PGT Commerce Level-3 (HTEТ), Exam 2023

Total Questions: 150

71. If it was Saturday on 17th December, 2002, what was the day on 22nd December, 2004?

Correct Answer: A. Sunday
Solution:

The year 2004 is a leap year and hence there would be 29 days in
February.
17th December 2002 to 16th December 2003
= 365 days
17th December 2003 to 16th December 2004
= 366 days (leap year)
17th December 2004 to 22nd December 2004
= 6 days
Total number of days = 365 + 366 + 5
= 737 days
737 ÷ 7 = 105 weeks 2 days
The 105th week would end on Friday. Thus, the next two days would be Saturday and Sunday.
Hence, the day on 22nd December 2004 would be Sunday.

72. The next of the series is:

Z1A, X2D, V6G, Т21J, ?

Correct Answer: D. R88M
Solution:

73. In English alphabet, the number of letters skipped in between adjacent letters in the series is decreased by one. Which of the following series observes the rule?

Correct Answer: B. DJOSV
Solution:

74. The radius of the circumcircle of the triangle made by x-axis, y-axis and 4x + 3y = 12 is:

Correct Answer: B. 2.5 unit
Solution:

The radius of the circumcircle of the triangle made by x-axis, y-axis and 4x + 3y = 12
∴ 4x + 3y = 12 ...(i)
∴ 4x/12 + 3y/12 = 1
⇒ x/3 + y/4 = 1
The Intercept form: The equation of line (i) which cuts x-axis at B(3, 0) and y-axis at A(0, 4).
Now, ΔAOB is right-angle triangle.

75. Find the least number which must be added to 15463 so that the resulting number is exactly divisible by 107:

Correct Answer: A. 52
Solution:

15463+ x = 107 × 145
15463 + x = 15515
⇒ x = 15515 - 15463
⇒ x = 52
Hence, Required least number which must be added
= 52.

76. What proportion of water must be added to milk to gain 20% by selling it at the cost price?

Correct Answer: A. 1 : 5
Solution:

Let C.P. of 100 unit Milk = ₹ 100
Then, C.P. of 120 unit milk = ₹ 120
and C.P. of 20 unit water + 100 unit milk = ₹ 100
∴ S.P. of 20 unit water + 100 unit milk = ₹ 120
∴ Profit = ₹ 120 − 100 = ₹ 20
= 20%
Hence, proportion of water must be added to milk
= 20 : 100 = 1 : 5.

77. The ratio of compound interest and simple interest on a certain sum at the rate of 4% per annum for 2 years is:

Correct Answer: C. 51: 50
Solution:

78. If A, B and C enter into a partnership with shares in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increase his share by 50%. If the total profit at the end of one year be ₹ 21,600, then B's share in the profit is:

Correct Answer: C. ₹ 4,000
Solution:

Ratio of partnership
A : B : C = 7/2 : 4/3 : 6/5
= 105 : 40 : 36
After 4 months:
Ratio of Share in the profit,
A : B : C
= 105 × 4 + 105 × 150/100 × 8 : 40 × 12 : 36 × 12
= 420 + 105 × 3/2 × 8 : 480 : 432
= 420 + 105 × 12 : 480 : 432
= 420 + 1260 : 480 : 432
= 1680 : 480 : 432
= 35 : 10 : 9
Given, the total profit at the end of one year
= ₹ 21,600
Hence, B’s share in the profit
= 21600 × 10 / (35 + 10 + 9)
= 21600 × 10 / 54
= 216000 / 54
= ₹ 4000.

79. A man sold an article at a loss of 20%. If he sells the article for ₹ 12 more, he would have gained 10%. The cost price of an article is:

Correct Answer: D. ₹ 40
Solution:


80. Solve the following equation?

Correct Answer: (D)
Solution: