Quantitative Aptitude - Arithmetic Ability Questions

Q:

A user type a content on 20 sheets, each sheet consist of 55 lines, and each line can have 66 characters. The content is again retyped on another set of sheets, these new sheets have 65 lines and each line can take 70 characters. Calculate the reduction in sheets ?

A) 2 or 60% B) 4 or 20%
C) 6 or 10% D) 8 or 5%
 
Answer & Explanation Answer: B) 4 or 20%

Explanation:

20 x 55 x 66 = L x 65 x 70
Here L = 72,600/4550 = 15.95 =~ 16
Reduction is 20-16 = 4

which is 20% reduction.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

Two partners invest Rs 12500 and Rs 8500 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets Rs 240 more than the other, find the total profit made in the business.

A) 3250 B) 4050
C) 3550 D) 3150
 
Answer & Explanation Answer: D) 3150

Explanation:

Clearly, If 60 % is equally divided then remaining 40% of total profit will be divided between 2 persons A and B in ratio of (profit of A) : (profit of B)= 12,500 : 8500 = 125 : 85 = 25:17
now difference in amount = 25-17 = 8 this difference = 240
therefore 40% of total profit = 240*(25+17)/(25-17) = 1260
∴ 100% profit = 1260 / 40 × 100 = 3150

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Filed Under: Partnership
Exam Prep: Bank Exams

2 5333
Q:

What is value of P+QP-Q  if PQ=7 ?

A) 1/3 B) 2/3
C) 4/3 D) 5/3
 
Answer & Explanation Answer: C) 4/3

Explanation:

hence P=7Q

P+QP-Q=7Q+Q7Q-Q=8Q6Q=43

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Filed Under: Simplification

1 5332
Q:

K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ?

A) 30 days B) 40 days
C) 120 days D) 80 days
 
Answer & Explanation Answer: A) 30 days

Explanation:

Given K=4L 

-->K+L = 4L+L = 5L

 

These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days.

 

Hence, K alone can do the work in 120/4= 30 days.

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

4 5323
Q:

A $1000 face value Series S50 compound interest Canada Savings Bond (CSB) was presented to a credit union branch for redemption.What amount did the owner receive if the redemption was requested on:January 17, 2001?

A) 1206 B) 1306
C) 1406 D) 1506
 
Answer & Explanation Answer: B) 1306

Explanation:

I  = ptr

Therefore, the total amount the owner received on January 17, 2001 was

$1295.57 + $10.47 = $1306.04

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

3 5319
Q:

The greatest possible value of n could be 9n < 108 if, given that log 3 = 0.4771 and nN:

A) 7 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: B) 8

Explanation:

 

Taking Log to both sides 

 we get

 n = 8           

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

Pavan and Sravan are two persons. If Pavan works with his actual efficiency and Sravan twice of his actual efficiency then it takes 25 days to complete the work. But If Pavan works twice of his actual efficiency and Sravan with his normal efficiency then the work is completed in 20 days. How many days would it take if Sravan alone works with his actual efficiency (in Days)?

A) 50 B) 100
C) 70 D) 35
 
Answer & Explanation Answer: B) 100

Explanation:

Let the Efficiency of pavan be E(P)

Let the Efficiency of sravan be E(S)

Here Work W = LCM(25,20) = 100

Now, E(P+2S) = 100/25 = 4 ....(1)

E(2P+S) = 100/20 = 5 ....(2)

Hence, from (1) & (2) we get

E(S) = 1

=> Number of days Savan alone work to complete the work  = 100/1 = 100 days.

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

10 5300
Q:

The Simple Interest & True Discount on a certain sum of money for a given time & at a given rate are Rs 85 & Rs.80.The sum is:

A) Rs.1350 B) Rs.1360
C) Rs.1316 D) Rs.1200
 
Answer & Explanation Answer: B) Rs.1360

Explanation:

Sum = [(S.I x T.D)/(S.I-T.D)] = (85 x 80)/(85-80) = Rs.1360

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Filed Under: True Discount

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