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Quiz Begins Here

Q #1
:

IBPS Quants Question

Give the greatest pair of twin primes which are below 100?
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in the given options only 71 and 73 are primes.

Q #2
:

IBPS Quants Question

A book store offers a 10% discount on all books sold plus an additional discount of 5% on the total bill, if the total bill after discount is more than or equal to Rs. 1000. Dilshan bought 3 books worth Rs. 450, Rs. 520 and Rs. 250 respectively. How much money was Dilshan able to save as a result of the various discounts offered by the store?
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The 10% discount is offered on all the items. Let us first calculate the selling price of each.

Cost Price

Discount

Selling price

450

45

405

520

52

468

250

25

225

Total

122

1098

The total selling price is Rs. 1098 which is greater than Rs. 1000, so Dilshan will get an additional discount of 5%.

5% of 1098 = Rs. 54.90

Total Discount = 122 + 54.90 = Rs. 176.90


Q #3
:

IBPS Quants Question

A train Rajdhani starts from Suratkal at 5 a.m. with the speed of 15 kmph. Another train Shatabadi starts from the same place in the same direction at 7 a.m. with a speed of 20 kmph. At what time will both the trains meet each other?
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(7:00 am Rajdhani) Meeting point

30 km x km

Suratkal

Rajdhani (5:00 am at 15 kmph)

Shatabadi (7:00 am at 20 kmph)

Rajdhani train starts at 5:00 am and Shatabadi train starts at 7:00 am. So by the time Shatabadi starts, Rajdhani has already covered 2 hours worth distance.

Rajdhani train is travelling at the speed of 15 kmph so in 2 hours it has covered 30 km.

Let us assume the trains meet at the distance x km from the point where Rajdhani has reached at 7:00 am. Also the time taken to reach the meeting point by both trains should be same.

Let us calculate the time taken by both trains.

Rajdhani has covered distance x km at the speed of 15 kmph.

Time taken = DistanceSpeed = x15 …..(1)

Shatabadi has covered distance (x+30) km at the speed of 20 kmph.

Time taken = DistanceSpeed = x+3020 …..(2)

Time taken should be same in both the cases. Therefore,

x15 = x+3020 ; which gives x = 90 km.

Shatabadi has covered the total distance of (x+30) 120 km at the speed 20 kmph. Time taken is (12020) 6 hours. It starts at 7:00 am and after 6 hours the time will be 1:00 pm.

Alternatively,

Rajdhani has covered 30 km distance in the time between 5:00 am and 7:00 am. Both the trains are travelling in the same direction so the relative speed for both the trains will be (20 -15) 5 kmph. The difference between the distances that Rajdhani train has covered in two hours is the distance to be covered in order to meet.

Time taken = Difference in distancerelative speed = 305 = 6 hours.

Shatabadi starts at 7:00 am and after 6 hours the time will be 1:00 pm.

Note: We are taking 7:00 am as the starting time and not 5:00 am because at 5:00 am only one train is moving. The trains will meet only after the second train starts moving.


Q #4
:

IBPS Quants Question

When the price of a pair of shoes is decreased by 10%, the number of pairs sold increased by 20%. What is the net effect on scales?
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let cp be 100, when price decreased by 10% then sp=90. Now sales increased by 20%, ie, 90+20%of90=108. so cp=100, sp=108, gain=8, gain%=gain*100/cp=8%increase

Q #5
:

IBPS Quants Question

A number456*85 is completely divisible by 3 Smallest whole digit number in place of * can be
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Sum of digits must be divisible by 3, so Sum = 28+* so least number in place of * can be 2