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WorksheetsMathematics MCQs Quiz
Total questions: 84
Worksheet time: 42mins
SI on ₹800 at 5% for 3 years is:
120
100
150
200
What is the amount on ₹2000 at 10% CI for 2 years?
2420
2200
2400
2310
Difference between SI and CI on ₹5000 for 2 years at 5%?
5
10
12.5
25
If the amount doubles in 10 years at SI, the rate is:
5%
10%
7%
12%
CI on ₹1000 at 20% for 1 year (half-yearly):
207
200
204
220
Solve: 2x + y = 7 and x – y = 1 → x = ?
2
3
4
1
For equations to have no solution:
a1/a2 = b1/b2 ≠ c1/c2
a1/a2 ≠ b1/b2
all equal
c1/c2 = 1
Solve: 3x – 2y = 4 and 6x – 4y = 8
no solution
one solution
infinite solutions
zero solution
5P2 equals:
10
20
30
60
In how many ways can 3 letters be selected from 6?
20
120
60
15
10C1 =
10
9
1
0
Number of 3-digit numbers using digits 1,2,3,4 (no repetition):
24
12
16
60
General term of (a + b)ⁿ is:
nCr aⁿ⁻ʳ bʳ
a+ b
rCn
none
Term independent of x in (x² + 1/x)⁶
x⁶
x⁰
x⁴
x²
lim x→0 sin x / x =
0
1
∞
undefined
lim x→0 (1 – cos x)/x²
1
1/2
2
0
d/dx (x³) =
x²
3x²
3x
6x
d/dx (sin x) =
cos x
–cos x
–sin x
tan x
d/dx (eˣ) =
eˣ
1
x²
0
Derivative of constant is:
1
c
0
none
n(A ∪ B) =
n(A)+n(B)
n(A)+n(B)-n(A∩B)
n(A)-n(B)
none
If A={1,2,3}, B={3,4,5}, A∩B =
{1,3}
{3}
{1}
{2,4}
A function must:
assign multiple y to one x
assign unique y to each x
assign no y
assign random
Domain of √(x–4) is:
x>4
x<4
x≥4
x≤4
Identity matrix has:
all zeros
1s on diagonal
1s everywhere
random numbers
det |2 3; 4 5| =
–2
2
10
–10
Matrix multiplication is:
Commutative
Not commutative
Subtractive
Identity only
Probability of getting a head in one coin toss:
0
1
1/2
1/4
Probability of drawing an Ace from 52 cards:
1/52
1/13
4/52
both b & c
P(A') =
1 – P(A)
P(A)
0
P(A)/2
Distance between (0,0) and (3,4):
5
7
3
4
Midpoint of (2,4) and (6,8):
(4,6)
(8,12)
(6,4)
(3,3)
Slope of line joining (1,2) and (3,6):
3
2
4
1
Distance formula in 3D is:
√(x²+y²)
√(Δx²+Δy²+Δz²)
x²+y²+z²
none
Direction cosines are:
angles with axes
lengths of axes
types of numbers
none
Magnitude of vector (3,4) is:
5
7
3
4
Dot product zero means:
parallel
same direction
perpendicular
none
Cross product gives:
scalar
vector
ratio
none
SI=500 = PRT/100 → 500 =2000×R×5/100 → R=?
5%
4%
3%
2%
If 3x + 4y =10 and 6x + 8y = 20, the equations are:
consistent
inconsistent
identical
none
Solve: 2x – 3y = 7 and x + y = 3 → x=?
2
1
3
4
The system ax + by = c has infinite solutions only when:
a=b=c
a1/a2 = b1/b2 = c1/c2
a=b
none
Number of permutations of the word “BANANA”:
120
60
720
360
If nPr = 56 and nCr = 8, find r.
4
3
2
1
Number of ways to seat 4 people around a round table:
24
12
6
20
Choosing 2 committees of 3 members each from 6 persons (no repetition):
10
20
15
30
Coefficient of x⁴ in (2x – 3)⁶ is:
360
270
540
720
Middle term of (x + 1/x)⁸ is:
4
56
70
35
lim x→0 (tan x)/x =
1
0
∞
1/2
lim x→0 (eˣ – 1)/x =
e
1
0
x
d/dx (x² ln x) =
2x ln x + x
x ln x
ln x
2x
d/dx (sin² x) =
2 sin x
2 sin x cos x
cos x
sin x
d/dx (1/x) is
–1/x²
1/x²
x
–x
If n(A)=20, n(B)=15, n(A∩B)=5 then n(A∪B)=?
20
25
30
35
A’ ∩ B = means:
Elements in B but not in A
All elements
Common elements
none
f(x)=1/x, domain is:
all real numbers
all real except 0
integers
positive numbers only
If f(x)=x², then f(–3)=?
–3
–9
9
3
A one-one function must satisfy:
f(a)=f(b) → a=b
f(a)=f(b) → a≠b
no condition
none
Order of the matrix [[1,2],[3,4],[5,6]]?
2×3
3×2
3×3
1×6
If A is 2×3 and B is 3×4, order of AB is:
3×3
2×4
4×2
Not possible
det(I₃) =
0
1
2
3
det |1 2 3; 0 1 4; 0 0 1| =
1
2
3
4
If det(A)=5, det(2A)=?
10
20
40
32
Probability of sum = 7 when rolling two dice:
1/6
1/12
1/18
1/36
Probability of drawing a queen from 52 cards:
1/52
1/13
4/52
b & c
If P(A)=0.4 and P(B)=0.5 and A,B independent, P(A∩B)=?
0.2
0.4
0.5
0.9
A bag has 3 red & 7 blue balls. Probability of picking red:
3/7
7/10
3/10
1/2
Area of triangle with vertices (0,0),(4,0),(0,6):
12
24
6
18
Equation of line with slope 2 passing through (0,3):
y=2x+3
y=2x–3
y=3x+2
2x+y=3
Distance between (2,3) and (–2,–3):
6
√36
√52
2
Distance between points (1,2,2) and (4,6,5):
5
√35
6
√50
Direction ratios of line through (1,2,3) and (4,6,7):
(3,4,4)
(1,1,1)
(2,3,4)
(3,4,5)
|3i + 4j + 12k| =
14
13
√169
13
Dot product of (1,2,3) and (4,–5,6):
12
1
32
28
If a·b = 0 then vectors are:
parallel
perpendicular
same
collinear
Cross product of parallel vectors is:
zero
positive
negative
infinite
(x – 3)² expands to:
x² + 9 – 6x
x² – 6x + 9
x² + 6x + 9
none
Value of 0! is:
0
1
–1
∞
If nP2 = 90, find n:
10
9
15
12
Slope of line perpendicular to slope 3 is:
1/3
–1/3
–3
1
If |x|= –5, then x is:
5
–5
does not exist
tan(45°) =
1
0
√3
1/√3
Value of cos(0°) =
1
0
–1
½
If A is 2×2 matrix and det(A)=3, det(A⁻¹)=?
1
3
1/3
9
