1. Two numbers are in the ratio 5:7. If the sum of the numbers is 192, then the greater
number is
Correct : A. 112
2. x varies inversely as y and if x = 3 then y = 4. If y = 6 then the value of x is
Correct : C. 2
3. A sum will be double itself at a simple interest p.a. in 8 years. The simple interest is
Correct : D. 12.5%
4. If (x – 1), (x + 1) and (2x + 3) are in A.P, then the value of x is
Correct : B. 0
5. The 8th term of the series 256, 128, 64 ….. is
Correct : A. 2
6. If 2x – 1 + 2x + 1 = 80, then the value of x is
Correct : C. 20
7. If a and b be the roots of the equation 2x2 + 2x – 3 = 0 then the value of 2ab is
Correct : D. - 3
8. The value of 3P3 – 3C3 is
Correct : B. 5
9. P and Q are two non-empty sets. Given: n(P) = 12, n(Q) = 6 and n (P U Q) = 10. Then n (P ∩ Q) is
Correct : A. 8
10. Six years before the ratio of the ages of two sisters Mitali and Sonali is 2 : 3. If the present
age of Mitali is 30 years, then the present age of Sonali is
Correct : B. 42 years
11. Find the compound interest on 4,000 for 2 years at 5% p.a.
Correct : D. 410
12. The value of logarithm of 8 to the base 2 is
Correct : A. 3
13. If 2nP3 = 84. nP2, then the value of n is
Correct : B. 11
14. Product of the two roots of the quadratic equation 3x2 – 5x + 2 = 0 is
Correct : C. 2/3
15. If P and Q are two disjoint sets, then n (P ∩ Q) is
Correct : B. 0
16. If p varies directly as q and if q = 2 then p = 4. If p = 2, the value of q is
Correct : C. 1
17. A man deposited a sum of money to a bank at 9% simple interest p.a. The total interest
that he will get at the end of 5 years is 1,620. The deposited amount is
Correct : C. 3,600
18. The mean proportional between 4 and 16 is
Correct : D. + 8
19. The 6th term of an A.P 2, 5, 8 ……… is
Correct : C. 17
20. The 7th term of the series 16, 8, 4, 2 ……… is
Correct : B. 1/4
21. If A ∁ B and n (A) = 18, n (B) = 40, then n (A ∩ B) is
Correct : A. 18
22. The ratio of work done by (x + 2) men in (x – 2) days to that (x – 1) men in (x + 1) days
is 4 : 5, the value of x is
Correct : C. 4
23. The mean proportional between 2 and 8 is
Correct : A. 4
24. The 7th term of the Arithmetic Progression (AP) 7, 10, 13, 16, …… is
Correct : C. 25
25. The value of logarithm of 1 to the base 10 is
Correct : C. 0
26. If nP4 = 30 x nP2, then the value of n is
Correct : B. 8
27. The sum of the roots of the quadratic equation x2 – 3x = 0 is
Correct : D. 3
28. If 3x – 1 – 3x – 3 = 8, then the value of (x2 – x + 4) is
Correct : A. 10
29. The mean proportional between 9 and 25 is
Correct : B. 15
30. p varies inversely as q. If p = 2 then q = 3. Find p if q = 2.
Correct : A. 3
31. A person deposits 2,000 at 6% p.a. simple interest for 3 years. The amount he will
get back after 3 years is
Correct : C. 2,360
32. Find the 10th term of the A.P 3, 6, 9, 12, 15, ……………..
Correct : D. 30
33. The produce of 3 terms in a G.P is 125. The middle term is
Correct : C. 5
34. The value of 5C2 is
Correct : A. 10
35. For a quadratic equation x2 – 2x + 1 = 0, the product of the roots is
Correct : B. 1
36. The value of logarithm of 1/10 to the base 10 is
Correct : B. -1
37. Three numbers are in the ratio 5 : 7 : 12 and the sum of the first and third numbers is
greater than the second by 50. The sum of the three numbers is
Correct : B. 120
38. In a certain time Rs. 1400 becomes Rs. 1848 at 8% p.a. simple interest. When 2,100
will become 2,604 at the same time, the rate of interest is
Correct : D. 6%
39. The year by which a sum of rupees would be 1.21 times of itself at 10% per annum C.I
is
Correct : A. 2 years
40. If S be the set of all prime numbers and M = ሼ𝒙 ∶ 𝟎 𝒙 𝟗ሽ then M – (S ∩ M) is
Correct : A. ሼ𝟎, 𝟏, 𝟒, 𝟔, 𝟖, 𝟗ሽ
41. If a = b2 = c3, then the value of loga(abc) is
Correct : B. 11/6
42. Which term 128 is of the progression 1, 2, 4, 8, …….?
Correct : A. 8th term
43. If 5Cr – 3C2 = 7C1, then r is
Correct : D. both 2 and 3
44. y = A + B where A and B vary directly and inversely respectively with x; x = 1 when y =
11 and x = 2 when y = 13. The value of y when x = 3 is