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 Quantitative Aptitude - Arithmetic Ability Questions

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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

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Q:

The difference between the selling prices of an article sold at 4% and 3% profits is Rs.3 The cost price of the article is :

A) Rs. 400 B) Rs. 350
C) Rs. 300 D) Rs. 100
 
Answer & Explanation Answer: C) Rs. 300

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

3 1582
Q:

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?

A) 10 5/24 days B) 4 4/5 days
C) 6 8/15 days D) 12 6/19 days
 
Answer & Explanation Answer: A) 10 5/24 days

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If 3/4 of the weight of a brick is 7/8 kg, then 5/7 of the weight of the brick will be

A) 20/21 kg B) 5/6 kg
C) 5/8 kg D) 15/32 kg
 
Answer & Explanation Answer: B) 5/6 kg

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

3 1581
Q:

A car travels 80 km in 2 hours and a train travels 180 km in 3 hours . The ratio ofspeed of the car to the train is

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

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

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Q:

Ram lent Rs. 6,000/- to Shiva for 3 years and Rs. 8,000/- to Krishna for 5 years at the same rate of simple interest per annum. He got a total interest of Rs. 5,220 from both. Find the rate of interest per annum.

A) 6% B) 7%
C) 8% D) 9%
 
Answer & Explanation Answer: D) 9%

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

In ∆ABC, ∠B=35°, ∠C=65° and the bisector of ∠BAC meets BC in D. Then ADB is

A) 40° B) 75°
C) 90° D) 105°
 
Answer & Explanation Answer: D) 105°

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1579
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

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Filed Under: Simplification
Exam Prep: Bank Exams

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