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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A sequence a, ax, ax2, ......, axn, has odd number of terms. Then the median is

 

A) axn2+1 B) axn2-1
C) axn-1 D) axn2
 
Answer & Explanation Answer: D) axn2

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

9 38893
Q:

A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 

A) 4% B) 5%
C) 6% D) 8%
 
Answer & Explanation Answer: A) 4%

Explanation:

SP of first article = Rs.1000

 

Profit = 20%

 CP = SP x 100100+P% = Rs. 25003

SP of Second Article = Rs.1000

 Loss = 20%

 CP = SP x 100100-L% = Rs. 1250

 

So, Total SP = Rs.2000; Total CP = Rs.6250/3

 

As the CP is more than SP, he makes a loss.

 

Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3)

 

So, Loss Percent = Lossx100/CP = 4%

 

 

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

79 38848
Q:

A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more  after 35 days and completes the work in stipulated time. If he had not  engaged  the additional men, how many days  behind schedule would it be finished?

A) 3 B) 5
C) 6 D) 9
 
Answer & Explanation Answer: B) 5

Explanation:

[(100 x 35) + (200 x 5)]men can finish the work in 1 day 

Therefore, 4500 men can finish the work in 1 day. 100 men can finish it in  4500/100= 45 days.

This is 5 days behind Schedule

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Filed Under: Chain Rule

64 38823
Q:

A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?

A) Rs. 240 B) Rs. 75
C) Rs. 125 D) Rs. 354
 
Answer & Explanation Answer: A) Rs. 240

Explanation:

The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)

=> 8:13

=> 8/21 x 630 = 240.

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

16 38557
Q:

Find the average of first 20 multiples of 9.

 

A) 94.8 B) 94.7
C) 94.6 D) 94.5
 
Answer & Explanation Answer: D) 94.5

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

1 38546
Q:

Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is

A) 42 B) 36
C) 28 D) 20
 
Answer & Explanation Answer: B) 36

Explanation:

Distance covered = 120+120 = 240 m

Time = 12 s

Let the speed of each train = v. Then relative speed = v + v = 2v

2v = distance/time = 240/12 = 20 m/s

Speed of each train = v = 20/2 = 10 m/s

= 10 × 36/10 km/hr = 36 km/hr

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Filed Under: Problems on Trains

78 38521
Q:

To fill a tank, 25 buckets of water is required.  How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?

A) 52.5 B) 62.5
C) 72.5 D) 82.5
 
Answer & Explanation Answer: B) 62.5

Explanation:

Let the capacity of 1 bucket = x.

 

 

 

Then, capacity of tank = 25x.

 

 

 

New capacity of bucket  = (2/5)x

 

 

 

Required no of buckets = 25x/(2x/5)  = 62.5

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Filed Under: Simplification

49 38469
Q:

A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?

A) Rs. 39000 B) Rs. 49000
C) Rs. 59000 D) Rs. 69000
 
Answer & Explanation Answer: C) Rs. 59000

Explanation:

Interest received by A from B = 10% of half of Rs.50000 = 10% of Rs. 25000 = Rs.2500.

Amount received by A per annum for being a working partner = 1500 x 12 = Rs.18000

Let 'P' be the part of the remaining profit that A receives as his share.

So,total income of A = (Rs.2500 + Rs.18000 + Rs. P )

Total income of B = only his share from the remaining profit = 'P', as  A and B share the remaining profit equally.

 

We know that income of A = Twice the income of B 

So, (2500 + 18000 + P ) = 2(P)

P = 20500

 

Thus, the total profit = 2P + Rs.18000

= 2(20500) + 18000 = Rs.59000.

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Filed Under: Partnership

40 38428