Aptitude and Reasoning Questions

Q:

If XY = a+23 and YX = 13, then find the value of X2 + Y2X2 - Y2.

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

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Q:

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?

A) 1 : 2 B) 3 : 2
C) 4 : 5 D) 4 : 7
 
Answer & Explanation Answer: C) 4 : 5

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Q:

If x - y = -8 and xy = 45, then (x2 + y2) is

A) 154 B) 64
C) 90 D) 26
 
Answer & Explanation Answer: A) 154

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Q:

What is the equation of the line whose y­-intercept is 4 and making an angle of 45° with the positive x-­axis?

A) x + y = -­4 B) x -­ y = 4
C) x + y = 4 D) x -­ y = ­-4
 
Answer & Explanation Answer: D) x -­ y = ­-4

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Q:

What is the value of √[(1 + sinA)/(1 -­ sinA)]?

A) secA -­ tanA B) cosecA + tanA
C) secA + tanA D) cosecA -­ tanA
 
Answer & Explanation Answer: C) secA + tanA

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Q:

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

A) x2 – 1522x + 14641 = 0 B) x2 + 1921x + 14641 = 0
C) x2– 1764x + 14641 = 0 D) x2+ 2520x + 14641 = 0
 
Answer & Explanation Answer: A) x2 – 1522x + 14641 = 0

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Q:

When 2x + 2x = 3, then x3 + 1x + 2 value is

A) 2/7 B) 7/8
C) 7/2 D) 8/7
 
Answer & Explanation Answer: B) 7/8

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Q:

If a mirror is placed on the line MN, then which is the right image of the given figure?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

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