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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 1874
Q:

U and V started a business by investing amounts Rs 184000 and Rs 224000 respectively. If U’s share in the profit received at the end of year is Rs 20700, then what will be the total profit (in Rs) earned by them together?

A) 43200 B) 45900
C) 52300 D) 56400
 
Answer & Explanation Answer: B) 45900

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

0 1874
Q:

D, E, F are the mid - points of the sides BC , CA and AB respectively of a ΔABC . Then the ratio of the areas of ΔDEF and ΔABC is

A) 1/2 B) 1/4
C) 1/8 D) 1/16
 
Answer & Explanation Answer: B) 1/4

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

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Q:

A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?

A) (18/13, 12/13) B) (18/13, -12/13)
C) (-18/13, -12/13) D) (-18/13, 12/13)
 
Answer & Explanation Answer: B) (18/13, -12/13)

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 1873
Q:

2cos[(C+D)/2]sin[(C-D)/2] is equal to

A) sinC + sinD B) sinC - sinD
C) cosC - cosD D) cosC + cosD
 
Answer & Explanation Answer: B) sinC - sinD

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

1 1873
Q:

If a - b = 2 and ab = 15, then what is the value of a3- b3?

A) 152 B) 112
C) 108 D) 98
 
Answer & Explanation Answer: D) 98

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

 

A) 18 B) 9
C) 20 D) 12
 
Answer & Explanation Answer: C) 20

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?

A) 8 B) 12
C) 6 D) 15
 
Answer & Explanation Answer: B) 12

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Filed Under: Simplification
Exam Prep: Bank Exams

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