Algebra Mock Test 6 - Online MCQ Exam

If sin θ x cos θ = 1/2, then what is the value of sin θ - cos θ?

1 Mark(s)

Your Answer:

0 0
1 1
-1 -1
None of the above None of the above

In how many ways can live boys and three girls sit in a row such that all boys sit together?

1 Mark(s)

Your Answer:

4800 4800
5760 5760
2880 2880
15000 15000

The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?

1 Mark(s)

Your Answer:

2.66 cm 2.66 cm
2.5 cm 2.5 cm
3 cm 3 cm
3.5 cm 3.5 cm

21345 * 45 = 4270 * ?

1 Mark(s)

Your Answer:

215 215
235 235
225 225
255 255

A surn of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share ?

1 Mark(s)

Your Answer:

Rs. 500 Rs. 500
Rs. 1500 Rs. 1500
Rs. 2000 Rs. 2000
None of these None of these

The sum of -5 and -6 is:

1 Mark(s)

Your Answer:

11 11
1 1
−1 −1
−11 −11

What is $\sqrt{900}$?

1 Mark(s)

Your Answer:

30 30
28 28
32 32
34 34

According to theorem of Invertendo, if a : b = c : d then:

1 Mark(s)

Your Answer:

b : a = d : c b : a = d : c
a : c = b : d a : c = b : d
a : d = b : c a : d = b : c
a + b = c + d a + b = c + d

The value of cot -1 9 + cosec -1 ($\frac{\sqrt{41}}{4}$) is given by

1 Mark(s)

Your Answer:

A) 0 A) 0
B) $\frac{\pi}{4}$ B) $\frac{\pi}{4}$
C) tan -1 2 C) tan -1 2
D) $\frac{\pi}{2}$ (\frac{\pi}{4}\) We hope the given Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions will help you. If you have any query regarding CBSE Class 12 Maths Inverse Trigonometric Functions MCQs Pdf, drop a comment below and we will get back to you at the earliest. -->

The value of p + p + q + q – p – q is equal to

1 Mark(s)

Your Answer:

A) 2p + 2q A) 2p + 2q
B) p + q B) p + q
C) 2p C) 2p
D) 2q D) 2q

A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?

1 Mark(s)

Your Answer:

Rs. 1620 Rs. 1620
Rs. 1640 Rs. 1640
Rs. 1680 Rs. 1680
Rs. 1700 Rs. 1700

The side of a square is 6 cm. If its side is doubled, then its new perimeter is

1 Mark(s)

Your Answer:

A) 48 cm A) 48 cm
B) 36 cm B) 36 cm
C) 60 cm C) 60 cm
D) 24 cm D) 24 cm

The least number which when add 3 to it, completely divided 8, 12 and 18 is_______?

1 Mark(s)

Your Answer:

71 71
70 70
69 69
68 68

The number whose 75% is 18, is

1 Mark(s)

Your Answer:

A) 24 A) 24
B) 25 B) 25
C) 32 C) 32
D) 30 D) 30

If A = $\left[\begin{array}{lll} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{array}\right]$, then A 4 – 2 4 (A – I) =

1 Mark(s)

Your Answer:

A) 5I + A A) 5I + A
B) 5I – A B) 5I – A
C) 5I C) 5I
D) 6I D) 6I

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?

1 Mark(s)

Your Answer:

480 liters 480 liters
600 liters 600 liters
720 liters 720 liters
800 liters 800 liters

The measure of the angle of a semi-circle is

1 Mark(s)

Your Answer:

A) 30° A) 30°
B) 45° B) 45°
C) 60° C) 60°
D) 90° D) 90°

Arrange the following expressions in descending order of their values.

1 Mark(s)

Your Answer:

A) 128 + 272 A) 128 + 272
B) 450 – 150 B) 450 – 150
C) 70 × 10 C) 70 × 10
D) 900 ÷ 2 D) 900 ÷ 2

Ramees sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?

1 Mark(s)

Your Answer:

Rs.2000 Rs.2000
Rs.1980 Rs.1980
Rs.1891 Rs.1891
Rs.1750 Rs.1750

Which of the following is a subset of set {1, 2, 3, 4}?

1 Mark(s)

Your Answer:

{1, 2} {1, 2}
{1, 2, 3} {1, 2, 3}
{1} {1}
All of the mentioned All of the mentioned

If $x^2 - 5x + 6 = 0$, find the product of the roots.

1 Mark(s)

Your Answer:

6 6
5 5
-6 -6
-5 -5

If the diameter of a cylinder is 5cm and the volume of cylinder is 650cm³ then the height of cylinder is:

1 Mark(s)

Your Answer:

40cm 40cm
25cm 25cm
33cm 33cm
45cm 45cm

What is $\sqrt{1444}$?

1 Mark(s)

Your Answer:

38 38
36 36
40 40
42 42

A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is_______?

1 Mark(s)

Your Answer:

31 31
41 41
51 51
61 61

(2x + 3) (3x – 1) =

1 Mark(s)

Your Answer:

A) 6x 2 + 7x – 3 A) 6x 2 + 7x – 3
B) 6x 2 + 8x – 3 B) 6x 2 + 8x – 3
C) 6x 2 – 7x – 3 C) 6x 2 – 7x – 3
D) 6x 2 – 7x + 3 D) 6x 2 – 7x + 3

Think of a date → Add 10 to the month → multiply by 5 → subtract 40 from it → multiply by 4 → again subtract it by 40 → multiply it by 5. What is the constant obtained in the above trick?

1 Mark(s)

Your Answer:

A) 180 A) 180
B) 200 B) 200
C) 240 C) 240
D) None of these D) None of these

Assertion (A) The common factors of two numbers can never be greater than the smaller number. Reason (R) Factors are numbers that divide another number completely.

1 Mark(s)

Your Answer:

A) Both (A) and (R) are true and (R) is the correct explanation of (A).
B) Both (A) and (R) are true but (R) is not the correct explanation of (A).
C) (A) is true but (R) is false. C) (A) is true but (R) is false.
D) (A) is false but (R) is true. (A) and (R) are true and (R) is the correct explanation of (A).

From the list of below options, which of the fraction is the smallest?

1 Mark(s)

Your Answer:

14/33 14/33
7/13 7/13
11/13 11/13
8/15 8/15

The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?

1 Mark(s)

Your Answer:

90% increase 90% increase
45% increase 45% increase
9% decrease 9% decrease
Same as before Same as before

If tan -1 3 + tan -1 x = tan -1 8, then x =

1 Mark(s)

Your Answer:

A) 5 A) 5
B) $\frac{1}{5}$ B) $\frac{1}{5}$
C) $\frac{5}{14}$ C) $\frac{5}{14}$
D) $\frac{14}{5}$ (\frac{1}{5}\) D) $\frac{14}{5}$ (\frac{1}{5}\)

The expression (2n-1) represents all

1 Mark(s)

Your Answer:

A) even numbers A) even numbers
B) odd numbers B) odd numbers
C) both even and odd C) both even and odd
D) None of these D) None of these

A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?

1 Mark(s)

Your Answer:

16 16
8 8
12 12
20 20

Which of the following is equal to x3?

1 Mark(s)

Your Answer:

x6x3 x6x3
x6 + x3 x6 + x3
x6 / x3 x6 / x3
(x6)3 (x6)3

A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?

1 Mark(s)

Your Answer:

20% 20%
45% 45%
44% 44%
48% 48%

If P -1, P + 3 and 3P – 1 are three consecutive terms of an AP, then P is equal to:

1 Mark(s)

Your Answer:

A) 4 A) 4
B) -4 B) -4
C) 2 C) 2
D) -2 D) -2

The probability of randomly selecting a rotten apple is 0.18 from the heap of 900 apples. So, what is the number of rotten apples in a heap?

1 Mark(s)

Your Answer:

162 162
164 164
136 136
160 160

A sum of money doubles itself in \$5$ years at simple interest. In how many years will it become \$5$ times itself at the same rate?

1 Mark(s)

Your Answer:

15 years 15 years
20 years 20 years
25 years 25 years
30 years 30 years

125² * 2³ + 35000 = (?)²

1 Mark(s)

Your Answer:

200 200
400 400
1600 1600
800 800

A recipe requires $\frac{2}{3}$ of a cup of sugar. If you triple the recipe, how much sugar is needed?

1 Mark(s)

Your Answer:

A) $\frac{4}{3}$ cups A) $\frac{4}{3}$ cups
B) $\frac{5}{6}$ cups B) $\frac{5}{6}$ cups
C) $\frac{2}{9}$ cups C) $\frac{2}{9}$ cups
D) $\frac{6}{3}$ cups (\frac{6}{3}\) cups

There are 30 customers who visited a shop and purchases goods costing $120. If a sales manager will receive commission of 5% on total sales made by him then the commission received (in dollars) is:

1 Mark(s)

Your Answer:

$240 $240
$215 $215
$180 $180
$200 $200

If x is a set and the set contains an integer which is neither positive nor negative then the set x is ____________.

1 Mark(s)

Your Answer:

Set is Empty Set is Empty
Set is Non-empty Set is Non-empty
Set is Finite. Set is Finite.
Set is both Non- empty and Finite. Set is both Non- empty and Finite.

The number of bijective functions from set A to itself when A contains 106 elements is

1 Mark(s)

Your Answer:

A) 106 A) 106
B) (106) 2 B) (106) 2
C) 106! C) 106!
D) 2 106 D) 2 106

Find the highest common factor of 36 and 84.

1 Mark(s)

Your Answer:

4 4
6 6
12 12
18 18

Suppose cos θ + sin θ = √2 cos θ, then which of the following is the correct value of cos θ - sin θ?

1 Mark(s)

Your Answer:

√2 cos θ √2 cos θ
√2 sin θ √2 sin θ
-√2 cos θ -√2 cos θ
-√2 sin θ -√2 sin θ

The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is__________?

1 Mark(s)

Your Answer:

3 3
4 4
5 5
6 6

A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days. In how many days will A alone finish the job?

1 Mark(s)

Your Answer:

48 48
34(2/7) 34(2/7)
44 44
45 45

In the given figure, if O is the centre, AB and CD are equal chords, ∠2 = (133 – 3x)° and ∠2 = (133 – 3x)°, then value of x is:

1 Mark(s)

Your Answer:

A) 28 A) 28
B) 26 B) 26
C) 32 C) 32
D) 31 D) 31

Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is

1 Mark(s)

Your Answer:

A) 9 A) 9
B) 27 B) 27
C) 81 C) 81
D) 512 D) 512

Find the LCM of \$32$ and \$48$

1 Mark(s)

Your Answer:

64 64
80 80
96 96
128 128

How many parameters in the binomial distribution?

1 Mark(s)

Your Answer:

1 1
2 2
3 3
4 4

If the circumference of a circle is 352 meters then its area in Sq.m is:________?

1 Mark(s)

Your Answer:

9856 9856
8956 8956
6589 6589
5986 5986

The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?

1 Mark(s)

Your Answer:

Rs.32 Rs.32
Rs.28 Rs.28
Rs.36 Rs.36
Rs.25 Rs.25
None of these None of these

The product of two digits number is 2160 and their HCF is 12. The numbers are________?

1 Mark(s)

Your Answer:

(36,60) (36,60)
(12,180) (12,180)
(96,25) (96,25)
(72,30) (72,30)

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?

1 Mark(s)

Your Answer:

23 years 23 years
24 years 24 years
25 years 25 years
None of these None of these

A line segment determined by the center and a point on the circle is called:

1 Mark(s)

Your Answer:

radial segment radial segment
diameter diameter
chord chord
radius radius

A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

1 Mark(s)

Your Answer:

28 4/7 years 28 4/7 years
31 5/7 years 31 5/7 years
32 1/7 years 32 1/7 years
None of these None of these

An item marked at ₹ 9000 is offered in a sale for ₹ 8550. The discount percent is

1 Mark(s)

Your Answer:

A) 5% A) 5%
B) 6% B) 6%
C) 8% C) 8%
D) 8$\frac {1}{3}$% D) 8$\frac {1}{3}$%

In question 2 (above), the number of students who scored marks less than 4 is

1 Mark(s)

Your Answer:

A) 15 A) 15
B) 13 B) 13
C) 12 C) 12
D) 10 D) 10

The prime factors of 70 are:

1 Mark(s)

Your Answer:

2 x 3 x 5 x 7 2 x 3 x 5 x 7
2 x 2 x 5 2 x 2 x 5
2 x 3 x 5 2 x 3 x 5
2 x 5 x 7 2 x 5 x 7

15.8-6.73 is equal to

1 Mark(s)

Your Answer:

A) 8.07 A) 8.07
B) 9.07 B) 9.07
C) 9.13 C) 9.13
D) 9.25 07 D) 9.25 07

Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?

1 Mark(s)

Your Answer:

425 425
476 476
450 450
350 350

If each side of a square is increased by 50% the ratio of the area of the resulting square to the area of the given square is__________?

1 Mark(s)

Your Answer:

5:4 5:4
9:4 9:4
4:5 4:5
4:9 4:9

A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?

1 Mark(s)

Your Answer:

45 hrs 45 hrs
60 hrs 60 hrs
75 hrs 75 hrs
90 hrs 90 hrs

If the radius of the sphere is doubled then it’s volume is increased by?

1 Mark(s)

Your Answer:

100 % 100 %
200 % 200 %
700 % 700 %
800 % 800 %

A room is 12 ¼ m long and 7w wide. The maximum length of a square tile to fill the floor of the room with whole number of it’s tiles should be_________?

1 Mark(s)

Your Answer:

200cm 200cm
175cm 175cm
125cm 125cm
150cm 150cm

A man donated 5 % of his income to a charitable organization and deposited 20 % of the remainder in a bank. If he now has Rs. 1919 left, what is his income?

1 Mark(s)

Your Answer:

Rs. 2558. 60 Rs. 2558. 60
Rs. 2525 Rs. 2525
Rs. 2500 Rs. 2500
Rs. 2300 Rs. 2300

A retailer buys a sewing machine at a discount of 15% and sells it for Rs. 1955. Thus, he makes a profit of 15%. The discount is:

1 Mark(s)

Your Answer:

Rs. 270 Rs. 270
Rs. 290 Rs. 290
Rs. 300 Rs. 300
None of these None of these

If two angles are said to be complementary angles and one of the angle is of 52° then the other angle is of:

1 Mark(s)

Your Answer:

100° 100°
68° 68°
128° 128°
38° 38°

If j = 3, then value of 5 j + 10 is

1 Mark(s)

Your Answer:

A) 15 A) 15
B) 25 B) 25
C) 65 C) 65
D) 30 D) 30

The number of distinct real roots of $\left|\begin{array}{ccc} \sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x \end{array}\right|=0$ in the interval $-\frac{\pi}{4} \leq x \leq \frac{\pi}{4}$ is

1 Mark(s)

Your Answer:

A) 0 A) 0
B) 2 B) 2
C) 1 C) 1
D) 3 D) 3

By adding two successive class limits and dividing the sum by 2, we obtained:

1 Mark(s)

Your Answer:

class boundary class boundary
arithmetic mean arithmetic mean
frequency frequency
range range

When the Price of fans was reduced by 20 %. The number of fans sold increased by 40 %. What was the effect on the sales of rupees?

1 Mark(s)

Your Answer:

12 % Increase 12 % Increase
12 % decrease 12 % decrease
30 % increase 30 % increase
40 % increase 40 % increase

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

1 Mark(s)

Your Answer:

1 : 3 1 : 3
2 : 3 2 : 3
3 : 4 3 : 4
4 : 5 4 : 5

Two trains of equal length are running on parallel tracks at \$46$ km/h and $36$ km/h. They cross each other in $36$ seconds when running in opposite directions. Find the time to cross when running in same direction.

1 Mark(s)

Your Answer:

280 seconds 280 seconds
295.2 seconds 295.2 seconds
300 seconds 300 seconds
320 seconds 320 seconds

Evaluating Your Answers

Algebra Mock Test 6 : Question 1 of 74