Quantitative Aptitude - Arithmetic Ability Questions

Q:

A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ?

A) 1/3 kmph B) 2/3 kmph
C) 1/4 kmph D) 1/2 kmph
 
Answer & Explanation Answer: D) 1/2 kmph

Explanation:

Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr.

Speed in downstream = 3 x 60/18 = 10 km/hr

Rate of current = (10-9)/2 = 1/2 km/hr.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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32 19605
Q:

A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out this cloth ?

A) 300 B) 360
C) 400 D) 450
 
Answer & Explanation Answer: A) 300

Explanation:

Length of  each piece = (1/8) m = 0.125 m

Required no of pieces = (37.5/0.125) = (375 * 100) / 125 = 300.

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Filed Under: Decimal Fractions

36 19598
Q:

If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?

A) 3 days B) 6 days
C) 4 days D) 2 days
 
Answer & Explanation Answer: C) 4 days

Explanation:

From the given data,

=> (2 M + 3W) 8 = (3M + 2W)7

=> 16M + 24W = 21M + 14 W

=> 10W = 5M

=> 2W = M

=> 14W × ? = 7W × 8

? = 4 days

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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30 19544
Q:

In measuring the sides of a rectangle, one side is taken 5% in excess and the other 4% in deficit. Find the error percent in the area, calculate from the those measurements.

A) .7% B) 0.8%
C) 0.9% D) 0.3%
 
Answer & Explanation Answer: B) 0.8%

Explanation:

let x and y be the sides of the rectangle then 

correct area =105100x×96100y 

 

Error% = 504500xy-xy=4500xy %

 

4500xy×1xy×100=45=0.8

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

11 19540
Q:

If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is

A) 18.20 B) 18.33
C) 18 D) 18.30
 
Answer & Explanation Answer: B) 18.33

Explanation:

Present worth  = Amount - True Discount = 110 -10 = Rs.100 

SI on Rs.100 for a certain time = Rs.10

SI on Rs.100 for doube the time = Rs.20 

True Discount on Rs.120 = 120 - 100 = Rs.20 

True Discount on Rs.110 = 110×20120 = Rs.18.33

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Filed Under: True Discount

6 19516
Q:

Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ?

a. Total amount invested in the business in Rs. 22,000.

b. Profit earned at the end of 3 years is 3/8 of the total investment.

c. The average amount of profit earned per year is Rs. 2750.

A) Only c is sufficient B) Both a & b are sufficient
C) Both A & B gives result D) None
 
Answer & Explanation Answer: C) Both A & B gives result

Explanation:

a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250.

From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250.

∴ P's share = Rs.(8250 x 5/11) = Rs. 3750.

Thus, (either C is redundant) or (a and b are redundant).

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 19507
Q:

3 x 0.3 x 0.03 x 0.003 x 30 =?

A) 0.0000243 B) 0.000243
C) 0.00243 D) 0.0243
 
Answer & Explanation Answer: C) 0.00243

Explanation:

3 x 3 x 3 x 3 x 30 = 2430. Sum of decimal places = 6

Therefore, 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 = 0.00243

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Filed Under: Decimal Fractions

72 19497
Q:

If 4/7 of P is equal to 12/14 of Q, then what is P : Q?

 

A) 15 : 8   B) 14 : 9  
C) 7 : 8   D) 3 : 2
 
Answer & Explanation Answer: D) 3 : 2

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

2 19495