Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of [(cos 7A + cos 5A)÷(sin 7A – sin 5A)]?

A) tan A B) tan 4 A
C) cot 4 A D) cot A
 
Answer & Explanation Answer: D) cot A

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Filed Under: Simplification
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Q:

What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion?

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

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Filed Under: Ratios and Proportions
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Q:

The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 : 11. The quadrilateral is a ______.

A) trapezium B) rectangle
C) parallelogram D) square
 
Answer & Explanation Answer: C) parallelogram

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Filed Under: Volume and Surface Area
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Q:

Curved surface area of a cylinder is 528 sq cm. If circumference of its base is 44 cm, find the height of the cylinder?

A) 12 cm B) 24 cm
C) 36 cm D) 6 cm
 
Answer & Explanation Answer: A) 12 cm

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Q:

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: 3 years ago the ratio of age of A and B is 3: 4 after 2 years the sum of their ages is 45. Then find the present age of A? 

Quantity II: 5 years ago, the ratio of age of p and Q id 3: 4 P’s age after 6 years is equal to the present age of Q. the find the present age of P?

 

 

A) Quantity I > Quantity II B) Quantity I ≥ Quantity II
C) Quantity I < Quantity II D) Quantity I < Quantity II
 
Answer & Explanation Answer: C) Quantity I < Quantity II

Explanation:

Quantity I= Let 3 year ago the age of A and B be 3x and 4x respectively

Then ATQ 3x+5+4x+5=45 X=5

Hence present age of A=3x+3=18year

Quantity II== Let 5 year ago the age of p and q be 3x and 4x respectively 

Then ATQ 

3x+11=4x+5 

X=6 Hence present age of P=3x+5=23

Hence Quantity I < Quantity II

 

 

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Filed Under: Problems on Ages

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Q:

The ratio of present ages of Rambha and Sarvesh is 8:5. After 7 years the ratio of their ages will be 5:4. What is Rambha's present age?

A) 5 B) 30
C) 8 D) 48
 
Answer & Explanation Answer: C) 8

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Filed Under: Problems on Ages
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Q:

The sum of two angles of a triangle is 116o and their difference is 24o . The measure of smallest angle of the triangle is

A) 38° B) 28°
C) 46° D) 64°
 
Answer & Explanation Answer: C) 46°

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Q:

In a bag the ratio of red balls to green balls is 4 : 9. If 6 more green balls were added to the bag, the ratio of red balls to green balls would become 1 : 3. How many red balls are there in the bag?

A) 9 B) 10
C) 8 D) 12
 
Answer & Explanation Answer: C) 8

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Filed Under: Ratios and Proportions
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