Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x = 11, the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is

A) 11 B) 10
C) 12 D) -10
 
Answer & Explanation Answer: B) 10

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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:

Convert decimal number 101 to binary.

A) 1100101 B) 1100111
C) 1101001 D) 1101011
 
Answer & Explanation Answer: A) 1100101

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Q:

K is 5 years older to H. H is 3 years younger to R. R is 6 years older to C. C is 7 years younger to L. Who is the eldest?

A) H B) K
C) R D) L
 
Answer & Explanation Answer: B) K

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Filed Under: Problems on Ages
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Q:

The distance between the points (4, 8) and (k,-4) is 13. What is the value of k?

A) 1 B) 3
C) -1 D) -3
 
Answer & Explanation Answer: C) -1

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Q:

Among four students sitting in a row, average age of last three students is 20 years and the average age of first three students is 21 years. If the age of first student is 26 years, then what is the age (in years) of the last student?

A) 23 B) 37
C) 24 D) 29
 
Answer & Explanation Answer: A) 23

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Q:

The sum of 15 observations of a data is (434 + x). If the mean of the data is x, then the value of x is

A) 31 B) 33
C) 27 D) 25
 
Answer & Explanation Answer: A) 31

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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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