Statistics Mock Test 1 - Online MCQ Exam

The sum of two numbers is \$50$ and their difference is \$10$. Find the larger number.

1 Mark(s)

Your Answer:

28 28
30 30
32 32
35 35

By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?

1 Mark(s)

Your Answer:

33 1/3% 33 1/3%
50% 50%
25% 25%
66 2/3% 66 2/3%
None of these None of these

An integer with positive sign(+) is always greater than

1 Mark(s)

Your Answer:

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

The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.

1 Mark(s)

Your Answer:

4000 4000
2160 2160
4320 4320
5300 5300

What is \$25\%$ as a decimal?

1 Mark(s)

Your Answer:

0.2 0.2
0.25 0.25
0.3 0.3
0.35 0.35

The base of a triangle is 20 cm, and its height is 12 cm. Find its area.

1 Mark(s)

Your Answer:

A) 120 cm 2 A) 120 cm 2
B) 200 cm 2 B) 200 cm 2
C) 240 cm 2 C) 240 cm 2
D) 100 cm 2 D) 100 cm 2

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

1 Mark(s)

Your Answer:

3 3
4 4
5 5
6 6

If A 2 – A + I = O, then the inverse of A is

1 Mark(s)

Your Answer:

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

According to a recipe, 400 grams of flour should be mixed with 500 grams of sugar to bake cookies. If I have only 300 grams of flour, how much sugar should I mix to maintain the same proportion?

1 Mark(s)

Your Answer:

360 360
380 380
375 375
400 400

Let R be the relation “is congruent to” on the set of all triangles in a plane is

1 Mark(s)

Your Answer:

A) reflexive A) reflexive
B) symmetric B) symmetric
C) symmetric and reflexive C) symmetric and reflexive
D) equivalence D) equivalence

The probability of even/odd numbers when a fair die is rolled is____________?

1 Mark(s)

Your Answer:

1/6 1/6
2/6 2/6
1/36 1/36
3/6 3/6

When the product of two surds is rational, then each one of them is called the:

1 Mark(s)

Your Answer:

prime factor of each other prime factor of each other
irrationalizing factor of each other irrationalizing factor of each other
rationalizing factor of each other rationalizing factor of each other
binomial factor of each other binomial factor of each other

If 5 dice are rolled 96 times then N. =___________?

1 Mark(s)

Your Answer:

5 5
96 96
5/96 5/96
96/5 96/5

There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?

1 Mark(s)

Your Answer:

17 17
29 29
23 23
31 31

One root of the quadratic equation x2 – 12x + a = 0, is thrice the other. Find the value of a?

1 Mark(s)

Your Answer:

29 29
27 27
28 28
7 7

Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

1 Mark(s)

Your Answer:

Rs. 10 Rs. 10
Rs. 10.40 Rs. 10.40
Rs. 15.20 Rs. 15.20
Rs. 13 Rs. 13

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$\frac {1}{3}$%

If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?

1 Mark(s)

Your Answer:

30% 30%
33% 33%
33 1/3% 33 1/3%
35% 35%

The successive trials are with replacement in:________________?

1 Mark(s)

Your Answer:

Hpergeometric distribution Hpergeometric distribution
Binomial distribution Binomial distribution
Geometric distribution Geometric distribution
None of these None of these

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.75 less, he could have gained 25%. What is the cost price?

1 Mark(s)

Your Answer:

Rs.250 Rs.250
Rs.225 Rs.225
Rs.275 Rs.275
Rs.200 Rs.200

If 30% of a number exceeds 20% of it by 18, then find the number?

1 Mark(s)

Your Answer:

120 120
200 200
180 180
150 150
None of these None of these

Which of the following is not based on all the observations ?

1 Mark(s)

Your Answer:

Arithmetic Mean Arithmetic Mean
Geometric Mean Geometric Mean
Harmonic Mean Harmonic Mean
Weighted Mean Weighted Mean
Mode Mode

What smallest number should be subtracted from 9805 so that it is divisible by 8?

1 Mark(s)

Your Answer:

6 6
7 7
5 5
8 8

What is $\frac{5}{6} + \frac{1}{6}$?

1 Mark(s)

Your Answer:

1 1
$\frac{5}{6}$ $\frac{5}{6}$
$\frac{7}{6}$ $\frac{7}{6}$
$\frac{2}{3}$ $\frac{2}{3}$

The algebraic sum of deviations from mean is_____________?

1 Mark(s)

Your Answer:

Maximum Maximum
Zero Zero
Minimum Minimum
Undefined Undefined

A mixture of \$80$ liters contains milk and water in ratio \$5:3$. How much water should be added to make the ratio \$1:1$?

1 Mark(s)

Your Answer:

20 liters 20 liters
22 liters 22 liters
25 liters 25 liters
18 liters 18 liters

If x = 0 then | x | is equal to:

1 Mark(s)

Your Answer:

x x
0 0
1 1
−x −x

If $\frac{a}{b} = \frac{2}{3}$, $\frac{b}{c} = \frac{4}{5}$, and $\frac{c}{d} = \frac{6}{7}$, find $\frac{a}{d}$

1 Mark(s)

Your Answer:

$\frac{12}{35}$ $\frac{12}{35}$
$\frac{14}{35}$ $\frac{14}{35}$
$\frac{15}{35}$ $\frac{15}{35}$
$\frac{16}{35}$ $\frac{16}{35}$

Which of the following experiments is not a random experiment?

1 Mark(s)

Your Answer:

A) Rolling a 6 – sided die A) Rolling a 6 – sided die
B) Tossing a fair coin once B) Tossing a fair coin once
C) A driver attempts to start a car. The car starts or does not start
D) A baby is born. It is a boy or a girl. The car starts or does not start

The perimeter of a triangle is 81 cm. If the sides are in the ratio 4:3:2, find the length of the largest side.

1 Mark(s)

Your Answer:

45 cm 45 cm
40 cm 40 cm
36 cm 36 cm
27 cm 27 cm

For an experiment in Botany, two different plants, plant A and plant B, were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.

1 Mark(s)

Your Answer:

A) How high was Plant A after (i) 2 weeks, (ii) 3 weeks?
B) How high was Plant B after (i) 2 weeks, (ii) 3 weeks?
C) How much did Plant A grow during the 3rd week?
D) How much did Plant B grow from the end of the 2nd week to the end of the 3rd week? (e) During which week did Plant A grow the most? (f) During which week did Plant B grow the least? (g) Were the two plants of the same height during any week shown here? Specify. (i) 7 cm (ii) 9 cm

Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days?

1 Mark(s)

Your Answer:

Rs.1104 Rs.1104
Rs.1000 Rs.1000
Rs.934 Rs.934
Rs.1210 Rs.1210

A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx – 2y + 3z = 0 is given by x : y : z =

1 Mark(s)

Your Answer:

A) 1 : 2 : -2 A) 1 : 2 : -2
B) 1 : -2 : 2 B) 1 : -2 : 2
C) 2 : 1 : 2 C) 2 : 1 : 2
D) 2 : 1 : -2 D) 2 : 1 : -2

If a matrix ‘A’ has ‘m’ number of columns and ‘n’ number of rows then m × n is said to be:

1 Mark(s)

Your Answer:

transpose of a matrix transpose of a matrix
order of a matrix order of a matrix
determinant of a matrix determinant of a matrix
equality of a matrix equality of a matrix

A question paper had 10 questions. Each question could only be answered as true(T) of False(F). Each candidate answered all the questions, Yet no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?

1 Mark(s)

Your Answer:

20 20
40 40
512 512
1024 1024

If $\log_{10} 2 = 0.301$, find $\log_{10} 200$

1 Mark(s)

Your Answer:

2.201 2.201
2.301 2.301
2.401 2.401
2.501 2.501

The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?

1 Mark(s)

Your Answer:

30% 30%
25 1/13 % 25 1/13 %
23 1/13 % 23 1/13 %
22 1/13 % 22 1/13 %

By evaluating (10.45 x 14.2)⁄52.2, the resultant value with four significant figures is:

1 Mark(s)

Your Answer:

0.0008 0.0008
2.842 2.842
0.0002 0.0002
0.0842 0.0842

The measure of a straight angle is

1 Mark(s)

Your Answer:

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

The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?

1 Mark(s)

Your Answer:

450 m3 450 m3
100 m2 100 m2
60 m3 60 m3
400 m3 400 m3

The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.

1 Mark(s)

Your Answer:

4192 sq m 4192 sq m
4304 sq m 4304 sq m
4312 sq m 4312 sq m
4360 sq m 4360 sq m

In 30 balls, a batsman hits the boundaries 6 times. What will be the probability that he did not hit the boundaries?

1 Mark(s)

Your Answer:

1/5 1/5
4/5 4/5
3/5 3/5
None of the above None of the above

The symbols , ≤, ≥ are called:

1 Mark(s)

Your Answer:

equality symbols equality symbols
inequalities symbols inequalities symbols
operational signs operational signs
radical signs radical signs

96% of the population of a village is 23040. The total population of the village is________?

1 Mark(s)

Your Answer:

32256 32256
24000 24000
24936 24936
25640 25640

The ratio which is not proportional to 9 :13, is

1 Mark(s)

Your Answer:

A) 108: 156 A) 108: 156
B) 117: 169 B) 117: 169
C) 126: 195 C) 126: 195
D) 81: 117 D) 81: 117

The altitude of an equilateral triangle of side 2√3 cm is_________?

1 Mark(s)

Your Answer:

3/2 cm 3/2 cm
1/2 cm 1/2 cm
3/4 cm 3/4 cm
3 cm 3 cm

A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?

1 Mark(s)

Your Answer:

63 63
511 511
1023 1023
15 15

If the value of tan2 θ + tan4 θ = 1, what will be the value of cos2 θ + cos4 θ?

1 Mark(s)

Your Answer:

4 4
1 1
-2 -2
-1 -1

If the selling price for laptop is $1100 and is marked down by 30% in promotional offers then sale price after discount is:

1 Mark(s)

Your Answer:

$820 $820
$790 $790
$770 $770
$870 $870

A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?

1 Mark(s)

Your Answer:

Rs.1000 Rs.1000
Rs.1140 Rs.1140
Rs.860 Rs.860
Rs.760 Rs.760

If n(U)=60, n(A)= 35, n(B)=24, and n(AUB)’=10 then n(A∩B) is ____________?

1 Mark(s)

Your Answer:

10 10
8 8
9 9
None of These None of These

In the following sequence 2, 6, 10, 14, 18, the next three numbers are:

1 Mark(s)

Your Answer:

22, 26, 30 22, 26, 30
24, 28, 32 24, 28, 32
26, 32, 38 26, 32, 38
22, 30, 40 22, 30, 40

If $20x = 260$, find $x$

1 Mark(s)

Your Answer:

11 11
12 12
14 14
13 13

A man sells a car to his friend at 10 % loss. If the friend sells it for Rs. 54000 and gains 20 %. The original C.P of the car was:_________?

1 Mark(s)

Your Answer:

Rs. 25000 Rs. 25000
Rs. 37500 Rs. 37500
Rs. 50000 Rs. 50000
Rs. 60000 Rs. 60000

The edges of a cuboid are in the ratio 1 : 2 : 3 and its sunface area is 88 cm2. The volume of the cuboid is :_________?

1 Mark(s)

Your Answer:

24 cm3 24 cm3
48 cm3 48 cm3
64 cm3 64 cm3
120 cm3 120 cm3

A person travels $\frac{2}{5}$ of the distance at \$30$ km/h, $\frac{1}{3}$ at \$40$ km/h, and remaining at $50$ km/h. Find the average speed.

1 Mark(s)

Your Answer:

37.04 km/h 37.04 km/h
38.5 km/h 38.5 km/h
40 km/h 40 km/h
42 km/h 42 km/h

A dice is thrown loo times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table: Find the probability of outcome 1

1 Mark(s)

Your Answer:

A) $\frac{1}{10}$ A) $\frac{1}{10}$
B) $\frac{1}{5}$ B) $\frac{1}{5}$
C) $\frac{1}{4}$ C) $\frac{1}{4}$
D) $\frac{1}{2}$ (\frac{1}{10}\) D) $\frac{1}{2}$ (\frac{1}{10}\)

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

1 Mark(s)

Your Answer:

7 liters 7 liters
15 liters 15 liters
10 liters 10 liters
9 liters 9 liters

In the given figure, if point A is shifted to point B along the ray PX such that PB = 2 PA, then the measure of ZBPY is

1 Mark(s)

Your Answer:

A) greater than 45° A) greater than 45°
B) 45° B) 45°
C) less than 45° C) less than 45°
D) 90° D) 90°

When a circle is drawn through its four vertices, a quadrilateral is said to be:

1 Mark(s)

Your Answer:

non-cyclic non-cyclic
cyclic cyclic
collinear collinear
non-collinear non-collinear

The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?

1 Mark(s)

Your Answer:

30 π cc 30 π cc
45 π cc 45 π cc
150 π cc 150 π cc
180 π cc 180 π cc

If $x + 12 = 30$, find $x$

1 Mark(s)

Your Answer:

15 15
16 16
20 20
18 18

The frequent value of the data if it exists is called ________________?

1 Mark(s)

Your Answer:

Median Median
Quartiles Quartiles
Mode Mode
Deciles Deciles

Every rational number is:

1 Mark(s)

Your Answer:

A) a natural number A) a natural number
B) an integer B) an integer
C) a real number C) a real number
D) a whole number D) a whole number

The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.

1 Mark(s)

Your Answer:

20 20
15 15
25 25
35 35

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?

1 Mark(s)

Your Answer:

3.46% 3.46%
4.5% 4.5%
5% 5%
6% 6%

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?

1 Mark(s)

Your Answer:

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

25 2/5 + 8 4/5 + 4/5 = _________?

1 Mark(s)

Your Answer:

34 34
35 35
36 36
37 37

The parity of number 5053 is

1 Mark(s)

Your Answer:

A) odd A) odd
B) even B) even
C) sometimes odd, sometimes even C) sometimes odd, sometimes even
D) None of the above D) None of the above

Area of a triangle is equal to

1 Mark(s)

Your Answer:

A) $\frac{1}{2}$ × Base × Corresponding altitude
B) $\frac{1}{4}$ × Base × Corresponding altitude
C) $\frac{1}{3}$ × Base × Corresponding altitude
D) Base × Corresponding altitude (\frac{1}{2}\) × Base × Corresponding altitude

P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?

1 Mark(s)

Your Answer:

8 8
6 6
4 4
2 2

The decimal form of $\frac{56}{1000}$ is:

1 Mark(s)

Your Answer:

A) 0.56 A) 0.56
B) 0.056 B) 0.056
C) 0.0056 C) 0.0056
D) 5.6 056 D) 5.6 056

If the water flows from a pipe with height of 5m and diameter of 86mm at rate of 6m/s then the volume of water discharged per minute is:

1 Mark(s)

Your Answer:

1942.867 liters 1942.867 liters
2742.867 liters 2742.867 liters
1800 liters 1800 liters
1742.867 liters 1742.867 liters

Evaluating Your Answers

Statistics Mock Test 1 : Question 1 of 73