Quantitative Aptitude - Arithmetic Ability Questions

Q:

1000, 1012, 988, 1024, 978 Odd man out?

A) 978 B) 1024
C) 988 D) 1012
 
Answer & Explanation Answer: A) 978

Explanation:

The given series is 1000, 1012, 988, 1024, 978

1000

1000 + 12 = 1012

1012 - 24 = 988

988 + 36 = 1024

1024 - 48 = 976 (Not 978)

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Q:

In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days, 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?

A) 12 days B) 10 days
C) 8 days D) 6 days
 
Answer & Explanation Answer: B) 10 days

Explanation:

Quantity of food = 200 X 31 = 6200 man-days

Till 27 days, quantity consumed = 27 X 200 = 5400 man-days

Remaining quantity = 6200 –5400 = 800 man days

Remaining soilders = 200 –120 = 80

Let remaining food will be sufficient for x days⇒5400 + 80x = 6200⇒x= 10 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A and B entered into a partnership with Rs.800 and Rs.1600 respectively. From 9th months onward they each decided to invest Rs.100 more on starting of each month. If total annual profit is Rs.7700 then find the profit share of A.

A) Rs.2550 B) Rs.3200
C) Rs.2650 D) Rs.2450
 
Answer & Explanation Answer: C) Rs.2650

Explanation:

A : B = (800 × 8+ 900+ 1000+ 1100+ 1200): (1600 × 8+ 1700+ 1800+ 1900+ 2000)
A : B = 53 : 101
Profit of A ⇒ 7700 ×53/154 = 2650 Rs.

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Q:

Mohan invested Rs. 100000 in a garment business. After few months, Sohan joined him with Rs. 40000. At the end of the year, the total profit was divided between them in ratio 3 : 1. After how many months did Sohan join the business?

A) 3 B) 2
C) 4 D) 5
 
Answer & Explanation Answer: B) 2

Explanation:
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Filed Under: Partnership
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Q:

The areas of three consecutive faces of a cuboid are 12 cm², 20cm² and 15 cm², then the volume (in cm³) of the cuboid is

A) 60 B) 55
C) 45 D) 40
 
Answer & Explanation Answer: A) 60

Explanation:

From the given data,

let the length, breadth and height of the cuboid are m, n, r

m x n = 12

n x r = 20

r x m = 15

 

Hence, m x n x n x r x r x m = 12 x 20 x 15

mnr = sqrt of (12x20x15) = 60 cub.cm.

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Filed Under: Volume and Surface Area
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Q:

When I was 24, my mother was twice my age. Now I am 44, how old is my mother?

A) 84 B) 48
C) 68 D) 88
 
Answer & Explanation Answer: C) 68

Explanation:

From the given data,

when my age is 24, my mothers age is double of my age 

=> 48 yrs is my mothers age

=> Difference is 48 - 24 = 24 years.

 

When my age is 44

=> My mother is 44 + 24 = 68 years aged.

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Filed Under: Problems on Ages
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Q:

An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be the value of the investment in five years time, if the interest is compounded annually

A) 7346.64 B) 8346
C) 3456 D) 4567
 
Answer & Explanation Answer: A) 7346.64

Explanation:

The only part of this type of calculation that needs particular
care is that concerning the interest rate. The formula assumes that
r is a proportion, and so, in this case:
r = 0.08
In addition, we have P = 5,000 and n = 5, so:
V = P(1 + r)5 = 5,000 x (1 + 0.08)5 = 5,000 x 1.469328 = 7,346.64
Thus the value of the investment will be 7,346.64

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Filed Under: Compound Interest
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Q:

A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct, then the correct answer would be ?? please explain in detail

A) 553681 B) 555181
C) 555681 D) 556581
 
Answer & Explanation Answer: C) 555681

Explanation:
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