Quantitative Aptitude - Arithmetic Ability Questions

Q:

The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height

A) 3 : 7 B) 7 : 3
C) 6 : 7 D) 7 : 6
 
Answer & Explanation Answer: B) 7 : 3

Explanation:

πr2h2πr2h = 924264  

=> r = (24/364) x 2 = 7m 

2πrh = 264   h = (264 × 722×12 ×17) = 6m   

Required Rato =2r/h  =14/6 = 7:3

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21 15833
Q:

If two complimentary angles are in the ratio of 4 : 5, find the greater angle.

 

A) 40 deg B) 50 deg
C) 60 deg D) 30 deg
 
Answer & Explanation Answer: B) 50 deg

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

1 15829
Q:

In how many ways can the letters of the word "PROBLEM" be rearranged to make 7 letter words such that none of the letters repeat?

A) 49 B) 7!
C) 7^7 D) 7^3
 
Answer & Explanation Answer: B) 7!

Explanation:

There are seven positions to be filled.

 

The first position can be filled using any of the 7 letters contained in PROBLEM.

 

The second position can be filled by the remaining 6 letters as the letters should not repeat.

 

The third position can be filled by the remaining 5 letters only and so on.

 

Therefore, the total number of ways of rearranging the 7 letter word = 7*6*5*4*3*2*1 = 7! ways.

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2 15826
Q:

The area of a square field is 69696sq.cm..its diagonal will be equal to

A) 373 B) 573
C) 473 D) 673
 
Answer & Explanation Answer: A) 373

Explanation:

d=2*s=>d=2*69696

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

9 15822
Q:

If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ?

A) Rs. 20 B) Rs. 24
C) Rs. 26 D) Rs. 29
 
Answer & Explanation Answer: A) Rs. 20

Explanation:

Let the original price of rice be Rs. x

Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs

From given data, for Rs. 500

x ---- R kgs

(x + 25x/100) ---- (R - 5) kgs

=> Rx = (R - 5)(x + 25x/100)

=> Rx = (R - 5)(125x/100)

=> 100Rx = 125Rx - 625x

=> R = 25

So at rate of Rs. x/kg, man get 25 kgs for Rs. 500

=> x = 500/25 = Rs. 20

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

21 15794
Q:

6 men can complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days whereas 18 children can complete the piece of work in 10 days. 4 men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day how many men would be required totally?

A) 38 B) 72
C) 36 D) 76
 
Answer & Explanation Answer: C) 36

Explanation:

Given 4men, 12 women and 20 children work for  2 days.

Workdone for 2 days by 4men, 12 women and 20 children = 4 x 26 x 12 + 12 x 28 x 18 + 20 x 218 x 10 = 12

Therefore, remaining work = 1 - 12 = 12

To complete the same work by only men in 1 day,

We know that M1 x D1 = M2 x D2

Here M1 = 6 , D1 = 12 and M2 = M , D2 = 1

12 x 6 = M x 1

=> M = 12 x 6 = 72

=> But the remaining work = 1/2

Men required => 1/2 x 72 = 36

Only men required to Complete the remaining work in 1 day = 36.

 

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

20 15766
Q:

The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the maximum distance from A to C? 

A) 11 B) 8
C) 2 D) 4
 
Answer & Explanation Answer: A) 11

Explanation:

Do not assume that AB and C are on a straight line. Make a diagram with A and B marked 5 miles apart. Draw a circle centered on B, with radius 6. C could be anywhere on this circle. The minimum distance will be 1, and maximum 11

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Filed Under: Time and Distance
Exam Prep: GRE

20 15757
Q:

The bankers gain of a certain sum due 2 years hence at 10% per annum is Rs 24 .The percent worth is

A) 400 B) 800
C) 500 D) 600
 
Answer & Explanation Answer: D) 600

Explanation:

T.D = (B.G * 100) / (Rate * Time)

(24*100) / (10 * 2)

= 120.

 

P.W = (100 *T.D) / (Rate * Time)

= (100 * 120) /(10 * 2)

= 600

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Filed Under: Banker's Discount

17 15754