Quantitative Aptitude - Arithmetic Ability Questions

Q:

If tan θ + cot θ = x, then what is the value of tan4θ + cot4θ?

A) (x3 – 3)2 + 2 B) (x4 – 2x) + 4
C) x2 (x2 – 4) + 2 D) x
 
Answer & Explanation Answer: C) x2 (x2 – 4) + 2

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Q:

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 =0 has infinite number of solutions?

A) 3 B) 4
C) 6 D) 9
 
Answer & Explanation Answer: B) 4

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Q:

Select the odd word from the given alternatives.

A) Cyan B) Crimson
C) Indigo D) Sky blue
 
Answer & Explanation Answer: B) Crimson

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) 4313 B) 5434
C) 8723 D) 3674
 
Answer & Explanation Answer: A) 4313

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Q:

What is the value of 64% of 75% of 8100?

A) 4212 B) 3426
C) 2916 D) 3888
 
Answer & Explanation Answer: D) 3888

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Q:

In the question, two equations I and II are given. You have to solve both the equations and give answer

x2-11x+28=0y2-18y+81=0

A) x > y B) x < y
C)  x=y, or relation cannot be established between x and y D) x ≥ y
 
Answer & Explanation Answer: B) x < y

Explanation:

x2 – 11x + 28=0

x2 – 7x – 4x + 28=0

x (x-7) – 4 (x-7)=0

(x-4) (x-7)=0 x=4, 7

y2 – 18y + 81=0

y2 –9y – 9y + 81=0

y (y-9) – 9 (y-9)=0

(y-9) (y-9)=0 y=9, 9

So, x<y.

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Q:

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

A) 100 B) 120
C) 90 D) 150
 
Answer & Explanation Answer: B) 120

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Q:

Pankaj has done 1/2 of a job in 12 days, Sainath completes the rest of the job in 6 days. In how many days can they together do the job?

A) 4 days B) 12 days
C) 8 days D) 16 days
 
Answer & Explanation Answer: C) 8 days

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