Quantitative Aptitude - Arithmetic Ability Questions

Q:

The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?

A) Sum = Rs.400 and Time = 5 years B) Sum = Rs.200 and Time = 2.5 years
C) Sum = Rs.400 and Time = 2.5 years D) Sum = Rs.200 and Time = 5 years
 
Answer & Explanation Answer: C) Sum = Rs.400 and Time = 2.5 years

Explanation:

BD = Rs.100

TD = Rs.80

R = 10%

 

F=BD×TDBD-TD=100×80100-80=Rs.400 

 

BD = Simple interest on the face value of the bill for unexpired time= FTR/100

 

100=400×T×10100

=> T = 2.5 years

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Filed Under: Banker's Discount

4 8049
Q:

In order to maximize his gain, a shopping mall owner decides to reduce the price of electronics goods by 20% and as a result of this, the sales of electronics increase by 40%. If, as a result of these changes, he is able to increase his weekly collection by Rs. 1,05,000, find by what value did the gross collection increase per day?

A) Rs. 14400 B) Rs. 14600
C) Rs. 14800 D) Rs. 15000
 
Answer & Explanation Answer: D) Rs. 15000

Explanation:

It won't requires that much solving.

Here given the increase in weekly collection by Rs. 1,05,000

That is this increase denotes for all 7 days.

=> Gross Collection increase per day = Rs. 1,05,0007 = Rs. 15,000

Hence, the gross collection increase per day = Rs. 15,000.

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

8 8049
Q:

The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ?

A) 51.8 % B) 49.25 %
C) 47.2 % D) 53.84 %
 
Answer & Explanation Answer: D) 53.84 %

Explanation:

100
65
-------
65 ------- 35
100 ------ ? => 53.84 %

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

6 8048
Q:

The area of a square is 49 mm. What is the length of each side?

A) 5mm B) 6mm
C) 7mm D) 8mm
 
Answer & Explanation Answer: C) 7mm

Explanation:

A=S2

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

1 8040
Q:

934+7217-9115=?

A) 7 + 719/1020 B) 9 + 817/1020
C) 9 + 719/1020 D) 7 + 817/1020
 
Answer & Explanation Answer: D) 7 + 817/1020

Explanation:

given sum =9+34+7+217-9+115

 

9+7+9+34+217-115

 

=> 7+765+120-681020=>7+8171020 

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Filed Under: Numbers

4 8031
Q:

A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ?

A) 28 kmph B) 24 kmph
C) 26 kmph D) 32 kmph
 
Answer & Explanation Answer: B) 24 kmph

Explanation:

Total time taken = k/40 + 2k/20 hours

= 5k/40 = k/8 hours

Average speed = 3k/(k/8) = 24 kmph.

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

6 8030
Q:

A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ?

A) 400 m B) 300 m
C) 500 m D) 600 m
 
Answer & Explanation Answer: A) 400 m

Explanation:

Speed = 78 x 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.

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

7 8025
Q:

The last day of a century cannot be

A) Monday B) Wednesday
C) Tuesday D) Friday
 
Answer & Explanation Answer: C) Tuesday

Explanation:

ke

 

A century means 100 years => 76 normal years and 24 leap years

We know that, a normal year contain 1 odd day (365/7 = 52 weeks + 1 odd day)

a leap year contain 2 odd days (365/7 = 52 weeks + 2 odd days)

100 years => 76 x 1 + 24 x 2 = 124 odd days = 124/7 = (17 weeks + 5 odd days)

200 years => 2 x 5 = 10 = 1 week + 3 odd days

300 years => 3 x 5 = 15 = 2 weeks + 1 odd day

400 years => 4 x 5 = 20 + 1 odd day (leap year) = 3 weeks + 0 odd days

500 years => 5 x 5 = 25+1 = 26/7 = 3 weeks + 5 odd days 

Again repeats...

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Filed Under: Calendar

6 8024