Quantitative Aptitude - Arithmetic Ability Questions

Q:

In what time would a cistern be filled by three pipes which diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 minutes? The amount of water flowing in each pipe is proportional to the square of its diameter.

A) 26 min B) 32 min
C) 36 min D) 42 min
 
Answer & Explanation Answer: B) 32 min

Explanation:

Given that the diameters of the three pipes are 2 cm, 3 cm and 4 cm

From the given data,

Amount of water from three pipes is 4 units, 9 units and 16 units.

Let the capacity of cistern be 'p' units.

∴ p/58 = 16

⇒ p = 928 units.

 

In 1 minute, quantity to be filled by 3 pipes = 29 units

∴ Total time required = 928/29 = 32 minutes.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

11 11019
Q:

A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after ?

A) 19 months B) 21 months
C) 18 months D) 20 months
 
Answer & Explanation Answer: B) 21 months

Explanation:

Total savings = 200 + 200 + 200 + 240 + 280 + ... to n months = 11040

= 120 + 80 + 160 + 40 + 200 + 240 + ....n terms
= 40 + 80 + 120 + 160 + 200 + 240 + ...n terms
= n/2[2a + (n-1)d] + 80 + 40 = 11040
= n/2[240 + (n-1)40] = 10920
= n[6+n-1] = 546
= n[n+5] = 546
n = 21

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

10 11018
Q:

Solve 30 + (.0825 x 30) + (15% x 30)

A) 24.750 B) 36.975
C) 34.652 D) 26.354
 
Answer & Explanation Answer: B) 36.975

Explanation:

30 + (.0825 x 30) + (15% x 30)

 

Now

=> 0.0825 x 30 = 2.475 -----(1)

=> 15% of 30 = 450/100 = 4.5 -----(2) 

 

Hence, from (1) & (2)

30 + (.0825 x 30) + (15% x 30)

= 30 + 2.475 + 4.5

30 + (.0825 x 30) + (15% x 30) = 36.975.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

19 11017
Q:

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price?

A) Rs. 380 B) Rs. 420
C) Rs. 460 D) Rs. 440
 
Answer & Explanation Answer: B) Rs. 420

Explanation:

As given in the question, Marked price is 25% more than the Cost price.

=> C.P of the article = 34 x 400 = 300 

Now, 

Let the original S.P of the article be Rs. P

Now the new S.P = P + 16.666 +13.333300 x P 

=> S.P = 7P6

According to the question,

7P6 - 300 = 2P - 300

=> 5P = 1800

=> P = Rs. 360

Hence, the increased S.P = 360 x 7/6 = Rs. 420. 

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

11 11016
Q:

The circumference of a circle, whose area is 24.64 sq.m

A) 14.64 B) 16.36
C) 17.60 D) 18.40
 
Answer & Explanation Answer: C) 17.60

Explanation:

πr2 =26.64

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

11 11012
Q:

What was the day on 16th June,1993?

A) Saturday B) Monday
C) Wednesday D) Friday
 
Answer & Explanation Answer: C) Wednesday

Explanation:

16 June, 1993 = (1992 years + Period from 1.1.1993 to 16.6.1993)

Odd days in 1600 years = 0

Odd days in 300 years = 1

92 years = (69 ordinary years + 23 leap year) = (69 x 1 + 23 x 2)= 3 odd days

Jan. Feb. March April May June

(31 + 28 + 31 + 30 + 31 + 16 ) = 167 days

167 days = (23 weeks + 6 days) =6 odd days.

Total number of odd days = (0 + 1 + 3 + 6) = 3 odd days.

Given day is Wednesday.

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Filed Under: Calendar

18 11010
Q:

What will be the day of the week 15th August, 2010?

A) Sunday B) Monday
C) Tuesday D) Friday
 
Answer & Explanation Answer: A) Sunday

Explanation:

ke

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Filed Under: Calendar

18 11008
Q:

Find the LCM of the following fractions:

 

2/3,  8/9,  16/27,  32/81

 

A) 32/81 B) 81/32
C) 32/3 D) 11/41
 
Answer & Explanation Answer: C) 32/3

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams

4 10993