Aptitude and Reasoning Questions

Q:

If α and β are the roots of the equation x2+ x  1 = 0, then what is the equation whose roots are α5 and β5?

A) x2 + 7x – 1 = 0 B) x2 – 7x – 1 = 0
C) x2 – 11x – 1 = 0 D) x2 + 11x – 1 = 0
 
Answer & Explanation Answer: D) x2 + 11x – 1 = 0

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Q:

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

A) 60(√3+1) m B) 30(√3-1) m
C) 30(√3+1) m D) 60(√3-1) m
 
Answer & Explanation Answer: C) 30(√3+1) m

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Q:

From the given answer figures, select the one in which the question figure is hidden/embedded.

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

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Q:

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.

XX, XOX, XXXX, XXOXX, XXXXXX, ?

A) XXXOXXXX B) XXXOXXX
C) XXXXXXX D) XXXOXXXO
 
Answer & Explanation Answer: B) XXXOXXX

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Q:

If Tan θ = 4/3, then what is the value of Sin θ?

A) 1.25 B) 0.8
C) 4/3 D) 3/4
 
Answer & Explanation Answer: B) 0.8

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Q:

What is the reflection of the point (-0.5, 6) in the x-axis?

A) (0.5, -6) B) (-6, -0.5)
C) (6, -0.5) D) (-0.5, -6)
 
Answer & Explanation Answer: D) (-0.5, -6)

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Q:

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.

CDE, IHG, KLM, QPO, STU, ?

A) YXW B) WXY
C) XYW D) XWY
 
Answer & Explanation Answer: A) YXW

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Q:

The average weight of P, Q and R is 47 kg. If the average weight of P and Q be 32.5 kg and that of Q and R be 48.5 kg, then what is the weight of Q (in kgs)?

A) 25 B) 29
C) 21 D) 33
 
Answer & Explanation Answer: C) 21

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