6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?

A) 2 9/7 km	B) 3 7/5 km
C) 1 3/4 km	D) 4 3/8 km

Answer & Explanation Answer: D) 4 3/8 km

Explanation:

Relative Speed = 5 ¾ - 4 ½ = 1 ¼

Time = 3 ½ h.

Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

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Filed Under: Time and Distance
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9 13557

Q:

Find the next number in the series 3, 4, 5, 5, 12, 13, 7, 24, 25, 8, 15, ...

A) 26	B) 16
C) 17	D) 18

Answer & Explanation Answer: C) 17

Explanation:

The pattern is $3^{2} + 4^{2} = 5^{2}$ , $5^{2} + 12^{2} = 13^{2}$ , $7^{2} + 24^{2} = 25^{2}$

The next number = $8^{2} + 15^{2} = 17^{2}$

i.e. 17

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Filed Under: Numbers
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27 13554

Q:

A, B and C have amounts in the ratio of 3 : 4 : 5. First B gives 1/4th to A and 1/4th to C then C gives 1/6th to A. Find the final ratio of amount of A, B and C respectively.

A) 4:3:5	B) 5:4:3
C) 3:4:5	D) 5:2:5

Answer & Explanation Answer: D) 5:2:5

Explanation:

A B C

3x 4x 5x

(3x+x) 2x (5x+x) (B Gives 1/4 to A and 1/4 to C)

=4x 2x 6x

(4x+x) 2x 5x ( C Gives 1/6 to A)

=5x 2x 5x

Therefore, 5 : 2 : 5

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Filed Under: Ratios and Proportions

13 13542

Q:

Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join.

A) 7 months	B) 8 months
C) 3 months	D) 4 months

Answer & Explanation Answer: D) 4 months

Explanation:

we can assume that Amar join into business after x months. So Amar money was invest into (12 – x ) months.

$\frac{76000 \times 12}{57000 \times (12 - x)} = \frac{2}{1}$

--> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

--> x = 4

After 4 months amar join the business.

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Filed Under: Partnership
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7 13532

Q:

Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ?

A) 600	B) 300
C) 150	D) 75

Answer & Explanation Answer: A) 600

Explanation:

1/2:1/3:1/4 = 6:4:3

As the difference is 3

=> 3/13x2600 = 600

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Filed Under: Ratios and Proportions
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20 13524

Q:

If V = 12R / (r + R) , then R =

A) Vr / (12 - V)	B) Vr + (V /12 )
C) V	D) V / (r - 12 )

Answer & Explanation Answer: A) Vr / (12 - V)

Explanation:

We have to rearrange the equation to make R the subject.

Start by cross multiplying by (r + R); V (r + R) = 12R

Multiply out the bracket Vr + VR = 12R

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Filed Under: Numbers
Exam Prep: GRE

12 13515

Q:

40% of 265 + 35% of 180 = 50% of ?

A) 383	B) 338
C) 84.5	D) 253.5

Answer & Explanation Answer: B) 338

Explanation:

We know that 40% = $\frac{2}{5}$

40% of 265 + 35% of 180 = 50% ?

$\frac{2}{5}$ x 265 + 35% of 180 = 50% ?

We know that (35% of 180 = 180% of 35) & 180% = $\frac{9}{5}$

$\frac{2}{5}$ x 265 + $\frac{9}{5}$ x 35 = 50% ?

106 + 63 = 50% ?

?= 2 x 169 = 338.

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Filed Under: Percentage
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10 13481

Q:

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A) 75 cubic meter	B) 750 cubic meter
C) 7500 cubic meter	D) 75000 cubic meter

Answer & Explanation Answer: B) 750 cubic meter

Explanation:

1 hectare = 10,000 Sq.m

So, Area = (1.5 x 10000) Sq.m

Depth = 5/100 m = 1/20 m

Therefore, Volume = Area X Depth = 15000 x (1/20)= 750 cu.m

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Filed Under: Volume and Surface Area

29 13453

Quantitative Aptitude - Arithmetic Ability Questions

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