Quantitative Aptitude - Arithmetic Ability Questions

Q:

A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the value of the fraction?

A) 8/9 B) 7/10
C) 7/8 D) 6/11
 
Answer & Explanation Answer: B) 7/10

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Filed Under: Numbers
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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) Perpendicular B) Base
C) Hypotenuse D) Radius
 
Answer & Explanation Answer: D) Radius

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Filed Under: Odd Man Out
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Q:

Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?

A) 60 B) 90
C) 72 D) 120
 
Answer & Explanation Answer: B) 90

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Filed Under: Time and Work
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Q:

The average age of a class of 39 students is 15 years. If the age of the teacher is included, then the average increases by 3 months. Find the age of the teacher.

A) 30 B) 25
C) 35 D) 40
 
Answer & Explanation Answer: B) 25

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Filed Under: Problems on Ages
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Q:

There were 35 studentsina hostel.Ifthenumber of studentsbe increased by 7, the expenditure on food increases by Rs 42 per day while the average expenditure of studentsis reduced by Rs 1. What was the initial expenditure on food per day?

A) Rs 432 B) Rs 442
C) Rs 420 D) Rs 400
 
Answer & Explanation Answer: C) Rs 420

Explanation:

Let the original avg expenditure be x

Total expenditure = 35x

⇒35x + 42 = (x-1) X 42

⇒35x + 42 = 42x –42

⇒7x = 84

⇒x = 12

So, initial expenditure = 12 X 35 = 420

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Filed Under: Average
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Q:

The area of a trapezium is 21 sq cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side?

A) 12.7 cm B) 7.7 cm
C) 10.7 cm D) 5.7 cm
 
Answer & Explanation Answer: D) 5.7 cm

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Filed Under: Area
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Q:

Before a battle the ratio of tanks to planes in an army was 5 : 3. During the war 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes became 2 : 1. What is the number of tanks after the war.

A) 2000 B) 1000
C) 3000 D) 4000
 
Answer & Explanation Answer: A) 2000

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Filed Under: Ratios and Proportions
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Q:

If 1/(tanA + cotA) = x, then value of x is

A) cosAsinA B) cos2Asin2A
C) cosecAsecA D) cosec2Asec2A
 
Answer & Explanation Answer: A) cosAsinA

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Filed Under: Simplification
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