩ B) = 20.

So, n (A U B) = n (A) + n(B) - n(A ∩B) = 34 + 42 - 20 = 56.

Percentage failed in either or both the subjects = 56.

Hence, percentage passed = (100 - 66)% = 44%.

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Filed Under: Percentage

28 24195

Q:

In a Plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and B , and no two are parallel. Find the number of points of intersection of the straight lines.

A) 525	B) 535
C) 545	D) 555

Answer & Explanation Answer: B) 535

Explanation:

The number of points of intersection of 37 lines is $C_{2}^{37}$ . But 13 straight lines out of the given 37 straight lines pass through the same point A.

Therefore instead of getting $C_{2}^{13}$ points, we get only one point A. Similarly 11 straight lines out of the given 37 straight lines intersect at point B. Therefore instead of getting $C_{2}^{11}$ points, we get only one point B.

Hence the number of intersection points of the lines is $C_{2}^{37} - C_{2}^{13} - C_{2}^{11} + 2$ = 535

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

43 24179

Q:

What value should come in place of the question mark (?) in the following question?

${(?)}^{2} % of 650 = {(20)}^{2} + 4^{2}$

A) 8	B) 64
C) 8	D) 642

Answer & Explanation Answer: A) 8

Explanation:

$?^{2} = \frac{400 + 16}{650} x 100 ? = 8$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

0 24121

Q:

The ratio of investments of two partners is 11:12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months , find for how much time B invested his money.

Answer

Suppose A invested Rs.11 for 8 months and B invested Rs. 12 for x months.

$\inline \therefore$ Ratio of investments of A and B

= (11 x 8) : (12 x x)

= 88 : 12x

$\inline \therefore$ $\inline \frac{88}{12x}=\frac{2}{3}\Rightarrow x=11$

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Subject: Partnership

26 24113

Q:

In what ratio should water and wine be mixed so that after selling the mixture at the cost price a profit of 33.33% is made?

A) 1:4	B) 1:3
C) 2:3	D) 3:4

Answer & Explanation Answer: B) 1:3

Explanation:

33.33% profit means there is one part water and 3 part is pure wine. so the required ratio of water and wine in the mixture is 1:3

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Filed Under: Profit and Loss

64 24095

Q:

Four ladies A, B, C and D and four gentlemen E, F, G and H are sitting in a circle round a table facing each other.

Directions:

(1) No two ladies or two gentlemen are sitting side by side.

(2) C, who is sitting between G and E is facing D.

(3) F is between D and A and is facing G.

(4) H is to the right of B.

Question:

1. Who are immediate neighbours of B?

2. E is facing whom?

A) G & H , H	B) F & H , B
C) E & F , F	D) E & H , G

Answer & Explanation Answer: A) G & H , H

Explanation:

From the directions given :

f11482726547.png image

From the fig. it is clear that

1) neighbours of B are G , H.

2) E is facing H.

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Filed Under: Permutations and Combinations
Exam Prep: CAT
Job Role: Bank PO

22 24085

Q:

What will be the 20th term in the given sequence?

-50, -47, -44, _

A) -10	B) 10
C) -7	D) 7

Quantitative Aptitude - Arithmetic Ability Questions

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