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 1740
Q:

If 7A = 5B = 2C; find A : B : C.

A) 35:14:10 B) 14:10:35
C) 2:5:7 D) 10:14:35
 
Answer & Explanation Answer: D) 10:14:35

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

1 1739
Q:

Selling price of a table is Rs 2808. If profit percentage is 17%, then what is the cost price (in Rs) of table?

A) 2288 B) 2300
C) 2400 D) 3285
 
Answer & Explanation Answer: C) 2400

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

1 1739
Q:

The number whose square is equal to the difference of the squares of 37 and 23 is:-

A) 45.09 B) 28.98
C) 47.09 D) 28
 
Answer & Explanation Answer: B) 28.98

Explanation:

372  232 =840 Required number =840 = 28.98

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1739
Q:

A spaceship travels at 810 km/hr. How many metres does it travel in 1/5th of a second?

A) 60 B) 45
C) 75 D) 90
 
Answer & Explanation Answer: B) 45

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

2 1739
Q:

X, Y and Z can do a piece of work in 30, 40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?

A) 660/47 B) 640/47
C) 680/47 D) 665/47
 
Answer & Explanation Answer: A) 660/47

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

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Q:

The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:

A) 161 B) 162
C) 163 D) 164
 
Answer & Explanation Answer: B) 162

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

When Amar walk from P to Q and return from Q to P on cycle, it takes him 29 minutes. By walking both ways, it takes him 49 minutes. If he rides cycle both ways then what will be the total time (in minutes)?

A) 9 B) 11
C) 13 D) 15
 
Answer & Explanation Answer: A) 9

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

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