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HCS (Ex. Br.) Preliminary Examination - 2021 - Answer Key Released

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HCS (Ex. Br.) Preliminary Examination - 2021 - Answer Key Released 25 Jul 2022

Haryana Public Service Commission has released the official answer key for the HCS (Ex. Br.) Preliminary Examination - 2021 conducted on 24th July'22. Candidates can file their objections (if any) till 11:59 PM on 27th July'22. For details, please visit the official website of the commission - www.hpsc.gov.in

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Examination Updates

HCS (Ex. Br.) Preliminary Examination - 2021 - Answer Key Released 25 Jul 2022

Subject Wise Question -> MATHS -> SIMPLE INTEREST

A certain sum becomes double in 8 years by earning simple interest. Find the rate of simple interest per annum.

i)	10 %
ii)	12.5 %
iii)	15 %
iv)	20 %

Correct Answer: 2

Description:

Let principal be Rs P; so, amount becomes 2P; Interest = 2P – P = P;

Rate = (SI * 100)/ P*T = (P * 100) / P * 8 = 25 / 2 = 12.5 %

A certain sum lent on simple interest amounts to Rs 1380/- in three years and to Rs 1500/- in five years. Find the rate of interest per annum.

i)	3 %
ii)	3.5 %
iii)	4 %
iv)	5 %

Correct Answer: 4

Description:

SI earned in 2 years = 1500 – 1380 = Rs 120/-

Let P be principal & R be the rate of interest. Then,

(P * 2 * R/100) = 120; or PR /100 = 60;

Also, P + (P*3*R/100) = 1380; or P + (3PR/100) = 1380;

P + (3 * 60) = 1380; So, P = Rs 1200; R =6000/1200 = 5 %

A part of Rs 1500/- was lent at 10 % per annum and rest at 7 % per annum simple interest. The total interest earned in three years was Rs 396/-. Find the sum lent at the rate of 10 % per annum.

i)	Rs 900/-
ii)	Rs 800/-
iii)	Rs 700/-
iv)	Rs 600/-

Correct Answer: 1

Description:

Let P be the sum lent @ 10 % per annum, so the sum lent @ 7 % per annum = (1500 – P);

[P * 10 * 3/100] + [(1500 – P) * 7 * 3/100] = 396;

P = Rs 900/-

Two equal sums were given on simple interest at the rates of 7% and 5% per annum respectively. If the total interest earned on the both sums at the end of four years was Rs 960/- , find the total of both sums initially given on interest.

i)	Rs 3500/-
ii)	Rs 3000/-
iii)	Rs 2500/-
iv)	Rs 2000/-

Correct Answer: 4

Description:

Let each amount be Rs P.

Now, (P *4 * 7/100) + (P * 4 * 7/100) = 960;

P = Rs 2000/-

Amit borrowed some money at the rate of 6 % per annum for the first three years, 9 % per annum for the next five years and at the rate of 13 % per annum beyond this period of eight years. If the total interest paid by Amit at the end of eleven years is Rs 8160/-, how much money was borrowed by him?