Hssc Computer Health Department Exam 2016 (Shift-II)

1. What is the product of the largest four digit number and the smallest three digit number?

(1) 99,900
(2) 99,000
(3) 999,990
(4) 999,900

Correct Answer: (4) 999,900

Solution:Largest four digit number = 9999

Smallest three digit number = 100

.:. Product = 9999 x 100 =999900

2. If 4³ is subtracted from 5³ and added to the square root of 144, we will get.

(1) 61
(2) 77
(3) 21
(4) 73

Correct Answer: (4) 73

Solution:As per question

5³ - 4³ + √(144)

⇒ 125 - 64 + 12

⇒ 61+12 ⇒ 73

3. What is the value if the larg est two digit prime number is substracted from the smallest three digit prime number?

(1) 6
(2) 7
(3) 5
(4) 4

Correct Answer: (4) 4

Solution:Smallest three digit prime number = 101

Largest two digit Prime number = 97

difference = 101-97= 4

4. √(324/81) can also be written as.

(1) 4
(2) 9
(3) 3
(4) 2

Correct Answer: (4) 2

Solution:√(324/81) = √(4) = 2

5. A store offered a 25% discount on a shirt costing Rs. 1500. Since Ram purchased clothing worth Rs. 5000, he got a further discount of 1%. What was the final price that he paid for the shirt?

(1) Rs.111.75
(2) Rs. 1110.75
(3) Rs.1125.75
(4) Rs.1075.75

Correct Answer: (1) Rs.111.75

Solution:Cost Price = 1500 * 75/100 * 99/100 = Rs.1113.75

6. Rajesh took a loan at 9% per annum simple interest and invested in a project where he got a return of 13%. At the end of 5 years he made a profit of Rs.15000. what was the original amount that he had loaned?

(1) 60,000
(2) 75,000
(3) 90,000
(4) 80,000

Correct Answer: (2) 75,000

Solution:Let principal = x, time = 5 years rate = 9% and 13%

profit = x*13*5/100 - x*9*5/100

⇒ 15000 = (65x)/100 - (45x)/100

⇒ (20x)/100 = 15000

⇒ x = Rs. 0.75 ,000

Amount taken on loan = Rs. 75,000

7. Amongst a group of 700 students, 210 have opted for Science. 150 have opted for arts. while 340 have opted for commerce. If a student is randomly selected from this group. what is the probability that this student would have opted for science?

(1) 0.25
(2) 0.48
(3) 0.45
(4) 0.30

Correct Answer: (4) 0.30

Solution:n (S) = 700 C = 700

n(E) = 210 C = 210

∴P (E) = n(E)/n(S) = 210/700 = 0.30

8. What is the probability that when a coin is tossed twice successively the outcome would be one heads and one tail?

(1) 1/4
(2) 1/2
(3) 2/3
(4) 1

Correct Answer: (2) 1/2

Solution:S = {H H, HT}

E = (HT)

∴ P(E) = n(E)/n(S)= 1/2

9. A stationery shop is offering a set of stationery for Rs.352. which is 12% discount of the original sale price. what is the original sale price?

(1) Rs. 400
(2) Rs. 310
(3) RS. 375
(4) Rs. 385

Correct Answer: (1) Rs. 400

Solution:Selling price = Rs. 352

discount = 12%

∴Original selling price = 352 * 100/88 = Rs. 400

10. A trader deals in three types of products-apparels cosmetics and stationery which are in the ratio 2:4: 5. If he sold a total 110 items, how many cosmetics did he sell?

(1) 20
(2) 40
(3) 50
(4) 60

Correct Answer: (2) 40

Solution:Cloth: cosmetic: stationery = 2: 4:5

Total Items = 110

∴ Cosmetic items = (110 * 4)/(2 + 4 + 5) = (110 * 4)/11 = 40