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WorksheetsGrade 10 Maths July Monthly test
Total questions: 20
Worksheet time: 10mins
A = {a, b,p}, B = {2, 3}, C = {p, q, r, s)
then n[(A ∪ C) × B] is
8
20
12
16
The range of the relation R = {(x, x²)|x is a prime number less than 13} is
{2, 3, 5, 7}
{2, 3, 5, 7, 11}
{4, 9, 25, 49, 121}
{1, 4, 9, 25, 49, 121}
If the ordered pairs (a + 2,4) and (5, 2a + 6) are equal then (a, b) is
(2, -2)
(5, 1)
(2, 3)
(3, -2)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f : A → B given by f = {(1, 4),(2, 8),(3, 9),(4, 10)} is a
Many-one function
Identity function
One-to-one function
Into function
If g = {(1, 1),(2, 3),(3, 5),(4, 7)} is a function given by g(x) = αx + β then the values of α and β are
(-1, 2)
(2, -1)
(-1, -2)
(1, 2)
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy.
1 < r < b
0 < r < b
0 < r < b
0 < r < b
The sum of the exponents of the prime factors in the prime factorization of 1729 is
1
2
3
4
Given F1 = 1, F2 = 3 and Fn = Fn-1 + Fn-2 then FT is
3
5
8
11
If 6 times of 6th term of an A.P is equal to 7 times the 7th term, then the 13th term of the A.P. is
0
6
7
13
If the sequence t1, t2, t3, …………are in A.P. then the sequence t6, t12, t18, ... is
a Geometric progression
an Arithmetic progression
neither an Arithmetic progression nor a Geometric progression
a constant sequence
A system of three linear equations in three variables is inconsistent if their planes
intersect only at a point
intersect in a line
coincides with each other
do not intersect.
If (x – 6) is the HCF of x² – 2x – 24 and x²– kx – 6 then the value of k is
3
5
6
8
Which of the following should be added to make x⁴ + 64 a perfect square ……….
4x²
16x²
8x²
-8x²
The solution of (2x – 1)² = 9 is equal to
-1
2
-1, 2
None of these
The values of a and b if 4x⁴– 24x³ + 76x²+ ax + b is a perfect square are
100,120
10,12
-120,100
12,10
Graph of a linear polynomial is a …………..
straight line
circle
parabola
hyperbola
If A is a 2 × 3 matrix and B is a 3 × 4 matrix, how many columns does AB have
3
4
2
5
If a number of columns and rows are not equal in a matrix then it is said to be a …………..
diagonal matrix
rectangular matrix
square matrix
identity matrix
Transpose of a column matrix is
unit matrix
diagonal matrix
column matrix
row matrix
If the roots of the equation q2x2 + p2x + r2 = 0 are the squares of the roots of the equation qx2 +px + r = 0, then q,p, r are in ______.
A.P
G.P
Both A.P and G.P
none of these
