Quantitative Aptitude - Arithmetic Ability Questions

Q:

A and B have to type a book together containing 120 pages. A takes 9 hrs to type 36 pages and B takes 5 hrs to type 40 pages. A typed first 60 pages alone and the last 60 pages were typed by A and B together. How much time (in hours) will be taken to type the complete book?

A) 24 B) 20
C) 12 D) 15
 
Answer & Explanation Answer: B) 20

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Q:

A's income is Rs 140 more than B's income and C's income is Rs 80 more than D's. If the ratio of A's and C's income is 2:3 and the ratio of B's and D's income is 1:2, then the incomes of A, B, C and D are respectively

A) Rs 260, Rs 120, Rs 320 and Rs 240 B) Rs 300, Rs 160, Rs 600 and Rs 520
C) Rs 400, Rs 260, Rs 600 and Rs 520 D) Rs 320, Rs 180, Rs 480 and Rs 360
 
Answer & Explanation Answer: C) Rs 400, Rs 260, Rs 600 and Rs 520

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Q:

The sum of twice a number and thrice its reciprocal is 25/2. What is the number?

A) 7 B) 6
C) 5 D) 4
 
Answer & Explanation Answer: B) 6

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Q:

If A's salary is 40% less than that of B, then how much percent is B's salary more than that of A?

A) 33 1⁄3 B) 66 2⁄3
C) 33 2⁄3 D) 66 1⁄3
 
Answer & Explanation Answer: B) 66 2⁄3

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Q:

For what value of k, the expression x6 18x3 + k will be a perfect square?

A) -9 B) 81
C) 9 D) -81
 
Answer & Explanation Answer: B) 81

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Q:

What is the value of cos [(180 – θ)/2] cos [(180 – 9θ)/2] + sin [(180 – 3θ)/2] sin [(180 – 13θ)/2]?

A) sin 2θ sin 4θ B) cos 2θ cos 6θ
C) sin 2θ sin 6θ D) cos 2θ cos 4θ
 
Answer & Explanation Answer: B) cos 2θ cos 6θ

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Q:

If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days then in how many days can C alone do the job?

A) 36 B) 6
C) 18 D) 12
 
Answer & Explanation Answer: C) 18

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Q:

A can do 75% of a job in 18 days and B can do 25% of the job in 12 days. If they work on it together, in how many days can they do 75% of the job?

A) 16 B) 8
C) 20 D) 12
 
Answer & Explanation Answer: D) 12

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