CAT | SSC Quants Questions

## SSC Quants Questions

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### Quiz Begins Here

Q #1
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#### SSC Quants Question

Let P be the greatest number that will divide 522, 762 and 1482, leaving the same remainder in each case. What is the sum of the digits in P?
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Numbers 522, 762 and 1482 leaves same remainder when divided by a common number.

Number = HCF of (1482-762), (762-522) and (1482 - 522)

= HCF of (720, 240 and 960) = 240

Sum of the digits = 2 + 4 + 0 = 6

Q #2
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#### SSC Quants Question

What is the largest power of 20 contained in 100!?
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20 = 5 x 4 = 5 x 22
Largest power of 2 in 100! = [1002] + [1004] + [1008] + [10016] + [10032] + [10064]
= 50 + 25 + 12 + 6 + 3 + 1 = 97
[] = only integer part is to be considered.
Highest power of 4 in 100! = 297 = (22)48*2 48 times
Highest power of 5 in 100! = [1005] + [10025] = 20 + 4 = 24 times
So, power of 20 in 100! = least of the powers = 24.

Q #3
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#### SSC Quants Question

What is the probability of getting an even sum of score in a throw of 2 dice?
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The total outcome when two dice are rolled is 36.

We need the outcomes with the even sum i.e. 2, 4, 6, 8, 10, 12.

Cases when sum is 2 = (1,1) i.e. 1

Cases when sum is 4 = (1,3), (2,2), (3,1) i.e. 3

Cases when sum is 6 = (1,5), (2, 4), (3, 3), (4, 2), (5, 1) i.e. 5

Cases when sum is 8 = (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) i.e. 5

Cases when sum is 10 = (4, 6), (5, 5), (6, 4) i.e. 3

Cases when sum is 12 = (6,6) i.e. 1

Favorable cases = 1 + 3 + 5 + 5 + 3 + 1 = 18

Probability = 1836 = 12

Q #4
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#### SSC Quants Question

(173*1752 *(173)32)*(17107∗(175)335∗ (176)17)-1 =

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(173*1752 *(173)32)*(17107(175)335 (176)17)-1

173*1752 *(17332)*(17107175335 17617)-1

(173+52+92)*(17107+37+67)-1

17202 17197(1) = 1710 * 17197 = 171017197 = 1710 197= 17517

Q #5
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#### SSC Quants Question

A person buys a mobile phone for Rs. 7, 500 and sold it for Rs. 6, 000. What is the loss percentage?
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Cost Price = Rs. 7500

Selling Price = Rs. 6000

Loss = (CP - SP) = Rs. 1500

Loss% = LossCP x 100 = 15007500 x 100 = 20% or 0.2