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
View Answer
Answer : A. 3:10
Description
22- Which of the following is a surd?
A. √16
B. √16 + √25
C. √21
D. None of these
View Answer
Answer : C. √21
Description
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
View Answer
Answer : B. 223
Description
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
View Answer
Answer : C. 21 years
Description
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
View Answer
Answer : A. x^2 - 55x + 66 = 0
Description
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
View Answer
Answer : A. 8
Description
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
View Answer
Answer : A. 2:1
Description
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
View Answer
Answer : D. None of these
Description
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
View Answer
Answer : A. 9:13
Description
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
View Answer
Answer : B. 1:4
Description
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
View Answer
Answer : B. 30
Description
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
View Answer
Answer : B. 15
Description
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
View Answer
Answer : B. 10ᵗʰ week
Description
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
View Answer
Answer : B. 4
Description
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
View Answer
Answer : D. None of these
Description
36- To express 2.08 in terms of percentage, one gets:
A. 208%
B. 20%
C. 20.8%
D. None of these
View Answer
Answer : A. 208%
Description
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
View Answer
Answer : A. Rs 600
Description
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
View Answer
Answer : B. 82.8
Description
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
View Answer
Answer : C. 54,000
Description
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?