SOE - MERITORIOUS EXAM CLASS 11 ANSWER KEY 2024 SET B
Sure, I can help you solve the MCQs in the image you sent.
31. The next term of the A.P. $\sqrt{8}, \sqrt{18}, \sqrt{32},...., is
(A)
(B)
(C)
**(D)
The answer is (A) .
32. Which of the following is not the value of cot 0°?
(A)
(B)
(C) 0
(D) ∞
The answer is (D) ∞
33. The perimeter of a circle is equal to that of square, then the ratio of their areas is
(A) 22:7
(B) 14:11
(C) 7:12
(D) 11:14
The answer is (B) 14:11
34. The Rectangular sheet of dimension (4cmx 2cm.) Biggest circle is drawn from it. What is area of rest of the sheet?
(A) ((16\times\pi)cm^{2})
(Β) ((16-4\pi)cm^{2})
(C) ((8-\pi)cm^{2})
(D) ((8-4\pi)cm^{2})
35. The radius of wire is decreased to one-third and its volume remains the same. The new length is how many times the original length?
Answer 9 times
Question 36
Find the value of x. (A) 60 (B) 50 (C) 100 (D) 40 Correct Answer: (D) 40
Question 37
If P% of P is 36 then P is equal to (A) 15 (B) 60 (C) 600 (D) 3600 Correct Answer: (B) 60
Question 38
If then the value of n is [2^{2\pi-1}=\frac{1}{8^{n-3}}] (A) 3 (B) 2 (C) 0 (D) -2 Correct Answer: (C) 0
Question 39
What is the probability of 53 Thursday in a leap year? (A) 0 (B) 1 (C) (D) Correct Answer: (C)
Question 40
The product of two number is 45 and sum of their square is 106. Find the numbers. (A) 3, 5 (B) 5, 9 (C) 5, 19 (D) 45, 1 Correct Answer: (B) 5, 9
41. A vertical stick 20 m long casts a shadow 10 m long on the ground. At the same time, a tower casts a shadow 50 m long on the ground. The height of the tower is
(A) 120 m
(B) 25 m
(C) 200 m
Correct Answer (D) 100 m
42. The quadratic equation (2x^{2}-\sqrt{5}x+1=0) has ( 2x² - √5x +1= 0)
(A) two distinct real roots
(B) two equal real roots
(C) no real roots Correct Answer
(D) more than two real roots
45. Select the least number that is divisible by all numbers from 1 to 10.
(A) 2520 Correct Answer (B) 5040 (C) 1010 (D) 2020
46. The H.C.F. of two numbers a & b is 5 and their L.C.M. is 200. Find the product of 'ab'.
(A) 195 (B) 205 (C) 200 (D) 1000Correct Answer
47. If roots of ax^2 + bx + c = 0 are equal then the value of c is:
(A) -b/2a (B) b/2a (C) -b²/4a (D) b²/4a Correct Answer
48. What is the value of (-12)³ + (7)³ + (5)³?
(A) 24 (B) 12 (C) -1260Correct Answer (D) 19
49. The product of zeroes of the polynomial 4x² + 7+3x= 0
(A) 3/4 (B) -3/4 (C) 7/4 Correct Answer (D) -7/4
50. The median and mode respectively of a frequency distribution are 26 and 29, then its mean is
(A) 27.5 (B) 24.5 Correct Answer (C) 28.4 (D) 25.8
51. In a figure, on a circle of radius 7 cm, tangent PT is drawn from a point P such that PT=24 cm. If O is the centre of the circle, then the length of PR is
(A) 30 cm (B) 28 cm (C) 32 cm (D) 25 cm Correct Answer
52. If in fig., 'O' is the centre of circle then find the value of 'x'
(A) 40° (B) 60° (C) 45° (D) 50°Correct Answer
53. If the system of equation Kx+5y=2, 6x+2y=7 has no solution then find K.
(A) -10 (B) 5 (C) -6 (D) +15 Correct Answer
54. If the probability of an event is 'p' the probability of its complementary event will be
(A) p-1 (B) 1-p Correct Answer (C) 1- 1/p (D) p
55. The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree is
(A) 30° (B) 45° (C) 60° Correct Answer (D) 90°░
56. What is ordinate in P (2,-2)?
(A) 2 (B) -2 Correct Answer (C) 0 (D) 4
57. The end pt. of diameter of circle are (2,4) and (-3, 1). Then radius of circle is..........
(A) 5 √ 2/2 unit Correct Answer (B) unit (C) unit (D) unit
58. In figure, find the value of x for which DE || BC.
(A) 4 (B) 1 (C) 3 (D) 2 Correct Answer
59. If (37x+53y=320) and (53x+37y=400.) Find x + y.
(A) 6 (B) 7 (C) 8Correct Answer (D) 9
60. In an A.P. what is the value of first n even natural number?
(A) (B) n (C) (D)
I hope this helps!
