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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions  ?

A) 10 sec B) 11 sec
C) 12 sec D) 8 sec
 
Answer & Explanation Answer: A) 10 sec

Explanation:

Relative Speed = 60 -40 = 20 x 5/18 = 100/18

Time = 50

Distance = 50 x 100/18 = 2500/9

Relative Speed = 60 + 40 = 100 x 5/18

Time = 2500/9 x 18/500 = 10 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

13 16794
Q:

A 12% stock yielding 10% is quoted at:

A) 67 B) 110
C) 112 D) 120
 
Answer & Explanation Answer: D) 120

Explanation:

To earn Rs. 10, money invested = Rs. 100.

 

To earn Rs. 12, money invested =Rs.10010*12 = Rs. 120.

 

Market value of Rs. 100 stock = Rs. 120.

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Filed Under: Stocks and Shares

8 16779
Q:

A person goes to his office at 1/3rd of the speed at which he returns from his office. If the average speed during the whole trip is 12 m /h . what is the speed of the person while he was going to his office?

A) 10 B) 6
C) 8 D) can't be determined
 
Answer & Explanation Answer: C) 8

Explanation:

u = k , v= 3k 

 

∴2uvu+v ⇒2×k×3kk+3k=12  => k = 8km/h

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Filed Under: Time and Distance

12 16758
Q:

A coin is tossed 5 times. What is the probability that head appears an odd number of times?

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

Explanation:

The possible outcomes are as follows :

5H, 5T, (H, 4T), (T, 4H), (2H, 3T) (3H, 2T), i.e. 6 outcomes in all.

Therefore the probability that head appears an odd number of times = 3/6 =1/2 (In only three outcomes out of the six outcomes, head appears an odd number of times).

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Filed Under: Probability

27 16744
Q:

The perimeters of two squares are 40cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.

A) 12 B) 24
C) 36 D) 48
 
Answer & Explanation Answer: B) 24

Explanation:

side of first square = 40/4 =10cm

 

side of second square = 32/4 = 8cm

 

area of third squre = 10² - 8² = 36 sq cm

 

side of third square = 36 = 6 cm

 


required perimeter = 6*4 = 24cm

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

8 16742
Q:

If July 9th,2013 falls on Sunday then Jan 7th,2014 falls on which day?

A) Sunday B) Saturday
C) Monday D) Friday
 
Answer & Explanation Answer: A) Sunday

Explanation:

 

First,we count the number of odd days for the left over days in the given period.Here,given period is 09-07-2013 to 07-01-2014

Month Jul Aug Sep Oct Nov Dec Jan
Days 22 31 30 31 30 31 7
Odd Days 1 3 2 3 2 3 0

 Therefore, No. of Odd Days =  1 + 3 + 2 + 3 + 2 + 3 + 0 = 14 = 0 odd days

So, given day Sunday + 0 = Saturday is the required result.

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Filed Under: Calendar

86 16732
Q:

A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ?

A) 14.28 % profit B) 24.18 % profit
C) 14.28 % loss D) 24.18 % loss
 
Answer & Explanation Answer: A) 14.28 % profit

Explanation:

Let 1kg of Rs. 100 then 840gm is of Rs. 84.
Now (label on can 1kg but contains 840kg ) so for customer it is of Rs. 100 and further gives 4% discount [he sells his article on 4% loss on cost price.]
So now S.P = Rs. 96
But actually it contains 840 gm so C.P for shopkeeper = Rs. 84
S.P = Rs. 96
C.P = Rs. 84
Profit% = {(S.P-C.P)/C.P}x100
{(96-84)/84} x 100 = 14.28571429% PROFIT.

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

22 16705
Q:

A and B entered into a partnership investing Rs. 13,000 and Rs. 12,000 respectively.After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more, After 3 more months, C  joins the business with a capital of Rs. 21,000, The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by

A) 3500 B) 3600
C) 3700 D) 3800
 
Answer & Explanation Answer: B) 3600

Explanation:

A : B : C = (16000 * 3 + 11000 * 9) : (12000 * 3 + 17000 * 9) : (21000 * 6)

= 147 : 189 : 126

= 7 : 9 ; 6.

Difference of B and C's shares = Rs.  ( 26400 * 9/22 - 26400 * 6/22 ) = Rs. 3600.

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Filed Under: Partnership

13 16678