Algebra Mock Test 11 - Online MCQ Exam

Any two angles in the same segment of a circle are:

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Your Answer:

equal equal
not equal not equal
reflective reflective
opposite opposite

Generally the elements of a matrix are denoted by:

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Your Answer:

numbers numbers
capital letters capital letters
small letters small letters
both A and C both A and C

Haroon purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?

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Your Answer:

Rs. 14.80 Rs. 14.80
Rs. 15.40 Rs. 15.40
Rs. 15.60 Rs. 15.60
Rs. 16.30 Rs. 16.30
Rs. 18.20 Rs. 18.20

A sum of money becomes $₹7200$ in \$2$ years and $₹8640$ in \$3$ years at compound interest. Find the rate of interest.

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Your Answer:

0.15 0.15
0.18 0.18
0.2 0.2
0.22 0.22

The length of a rectangular plot is increased by 25%. To keep it’s area uncharged the width of the plot should be___________?

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Your Answer:

Kept unchanged Kept unchanged
Increased by 25% Increased by 25%
Increased by 20% Increased by 20%
Reduced by 20% Reduced by 20%

If U = {1,2,3,4,5} and A = {2,4} then A' should be:

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Your Answer:

{2,4,5} {2,4,5}
{2,4} {2,4}
{1,2,3,4,5} {1,2,3,4,5}
{1,3,5} {1,3,5}

Arrange the following expressions in descending (decreasing) order of their values:

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Your Answer:

A) 73 + 27 A) 73 + 27
B) 110 – 20 B) 110 – 20
C) 70 × 2 C) 70 × 2
D) 180 ÷ 3 D) 180 ÷ 3

How many shares of market value Rs. 25 each can be purchased for Rs. 12750, brokerage being 2% ?

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Your Answer:

450 450
500 500
550 550
600 600

Find the H.C.F of 204, 1190 and 1445?

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Your Answer:

34 34
17 17
85 85
204 204

Assertion (A) The sum of two numbers remains the same even if their order is changed. Reason (R) Addition follows the commutative property.

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Your Answer:

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

If each observation is multiplied by 3, the mean becomes

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Your Answer:

A) one-third A) one-third
B) same B) same
C) triple C) triple
D) double D) double

A car is running at a speed of 108 kmph. What distance will it cover in 15 seconds ?

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Your Answer:

45 metres 45 metres
55 metres 55 metres
450 metres 450 metres
Cannot be determined Cannot be determined

If $x - 14 = 31$, find $x$

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Your Answer:

43 43
44 44
46 46
45 45

A father left a will of Rs.35 lakhs between his two daughters aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.35 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?

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Your Answer:

17.5 lakhs 17.5 lakhs
21 lakhs 21 lakhs
15 lakhs 15 lakhs
20 lakhs 20 lakhs

A circle and a rectangle have the same perimeter. The sides of the rectangle are 18cm and 26cm.What is the area of the circle?

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Your Answer:

88cm2 88cm2
154cm2 154cm2
616cm2 616cm2
1250cm2 1250cm2

The kind of quadrilateral in which opposite pairs of the sides are parallel and equal is called:

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Your Answer:

parallelogram parallelogram
trapezium trapezium
triangle triangle
semi-circle semi-circle

The measure of a straight angle is

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Your Answer:

A) 90° A) 90°
B) 45°. B) 45°.
C) 180° C) 180°
D) 60° D) 60°

I. 9a2 + 18a + 5 = 0, II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b?

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Your Answer:

If a > b If a > b
If a ≥ b If a ≥ b
If a < b If a < b
If a ≤ b If a ≤ b

The 9th term of the GP 2, 2√2, 4, 8√2,… is

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Your Answer:

A) 16 A) 16
B) 64 B) 64
C) 32 C) 32
D) 128 D) 128

Find the value: $6^2$

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Your Answer:

30 30
32 32
34 34
36 36

The area of a rectangular sheet of paper is 20 cm2. Its length is 5 cm. Find its width.

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Your Answer:

A) 1 cm A) 1 cm
B) 2 cm B) 2 cm
C) 3 cm C) 3 cm
D) 4 cm. D) 4 cm.

A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?

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Your Answer:

11 11
30 30
14 14
20 20

If 2 sets A and B are given, then the set consisting of all the elements which are either in A or in B or in both is called:

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Your Answer:

Intersection of A and B Intersection of A and B
union of A and B union of A and B
Complement of A Complement of A
Complement of B Complement of B

If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is________?

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Your Answer:

650 m 650 m
600 m 600 m
200 m 200 m
300 m 300 m

A matrix with only 1 row is called:

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Your Answer:

column matrix column matrix
row matrix row matrix
identical matrix identical matrix
square matrix square matrix

Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).

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Your Answer:

A) 30 sq. units A) 30 sq. units
B) 35 sq. units B) 35 sq. units
C) 40 sq. units C) 40 sq. units
D) 15.5 sq. units 5 sq. units D) 15.5 sq. units 5 sq. units

Jameel gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Nasir gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?

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Your Answer:

19 19
28 28
30 30
37 37

By solving the equation 5z + 8 = 18, the value of z will be:

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Your Answer:

5 5
6 6
2 2
4 4

Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?

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Your Answer:

210 210
119 119
126 126
154 154

A coin is tossed once, then the probability of getting tail is:

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Your Answer:

A) 1 A) 1
B) $\frac{1}{2}$ B) $\frac{1}{2}$
C) 2 C) 2
D) $\frac{1}{3}$ (\frac{1}{2}\) D) $\frac{1}{3}$ (\frac{1}{2}\)

Danish his car at a speed of 120 kmph for the first 2 hours and then at a speed of 100 kmph for the next half an hour. Find the distance covered by him during the entire journey.

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Your Answer:

300 km 300 km
290 km 290 km
250 km 250 km
240 km 240 km

The mean of 10 observations is 25. If each observation is decreased by 5, the new mean is

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Your Answer:

A) 30 A) 30
B) 20 B) 20
C) 25 C) 25
D) 5 D) 5

The sum of \$96$ and \$78$ is:

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Your Answer:

170 170
172 172
176 176
174 174

Which of the following pairs fractions are not equivalent?

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Your Answer:

A) $\frac{1}{2}, \frac{2}{3}$ A) $\frac{1}{2}, \frac{2}{3}$
B) $\frac{4}{5}, \frac{12}{15}$ B) $\frac{4}{5}, \frac{12}{15}$
C) $\frac{6}{7}, \frac{12}{14}$ C) $\frac{6}{7}, \frac{12}{14}$
D) $\frac{4}{9}, \frac{36}{81}$ (\frac{1}{2}, \frac{2}{3}\)

The path described by any moving point is classified as:

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Your Answer:

ordinate ray ordinate ray
rays rays
line segment line segment
line line

One top can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?

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Your Answer:

5 Hours 5 Hours
6 Hours 6 Hours
7 Hours 7 Hours
8 Hours 8 Hours

Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?

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Your Answer:

18 hrs 18 hrs
16 hrs 16 hrs
15 hrs 15 hrs
12 hrs 12 hrs

The two angles of any triangle are 60° and 40°. Then, the value of third angle is

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Your Answer:

A) 40° A) 40°
B) 60° B) 60°
C) 80° C) 80°
D) 50° D) 50°

What will be the common difference of the sequence 5, 8, 11, 14, …?

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Your Answer:

3 3
4 4
1 1
0 0

A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is_____________?

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Your Answer:

48 runs 48 runs
52 runs 52 runs
55 runs 55 runs
60 runs 60 runs

The angle of rotation in equilateral triangle is

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Your Answer:

A) 60° A) 60°
B) 70° B) 70°
C) 90° C) 90°
D) 120° D) 120°

In the given figure, PQ and RS are parallel lines. If ∠1=(2 a+b)° and ∠6=(3 a-b)°, then the measure of ∠2 in terms of bis

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Your Answer:

A) (2+b)° A) (2+b)°
B) (3-b)° B) (3-b)°
C) (108-b)° C) (108-b)°
D) (180-b)° (108-b)° D) (180-b)° (108-b)°

Angles that sum up to 180° are known as:

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Your Answer:

complementary angles complementary angles
reflective angles reflective angles
supplementary angles supplementary angles
vertical angles vertical angles

If a baker bakes 50 chocolate cakes and sold only 35 cakes then the percentage of sold cakes is:

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Your Answer:

80% 80%
70% 70%
85% 85%
75% 75%

The sum of \$38$ and \$47$ is:

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Your Answer:

80 80
83 83
85 85
88 88

A women is 4 times as old as her daughter. In 12 years time, the sum of their ages will be 89. The age of women when her daughter was born is:

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Your Answer:

35 years 35 years
43 years 43 years
39 years 39 years
41 years 41 years

In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?

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Your Answer:

70% 70%
37% 37%
53% 53%
30% 30%

A+B = B+A is a true or false statement if the order of A matrix and B matrix is the same.

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Your Answer:

False False
True True

A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:

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Your Answer:

gains Rs. 55 gains Rs. 55
gains Rs. 50 gains Rs. 50
loses Rs. 30 loses Rs. 30
gains Rs. 30 gains Rs. 30

A person bought an article and sold it at a loss of 10 % if he had bought it for 20 % less and sold it for Rs. 55 more he would have had a profit of 40 %. The C.P of the article is:

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Your Answer:

Rs. 200 Rs. 200
Rs. 225 Rs. 225
Rs. 250 Rs. 250
None of these None of these

What is \$55\%$ of \$100$?

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Your Answer:

55 55
50 50
60 60
65 65

A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 lit. a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs. The capacity of the tank in liters is_________?

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Your Answer:

5,750 litres 5,750 litres
5,760 litres 5,760 litres
6,890 litres 6,890 litres
None of these None of these

Manish read $\frac{5}{6}$ part of a book. Preeti read $\frac{1}{6}$ part of that book. What more part was read by Manish?

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Your Answer:

A) $\frac{2}{3}$ A) $\frac{2}{3}$
B) $\frac{1}{6}$ B) $\frac{1}{6}$
C) $\frac{5}{6}$ C) $\frac{5}{6}$
D) None of these (\frac{2}{3}\) D) None of these (\frac{2}{3}\)

P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?

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Your Answer:

7 7
8 8
9 9
10 10

The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ .

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Your Answer:

149 149
151 151
152 152
153 153

A swimming bath is 24 m long and 15 m broad. When a number of men drive into the bath. The height of water rises by 1cm. If the average volume of water displaced by each man be 0.1m3 how many mean are there in the both?

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Your Answer:

32 32
36 36
42 42
46 46

The round off value of 38.23 to the nearest whole number is:

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Your Answer:

40 40
37 37
38 38
39 39

A cistern can be filled by three pipes in \$6$, \$8$, and \$12$ hours. All three are opened for \$2$ hours, then the first is closed. In how many more hours will the cistern be filled?

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Your Answer:

1 hour 1 hour
1.2 hours 1.2 hours
1.5 hours 1.5 hours
2 hours 2 hours

Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is_________?

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Your Answer:

10/17 10/17
10/19 10/19
46/105 46/105
Cannot be determined Cannot be determined

P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in________days

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Your Answer:

1 1
2 2
3 3
4 4

By solving the inequality 4.5a < 18, the answer will be:

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Your Answer:

a < 8 a < 8
a < 10 a < 10
a < 4 a < 4
a < 11 a < 11

Rayan invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Rayan’s investments if the interests from those investments are equal?

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Your Answer:

4 : 3 4 : 3
3 : 2 3 : 2
6 : 5 6 : 5
7 : 6 7 : 6
None of these None of these

The equation 2cos -1 x + sin -1 x = $\frac{11 \pi}{6}$ has

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Your Answer:

A) no solution A) no solution
B) only one solution B) only one solution
C) two solutions C) two solutions
D) three solutions D) three solutions

A man rows at a speed of 6 km/hr in still water. If the time taken to row a certain distance upstream is 4 times the time taken to row the same distance downstream, what is the speed of the river?

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Your Answer:

1.8 km/hr 1.8 km/hr
3 km/hr 3 km/hr
3.6 km/hr 3.6 km/hr
4 km/hr 4 km/hr

The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is________?

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Your Answer:

1994 1994
1494 1494
1349 1349
1496 1496

Evaluating Your Answers

Algebra Mock Test 11 : Question 1 of 65