Quantitative Aptitude - Arithmetic Ability Questions

Q:

The present population of a town is 26010. It increases annually at the rate of 2%. What was the population of town 2 years ago?

A) 25000 B) 25100
C) 25200 D) 25500
 
Answer & Explanation Answer: A) 25000

Explanation:
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Q:

Two students appeared for an examination. One of them secured 24 marks more than the other and his marks were 65% of the sum of their marks. The marks obtained by them are _____

A) 78 and 54 B) 85 and 61
C) 67 and 43 D) 52 and 28
 
Answer & Explanation Answer: D) 52 and 28

Explanation:
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Q:

Devansh's birthday is on Friday 14th April. On what day of the week will be Rohan's Birthday in the same year if Rohan was born on 20th September?

A) Tuesday B) Friday
C) Thursday D) Wednesday
 
Answer & Explanation Answer: D) Wednesday

Explanation:
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Filed Under: Calendar
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Q:

If two successive discounts of 25% and 30% are given, then what will be the ratio of marked price to selling price?

A) 20 : 7 B) 40 : 21
C) 20 : 17 D) 40 : 33
 
Answer & Explanation Answer: B) 40 : 21

Explanation:
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Filed Under: Ratios and Proportions
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Q:

Rs.7750 is divided among X, Y and Z such that 3 times of X's share is equal to 5 times of Y's share which is equal to 2 times of Z's share. What is the share (in Rs) of Z?

A) 4250 B) 3750
C) 3875 D) 4475
 
Answer & Explanation Answer: B) 3750

Explanation:
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Filed Under: Simplification
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Q:

1/8 as a decimal?

A) 0.125 B) 0.225
C) 0.325 D) 0.425
 
Answer & Explanation Answer: A) 0.125

Explanation:

1/8 to convert into decimal,

Find an equivalent fraction with a denominator of a power of 10.

In this case, we will use 1000.

18 x 125125 = 1251000

This can now be written as a decimal with 3 decimal places (because we have thousandths.

i.e, 0.125

 

Hence, 18 as a decimal = 0.125

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Filed Under: Decimal Fractions
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Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l= 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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Filed Under: Numbers
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Q:

A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, the length of the train is

A) 90 m B) 100 m
C) 120 m D) 140 m
 
Answer & Explanation Answer: C) 120 m

Explanation:

Speed of the train = 12000 / 10*60 = 20 m/s

Length of the train = Speed X time = 20 X 6 = 120m

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Filed Under: Problems on Trains
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