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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A and B invest in a business in the ratio 4 : 5. After 10 months B leaves the business after withdrawing his investment. In the first year the business made a profit of Rs 49,000. What is B's share (in Rs) of this profit?

A) 25000 B) 20000
C) 18000 D) 22000
 
Answer & Explanation Answer: A) 25000

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

3 3415
Q:

A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?

A) 8 sec B) 8.5 sec
C) 9 sec D) 9.5 sec
 
Answer & Explanation Answer: C) 9 sec

Explanation:

Relative speed = 68-8 = 60 km/hr = 60 X 5 / 18 m/s = 50/3 m/s

Total distance = 150 m

Time taken to pass a man running in same direction = 150 X 3/50 = 9 seconds

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

2 3414
Q:

Assume that money can be invested at 8% compounded quarterly,which is larger,$2500 now or $3800 in 5 years?

A) 1557.29 B) 2557.29
C) 2567 D) 2457
 
Answer & Explanation Answer: B) 2557.29

Explanation:

First find the present value of $3800,then compare present values:

 

M  = p(1+i/4)^4n

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

2 3412
Q:

Find the odd word/letters/number pair from the given alternatives.

A) Cow B) Buffalo
C) Horse D) Goat
 
Answer & Explanation Answer: C) Horse

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

3 3411
Q:

A man sell 35 waffers for Rs. 15 each and loses Rs. 40.4. If he sells 35 waffers for Rs. 18, how much does he loss or gain ?

A) Rs. 64 B) Rs. 52
C) Rs. 72 D) Rs. 55
 
Answer & Explanation Answer: A) Rs. 64

Explanation:

Given Loss = Rs. 40.4
We know loss = cost price - selling price
40.4 = CP - 35(15)
=> CP = 40.4 + 525
=> CP = Rs. 565.4
Now the New selling price of waffer is Rs. 18
=> SP = 35(18) = 630
Now Gain = SP - CP = 630 -565.4 = Rs. 64.6.

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

5 3409
Q:

A five digit number is formed with the digits 0,1,2,3 and 4 without repetition. Find the chance that the number is divisible by 5.

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

Explanation:
5 digit number = 5! = 120
Divisible by 5 then the last digit should be 0
Then the remaining position have the possibility = 4!
= 24
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Filed Under: Probability

25 3408
Q:

The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is :

A) Rs. 3680 B) Rs. 2650
C) Rs. 1400 D) Rs. 1170
 
Answer & Explanation Answer: C) Rs. 1400

Explanation:

We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by C.In - S.In = PR100n

Here n = 2 years, R = 20%, C.I - S.I = 56

56 = P201002=> P = 56 x 52=> P = 56 x 25=> P = Rs. 1400

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO

28 3408
Q:

If (4a +7b) (4c-7d) = (4a -7b) (4c +7d, then which one of the following is correct ?

A) a/b = c/d B) a/d = c/b
C) a/b = d/c D) none
 
Answer & Explanation Answer: A) a/b = c/d

Explanation:

(4a+7b)(4c-7d) = (4a-7b)(4c+7d)

(4a+7b)/(4a-7b) = (4c+7d)/(4c-7d)

Using componendo and dividendo

(4a+7b)+(4a-7b) / (4a+7b)-(4a-7b)

= (4c+7d)+(4c-7d) / (4c+7d)-(4c-7d)

Or 8a/14b = 8c/14d

Or a/b = c/d

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Filed Under: Simplification
Exam Prep: Bank Exams

3 3406