Quantitative Aptitude - Arithmetic Ability Questions

Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h D) 5 km/h and 2 km/h
 
Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

7 1590
Q:

If Gaganjyot's salary is 7/6 times of Hafiz's and Sayed's is 8/7 times of Hafiz's, what is the ratio of Gaganjyot's salary to Sayed's.

A) 49:48 B) 3:4
C) 4:3 D) 48:49
 
Answer & Explanation Answer: A) 49:48

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

2 1590
Q:

If a3 + b3 = 28 and a + b = 4, then what is the value of ab?

A) -3 B) 2
C) 8 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In a marriage party 32% are women, 54% are men and there are 196 children. How many men are there in the marriage party?

A) 756 B) 448
C) 332 D) 324
 
Answer & Explanation Answer: A) 756

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Filed Under: Average
Exam Prep: Bank Exams

1 1590
Q:

Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?

A) 1260 B) 700
C) 900 D) 870
 
Answer & Explanation Answer: A) 1260

Explanation:
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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

4 1589
Q:

A and B can complete a task in 12 days. However, A had to leave a few days before the task was completed and hence it took 16 days in all to complete the task. If A alone could complete the work in 21 days, how many days before the work getting over did A leave?

A) 7 B) 5
C) 9 D) 3
 
Answer & Explanation Answer: A) 7

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A, B and C invest in a business in the ratio 4 : 5 : 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?

A) 7560 B) 10800
C) 8640 D) 9200
 
Answer & Explanation Answer: B) 10800

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Filed Under: Partnership
Exam Prep: Bank Exams

3 1589
Q:

A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in cm2) of each part?

A) 96 + 64√2 B) 80 + 64√2
C) 96 + 48√2 D) 80 + 48√2
 
Answer & Explanation Answer: A) 96 + 64√2

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

2 1589