Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the simplified value of sec4θ  sec2θ tan2θ?

A) cosec2θ B) Cot2θ
C) sec2 θ D) secθ tan θ
 
Answer & Explanation Answer: C) sec2 θ

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Q:

If 3x - 8(2 - x) = -19, then the value of x is

A) -3/11 B) -33/11
C) -3/5 D) -33/5
 
Answer & Explanation Answer: A) -3/11

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Q:

If cos 21° = x/y, then cosec 21° -­ cos 69° is equal to

A) x2yy2-x2 B) y2xy2-x2
C) y2xx2-y2 D) x2yx2-y2
 
Answer & Explanation Answer: A) x2yy2-x2

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Q:

If √[(1 + cosA)/2] = x, then find the value of x.

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

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Q:

If the side of a square is increased by 20%, then what will be the percentage increase in its perimeter?

 

A) 20 B) 40
C) 100 D) 50
 
Answer & Explanation Answer: A) 20

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Filed Under: Area
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Q:

A man starts moving from a place A and reaches the place B in 26 hours. He covers 1/3rd of the distance at the speed of 4 km/hr and covers the remaining distance at the speed of 5 km/hr. What is the distance (in km) between A and B?

A) 45 B) 80
C) 120 D) 90
 
Answer & Explanation Answer: C) 120

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Filed Under: Time and Work
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Q:

10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) of the bigger sphere?

A) 24 B) 12
C) 8 D) 6
 
Answer & Explanation Answer: D) 6

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Filed Under: Volume and Surface Area
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Q:

If the measures of the angles of a triangle are in the ratio. 1:2:3 and if the length of the smallest side of the triangle is 10cm, then the length of the longest side is

A) 20cm B) 22cm
C) 24cm D) 18cm
 
Answer & Explanation Answer: A) 20cm

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