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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

7 1860
Q:

If A is equal to 20% of B and B is equal to 25% of C; then what percent of C is equal to A?

A) 10 B) 15
C) 5 D) 20
 
Answer & Explanation Answer: C) 5

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If the shopkeeper sells an item at Rs 960 which is marked as Rs 1200, then what is the discount he is offering?

A) 25 percent B) 12 percent
C) 20 percent D) 28 percent
 
Answer & Explanation Answer: C) 20 percent

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Filed Under: Percentage
Exam Prep: Bank Exams

2 1859
Q:

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

A) 3√2 B) 3/√2
C) 1/√2 D) √2
 
Answer & Explanation Answer: D) √2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: A) 2

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 1859
Q:

The mean of marks secured by 50 students in division A of class X is 61, 25 students of division B is 57 and that of 50 students of division C is 55. What will be the mean of marks of the students of three divisions of Class X?

A) 57.1 B) 56.4
C) 59.2 D) 57.8
 
Answer & Explanation Answer: D) 57.8

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

The effective annual rate of interest corresponding to a nominal rate of 15% per annum payable half-yearly is

A) 15.56 percent B) 30 percent
C) 31.13 percent D) 15 percent
 
Answer & Explanation Answer: A) 15.56 percent

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Filed Under: Simple Interest
Exam Prep: Bank Exams

2 1858
Q:

A triangle has a perimeter of 200. If two of its sides are equal and the third side is 20 more than the equal sides, what is the length of the third side?

A) 60 B) 50
C) 80 D) 70
 
Answer & Explanation Answer: C) 80

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Filed Under: Area
Exam Prep: Bank Exams

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