HSSC CET Group-D Exam 22.10.2023 (Shift-I)

Total Questions: 100

41. The single discount equivalent to two successive discounts of 20% and 10% is :

Correct Answer: (2) 28%
Solution:

Single equivalent discount of two successive discounts of 20% and 10%

42. The average of four consecutive numbers A B, C and D is 49.5. What is the product of B and D ?

Correct Answer: (4) 2499
Solution:

Average of four consecutive numbers A, B, C & D = 49.5
Product of B and D
= 49 × 51 = 2499

43. In how many years will a sum of Rs. 8000 at 5% per annum compound interest, compounded; annually becomes Rs. 9261?

Correct Answer: (1) 3
Solution:

Required time = 3 years

44. The smallest 5-digit number which is exactly divisible by 12, 15 and 18 is :

Correct Answer: (3) 10,080
Solution:

LCM of 12, 15 & 18 = 180
Smallest 5-digit number
Required number
= 10000 + 180 - 100
= 10080

45. The HCF of 2² × 3³ × 5⁵, 2³ × 3² × 5² × 7 and 2⁴ × 3⁴ × 5 × 7² × 11 is

Correct Answer: (5) Not attempted
Solution:

2³ × 3³ × 5⁵
2³ × 3² × 5² × 7
2⁴ × 3⁴ × 5 × 7² × 11
HCF = 2³ × 3² × 5

46. Wheat at Rs. 9.30 per kg is mixed with another quality of wheat in the ratio 8:7. If the mixture so formed be worth Rs. 10 per kg, what is the rate per kg of the second quality of wheat?

Correct Answer: (2) Rs. 10.80
Solution:Let price of second type of wheat per kg By rule of alligation

47. The number that must be added to each term of a : b so as to get the ratio c : d, is :

Correct Answer: (3) (ab - cd) / (c - b)
Solution:

Let number to be added According to question,

48. A certain sum is divided in the ratio 3 : 5. If the greater part is Rs. 75, then the sum is :

Correct Answer: (4) Rs. 120
Solution:

49. If 0 < x < 1, then the greatest number among the following is :

Correct Answer: (3) 1/x²
Solution:

0 < x < 1
from options, largest number

50. A can complete 1/3 of a work in 5 days and B can complete 2/5 of the same work in 10 days. In how many days both A and B together can complete the work?

Correct Answer: (2) 9⅜
Solution:

 Time taken by A
     = 3 × 5 = 15 days
   Time taken by B
     = 5/2 × 10 = 25 days
Time taken by (A + B) to complete the work