Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find: S.l. on Rs 3000 at 18% per annum for the period from 4th

A) 118 B) 105
C) 108 D) 110
 
Answer & Explanation Answer: C) 108

Explanation:

(24 + 31 + 18) days = 73 days = 1/5 year .

 

P = Rs 3000 and R = 18 % p.a.

 S.I=3000*18*15100

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

22 10101
Q:

A man buys Rs. 25 shares in company which pays 9 % dividend. The money invested is such that it gives 10 % on investment. At what price did he buy the shares?

A) 22.50 B) 22
C) 20.45 D) 12.50
 
Answer & Explanation Answer: A) 22.50

Explanation:

Suppose he buys each share for Rs. x.

 

Then, Rs.25*9100=x*1010 or x = Rs. 22.50.

 

Cost of each share = Rs. 22.50.

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Filed Under: Stocks and Shares

5 10081
Q:

A trader sold an article at profit of 20%. Had he bought that article at 60% less price and sold it at Rs 90 less, then he would have gained 50%. What is the value (in Rs) of cost price?

A) 150 B) 200
C) 250 D) 300
 
Answer & Explanation Answer: A) 150

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

4 10070
Q:

Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ?

A) Rs.1000 B) Rs. 1020
C) Rs.1210 D) Rs.1140
 
Answer & Explanation Answer: A) Rs.1000

Explanation:

Cost price of the article is given by

= 400x100/(20+20)

= Rs.1000

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

21 10069
Q:

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is :

A) 130 B) 360
C) 500 D) 540
 
Answer & Explanation Answer: C) 500

Explanation:

Speed =[ 78 x ( 5/18 ) ] m/sec = 65/3 m/sec.

 

Time = 1 minute = 60 sec.

 

Let the length of the tunnel be x metres.

 

Then, [ (800 + x )/ 60 ]= 65/3

 

3(800 + x) = 3900

 

 x = 500.

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Filed Under: Problems on Trains

12 10047
Q:

The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8,748, its purchase price was ?

A) Rs.14,000 B) Rs.12,000
C) Rs. 12,800 D) Rs. 15,000
 
Answer & Explanation Answer: B) Rs.12,000

Explanation:

We have P = 8748, R = -10 and n = 3
Therefore, the purchase price of the machine
= P1+R100n= 87481-101003
= 8748 x (100/90) x (100/90) x (100/90)
= 12,000.

 

Therefore, the purchase price of the machine was Rs. 12,000.

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

7 10040
Q:

K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ?

A) 120 days B) 119 days
C) 118 days D) 117 days
 
Answer & Explanation Answer: D) 117 days

Explanation:

K's work in a day(1st day) = 1/30
L's work in a day(2nd day)= -1/60(demolishing)
hence in 2 days, combined work= 1/30 - 1/60 =1/60
since both works alternatively, K will work in odd days and L will work in even days.
1/60 unit work is done in 2 days
58/60 unit work will be done in 2 x 58 days = 116 days
Remaining work = 1-58/60 = 1/30
Next day, it will be K's turn and K will finish the remaining 1/30 work.
hence total days = 116 + 1 = 117.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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13 10039
Q:

88 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be ?

A) 112 mts B) 84 mts
C) 96 mts D) 108 mts
 
Answer & Explanation Answer: B) 84 mts

Explanation:

Vol of silver = πR2h  = 66 C.C  

Given D= 1mm => R = D/2 = 1/20 cm  

 

=> 227×1202×h = 66

= 66 x 400 x (7/22) = 8400 cm = 84 mtrs.

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Filed Under: Volume and Surface Area
Exam Prep: CAT , Bank Exams , AIEEE
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11 10039