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Math MCQ Test No -3
4
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Q1. p
ⁿ
= (a × 5)
ⁿ
For pn to end with the digit zero a = _____ for natural number n.
*
1 point
(a) any natural number
(b) even number
(c) odd number
(d) none of these
Q2.
What should be added to the polynomial
x³
– 3x
²
+ 6x – 15, so that it is
completely divisible by x – 3 ?
*
1 point
(a) -3
(b) 3
(c) -2
(d) 2
Q3.
If ax + by = c and lx + my = n has unique solution then the relation between
the coefficient will be:
*
1 point
(a) am ≠lb
(b) am = lb
(c) ab = lm
(d) (0,-c/b)
Q4.
The value(s) of k for which the quadratic equation 2x
²
+ kx + 2 = 0 has equal
roots, is
*
1 point
(a) 4
(b) ± 4
(c) – 4
(d) 0
Q5.
If the three sides of a triangle are a, √3a and √2a , then the measure of
the
angle opposite to longest side is
*
1 point
(a) 45°
(b) 30°
(c) 60°
(d) 90°
Q6.
If ABC ~ EDF and ABC is not similar to DEF, then which of the following
is not true?
*
1 point
(a) BC.EF = AC.FD
(b) AB.EF =
AC.DE
(c)
BC.DE
= AB.EF
(d)
BC.DE
= AB.FD
Q7.
The distance between the points (4 cos 30°, 0) and (0, 4 cos 60°) is
*
1 point
(a) 10 units
(b) 5 units
(c) 1 unit
(d) 2 units
Q8.
If A is an acute angles such that sin A= cos A then tanA+ cot A is
*
1 point
(a) 0
(b) 2
(c) √3
(d) 1/√3
Q9.
Find the value of 4 Cosec
²
A – 4 cot
²
A
*
1 point
(a) 4
(b) 1
(c) √3
(d) 3
Q10.
Find the value of
(cos²30° + Sin²30 )/( Sec²30° - Tan²30°)
*
1 point
(a) 1
(b) 0
(c) √3
None of these
Q11.
In the figure, find the value of AB.
*
1 point
(a) 1000 (√3 –1) m
(b) 1000 m
(c) 1000√3 m
(d) √3 -1 m
Q12.
A kite is flying at a height of 50√3 m from the horizontal. It is attached with a
string and makes an angle 60° with the horizontal. Find the length of the string.
*
1 point
(a) 100m
(b) 150m
(c) 50m
(d) 200m
Q13.
A circle can have _______ parallel tangents at the most.
*
1 point
(a) infinite
(b) one
(c) Two
(d) None of These
Q14.
If the perimeter of a circle is equal to that of square, then find the ratio of their
areas.
*
1 point
(a) 14:11
(b) 7:11
(c) 11:14
(d) 11:7
Q15.
Two identical solid hemispheres of equal base radius r are stuck together
along their bases. The total surface area of the combination is
*
1 point
(a) 6πr².
(b) 4πr².
(c) 5πr²
(d) None of these
Q17.
Daily wages of a factory workers are recorded as:
The lower limit of Modal class is:
*
1 point
(a) Rs. 127
(b) Rs. 126
(c) Rs.126.50
(d) Rs.133
Q18.
A bag contains 6 red and 5 blue balls. One ball is drawn at random. The
probability that the ball is Red is:
*
1 point
5/11
6/11
4/11
11/11
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