Quantitative Aptitude - Arithmetic Ability Questions

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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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is

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

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is

A) 41 B) 21
C) 42 D) 84
 
Answer & Explanation Answer: C) 42

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

In what ratio rice costing Rs 14/kg mixed with another rice costing Rs 11/kg to get the mixture costing Rs 11.6/kg?

 

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

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

What is the simplified value of (cos A + sin A)(cot A + tan A)?

A) sec A + cosec A B) sin A + cos A
C) tan A + cot A D) sec A – cosec A
 
Answer & Explanation Answer: A) sec A + cosec A

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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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Filed Under: Simplification
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Q:

Select the related word/letters/number from the given alternatives.
1 : 8 :: ? :64

A) 25 B) 36
C) 30 D) 27
 
Answer & Explanation Answer: D) 27

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

A) 1 : 2 B) 1 : 4
C) 1 : 7 D) 1 : 8
 
Answer & Explanation Answer: C) 1 : 7

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Filed Under: Ratios and Proportions
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