ASF Assistant Director Past Paper Dated: 19-07-2025 Batch-2

21- If x: y = 3:4 and y: z = 2:5 , then x:z is:

A. 3:10
B. 4:9
C. 5:12
D. None of these

Answer : A. 3:10

22- Which of the following is a surd?

A. √16
B. √16 + √25
C. √21
D. None of these

Answer : C. √21

23- If x + 1/x = 15 , then the value of x^2 + 1/x^2 is:

A. 225
B. 223
C. 217
D. None of these

Answer : B. 223

24- Three years ago, the age of a father was three times the age of his son. If the sum of their current ages is 70 years, what is the present age of the son?

A. 20 years
B. 25 years
C. 21 years
D. None of these

Answer : C. 21 years

25- If the sum and product of the roots of a quadratic equation are 55 and 66 respectively, which of the following represents the correct quadratic equation?

A. x^2 – 55x + 66 = 0
B. x^2 + 55x – 66 = 0 
C. x^2 – 55x – 66 = 0 
D. None of these

Answer : A. x^2 - 55x + 66 = 0

26- A person has Rs 2, Rs 5, and Rs 10 coins amounting to Rs 472. If the ratio of the number of these coins is 2:3:4, find the number of Rs 2 coins.

A. 8
B. 13
C. 20
D. None of these

Answer : A. 8

27- If a:b:c = 3:4:7 , then the ratio ( a+b+c ):c is equal to:

A. 2:1
B. 14:3
C. 7:2
D. None of these

Answer : A. 2:1

28- If 2/3 of A = 75\% of B = 0.6 of C, then A:B:C is:

A. 2:3:3
B. 3:4:5
C. 4:5:6
D. None of these

Answer : D. None of these

29- If A and B are in the ratio 3:4, and B and C are in the ratio 12:13, then A and C will be in the ratio:

A. 9:13
B. 3:13
C. 36:13
D. None of these

Answer : A. 9:13

30- A drink contains 20% mango juice and the rest is apple juice. What is the ratio of mango juice to apple juice?

A. 4:1
B. 1:4
C. 1:20
D. None of these

Answer : B. 1:4

31- What is the Arithmetic Mean of the numbers 10, 20, 30, 40, and 50?

A. 25
B. 30
C. 35
D. None of these

Answer : B. 30

32- If three arithmetic means are inserted between 5 and 25, the second arithmetic mean is:

A. 10
B. 15
C. 20
D. None of these

Answer : B. 15

33- Meher saves Rs 4 in first week, Rs 13 in the second week, and Rs 22 in the third week. In which week will her savings reach Rs 130?

A. 8ᵗʰ week
B. 10ᵗʰ week
C. 12ᵗʰ week
D. None of these

Answer : B. 10ᵗʰ week

34- In an Arithmetic Progression, if a_1 = 28, d = -4, n = 7 , then a_n is:

A. 3
B. 4
C. 5
D. None of these

Answer : B. 4

35- If log_10 2, log_10 (2^x - 1), and log_10 (2^x + 3) are three consecutive terms of an arithmetic progression, which of the following is true?

A. x = log_7 5
B. x = log_5 2
C. x = log_2 3
D. None of these

Answer : D. None of these

36- To express 2.08 in terms of percentage, one gets:

A. 208%
B. 20%
C. 20.8%
D. None of these

Answer : A. 208%

37- A shirt originally priced at Rs 800 is on sale for 25% off. What is the final price after the discount?

A. Rs 600
B. Rs 650
C. Rs 700
D. None of these

Answer : A. Rs 600

38- Riya scored 72 out of 120 in her first test. After studying, she improved her score by 15%. What is her new score?

A. 80.2
B. 82.8
C. 85
D. None of these

Answer : B. 82.8

39- A town’s population was 50,000 in 2020. If it grows by 8% annually, what will be the population in 2021?

A. 50,800
B. 52,000
C. 54,000
D. None of these

Answer : C. 54,000

40- The marked price of a smartphone is Rs 20,000. If a 12% GST is applied, what is the total amount to be paid?

A. Rs 20,240
B. Rs 21,400
C. Rs 22,400
D. None of these

Answer : C. Rs 22,400

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