Quantitative Aptitude - Arithmetic Ability Questions

Q:

A woman suffered 20% loss on first investment and made 10% profit at second investment and 12 ½% profit on the third investment. If the invested amount be in the ratio of 4 : 5 : 3, find her profit percentage?

A) 0.625% B) 1.205%
C) 0.987% D) 0%
 
Answer & Explanation Answer: A) 0.625%

Explanation:

From the given data,

let the amounts invested be 4p, 5p and 3p

Net profit = Total profit - Total loss

= 10x5p/100 + 25x3p/200 - 20x4p/100

= 0.875p - 0.8p

= 0.075p

Therefore, profit% = (Net profit/Total investment) x 100

= 0.075 x 100/12 

= 0.0625%

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Filed Under: Percentage
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Q:

If an article is sold at a gain of 6% instead of a loss of 6% the seller gets Rs. 6 more. What is the cost price of the article?

A) Rs. 18 B) Rs. 36
C) Rs. 42 D) Rs. 50
 
Answer & Explanation Answer: D) Rs. 50

Explanation:
Let CP be Rs x
Then
1.06x–0.94x = 6
So x = Rs 50
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

A) 40 B) 120
C) 50 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Let breadth = x metres.

Then, length = (x + 20) metres.

Perimeter = 5300 m = 200 m. 26.50

2[(x + 20) + x] = 200

2x + 20 = 100

2x = 80

x = 40.

Hence, length = x + 20 = 60 m.

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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
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Q:

Rs 6300 is divided among A, B and C in the ratio of 1/2 : 1 : 3/5. What is the share (in Rs) of B?

A) 3300 B) 2700
C) 3000 D) 4200
 
Answer & Explanation Answer: C) 3000

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

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Q:

15 semiannual payments are made into a sinking fund at 7% compounded semiannually so that $4850 will be present. Find the amount of each payment rounded to the nearest cent

A) 251.35 B) 245.45
C) 235.87 D) 251
 
Answer & Explanation Answer: A) 251.35

Explanation:

R=S[i/(1+i)^n-1]

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Filed Under: Compound Interest
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Q:

12 men complete a work in 14 days. 5 days after they had started working, 3 men join them. How many more days will all of them take to complete the remaining work?

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

Explanation:

Let p be the required number of days.

From the given data,

12 x 14 = 12 x 5 + (12+3) x p 

12 x 14 = 12[5 + 3p]

14 = 5 + 3p

3p = 9

p = 3 days.

 

Hence, more 3 days all of them take to complete the remaining work.

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Filed Under: Time and Work
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Q:

A boat goes 4 km upstream and 4 km downstream in 1 hour. The same boat goes 5 km downstream and 3 km upstream in 55 minutes. What is the speed (in km/hr) of oat in still water?

A) 6.5 B) 7.75
C) 9 D) 10.5
 
Answer & Explanation Answer: C) 9

Explanation:
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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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