HSSC Group D-21/10/2023 (Evening Shift)

41. (0.5 × 0.5 + 0.5 ÷ 5) is equal to :

Correct Answer: (a) 0.35

Solution:

42. The L. C. M. of three numbers 2p, 5p and 7p is :

Correct Answer: (b) 70p³

Solution:LCM of three numbers 2p, 5p and 7p

= 2 x 5 x 7 x p

= 70p

43. For which sum, the simple interest at the rate of 3 ¾ % per annum will be ₹ 210 in 2 ⅓ years?

Correct Answer: (d) ₹ 2400

Solution:Given, SI = overline < 210 R = 3 ¾ % =2 ⅓ %

44. If a and b are two distinct integers, then which of the following is incorrect?

Correct Answer: (d) a – b = b – a

Solution:Let a = 2 , b = 3

From option (a),

2+0=0+2=2→ Correct From option (b),

2-020-2→ Correct From option (c),

2+3=3+25=5 → Correct From option (d),

2-3-3-2-1=1 → Incorrect

45. A certain number is divided into two parts such that 5 times the first part added to 11 times the second part makes 7 times the number. The ratio of the first part to the second part is :

Correct Answer: (a) 1 : 2

Solution:Let the first and second part be x and y respectively.

According to the question,

5x + 11y = 7(x + y)

⇒ 5x + 11y = 7x + 7y

⇒ 7x - 5x = 11y - 7y

⇒ 2x = 4y

⇒ x/y = 4/2 = 2/1

x : y = 2/:1

46. Half of a certain number is equal to 65% of the second number. The ratio of the first number to the second number is :

Correct Answer: (b) 13 : 10

Solution:Let the first and second number be x and y, respectively.

According to the question,

47. The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is :

Correct Answer: (d) 5 m

Solution:The length of the longest rod that can be placed in a room

48. In how many years will a sum ₹ 800 at 10% per annum compound interest, compounded semi-annually become ₹ 926.10?

Correct Answer: (d) 1 ¼ years

Solution:Given, P = ₹ 800 A =₹ 926.10

49. 20 litres of a mixture contains milk and water in the ratio 3 : 1. How many litres of milk be added to the mixture so as to make the ratio 4 : 1 is :

Correct Answer: (a) 5 litres

Solution:In 20 L of mixture,

3 Quantity of milk = 20 x = = 15 L Quantity of water=20-15=5L Let the amount of milk to be added = x L

50. Simplification of 0.2 × 0.2 + 0.01 ÷ 0.1 × 0.1 + 0.02 gives :

Correct Answer: (c) 5⁄3