MCQ
Part-I Secondary and Senior Secondary Standard: MCQ - Practice Questions with Answers
Solve 295 Part-I Secondary and Senior Secondary Standard: questions for RAS/RPSC preparation.
Practice questions
Q1A teacher asks students to identify the correct statement about decimal expansions. Which statement should be accepted?
Rational numbers are exactly those whose decimal expansions terminate or eventually repeat. Non-terminating non-recurring decimals are the decimal signature of irrational numbers.
Q2For f(x) = x^3 - 3x on [0, 2], the value of c in (0, 2) satisfying Lagrange's Mean Value Theorem is
The secant slope on [0, 2] is (f(2)-f(0))/(2-0) = (2-0)/2 = 1. Since f_prime(x) = 3x^2 - 3, Lagrange's theorem requires 3c^2 - 3 = 1. Hence c^2 = 4/3 and the interior value is c = 2/sqrt(3).
Q3The scalar projection of a = 2i - j + 2k on b = i + 2j + 2k is:
The scalar projection of a on b is (a.b)/|b|. Here a.b=2*1+(-1)*2+2*2=4 and |b|=sqrt(1+4+4)=3. Hence the required projection is 4/3.
Q4Let A be a non-singular matrix of order 3 and det(A) = 4. What is det(2 adj A)?
For a non-singular matrix of order n, det(adj A) = det(A)^(n - 1). Here n = 3, so det(adj A) = 4^2 = 16. Since adj A is also 3 x 3, det(2 adj A) = 2^3 det(adj A) = 8 x 16 = 128.
Q5Let A = {1, 2, 3}, B = {2, 3, 4, 5} and R = {(1, 2), (2, 3), (3, 4)} be a relation from A to B. What are the domain and range of R respectively?
In a relation written as ordered pairs, the domain consists of all first entries and the range consists of all second entries that actually occur. Thus domain = {1, 2, 3} and range = {2, 3, 4}.
You've seen 5 of 295 sample questions
Unlimited practice on Part-I Secondary and Senior Secondary Standard: comes with the RAS Test Series + Practice pack or Gate Pass.
More questions
6If p(x) = x^3 - 4x^2 + ax + 6 leaves remainder 2 when divided by x - 1, then what is the value of a?
7On the set of integers Z, which relation is an equivalence relation?
8A discrete random variable X takes values 0, 1, 2 and 3 with probabilities k, 2k, 3k and 4k respectively. Which statement is correct?
9A sector of a circle of radius 21 cm and angle 120 degrees is folded without overlap to form the curved surface of a right circular cone. Taking pi = 22/7, what is the volume of the cone so formed?
10For A = [[1, 2], [3, 5]], which one of the following is A^-1?
11In triangle ABC, side BC is produced to D. If exterior angle ACD is 125 degrees and angle A is 48 degrees, then angle B is:
12Let a = 3i - 2j + k and b = i + 4j - 2k. What is a + b?
13If two triangles have all three corresponding sides equal, which congruency criterion establishes their congruence?
14In a class of 50 students, 28 like Mathematics, 24 like Science and 10 like both. How many students like neither Mathematics nor Science?
15Using Euclid's division lemma, find the HCF of 867 and 255.