Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

A) cos 2θ B) sin 2θ
C) tan 2θ D) cot θ sin 2θ
 
Answer & Explanation Answer: A) cos 2θ

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Q:

If (1 - sinA)/(1 + sinA) = x, then x is

A) (cosecA - cotA)2 B) secA - tanA
C) (secA - tanA)2 D) cosecA - cotA
 
Answer & Explanation Answer: C) (secA - tanA)2

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Q:

Present ages of Rahul and his brother are in the ratio of 5 : 3. After 4 years ratio of ages of Rahul’s brother and his sister will be 5 : 6. If the present age of his sister is 26 years, then what will be the age (in years) of Rahul 3 years from now?

 

A) 38 B) 35
C) 40 D) 31
 
Answer & Explanation Answer: A) 38

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Q:

For the data given below. find the sum of mode. median and mean.6, 3, 8, 4, 3, 11, 7, 4, 5, 4.

A) 13.5 B) 13
C) 14 D) 14.5
 
Answer & Explanation Answer: C) 14

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Q:

In an exam, the avarage marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was

A) 50 B) 52
C) 60 D) 74
 
Answer & Explanation Answer: D) 74

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Q:

If y=2secθ and x=3tanθ then x29-y24 is

A) 0 B) -1
C) 2 D) 1
 
Answer & Explanation Answer: B) -1

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Q:

If a+b+c=15 and 1a+1b+1c=71abc, then the a3+b3+c3-3abc is

A) 160 B) 180
C) 200 D) 220
 
Answer & Explanation Answer: B) 180

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Q:

An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?

A) 66.66% B) 33.33%
C) 83.33% D) 56.41%
 
Answer & Explanation Answer: A) 66.66%

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Filed Under: Volume and Surface Area
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