Aptitude and Reasoning Questions

Q:

What is the value of sec2θ + 1sec2θ - 1 x 12cotθ - tanθ ?

A) 0 B) 1
C) cosec θ D) sec θ
 
Answer & Explanation Answer: B) 1

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Q:

The ratio of present ages of Rangana and Sayed is 7:5. After 11 years the ratio of their ages will be 4:3. What is Rangana's present age?

A) 55 B) 77
C) 70 D) 96
 
Answer & Explanation Answer: B) 77

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Q:

What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?

A) -cos y B) -sin y
C) cos x D) tan y
 
Answer & Explanation Answer: A) -cos y

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Q:

The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm2 is

A) 20 B) 10
C) 4√5 D) 10√2
 
Answer & Explanation Answer: A) 20

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Q:

Δ XYZ is right angled at Y. If m∠Z = 60°, then what is the value of (1/√2) Sec X?

A) 2/√3 B) 1/√6
C) 1/√3 D) 2/√6
 
Answer & Explanation Answer: D) 2/√6

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Q:

At what point does the line 2x + 5y = -6 cuts the X-axis?

A) (3, 0) B) (0, 3)
C) (-3, 0) D) (0, -3)
 
Answer & Explanation Answer: C) (-3, 0)

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Q:

A number is greater than 58 times its reciprocal by 3/4. What is the number?

A) -8 B) 12
C) -12 D) 8
 
Answer & Explanation Answer: D) 8

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Q:

If the shopkeeper sells an item at Rs 4400 which is marked as Rs 5000, then what is the discount that he is offering?

A) 20% B) 12%
C) 15% D) 10%
 
Answer & Explanation Answer: B) 12%

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