Statistics Mock Test 14 - Online MCQ Exam

Non-random sampling is also called___________________?

1 Mark(s)

Your Answer:

Biased sampling Biased sampling
Non-prob.sampling Non-prob.sampling
Less than sampling Less than sampling
Representative sampling Representative sampling

5 % of the income of A is equal to 15 % of the income of B and 10 % of the income of B is equal to 20 % of the income of c. If the income of C is Rs. 2000. What is the total income of A, B and C?

1 Mark(s)

Your Answer:

Rs. 14000 Rs. 14000
Rs 16000 Rs 16000
Rs. 18000 Rs. 18000
Rs. 12400 Rs. 12400

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%

A boat travels \$30$ km upstream in \$6$ hours and returns downstream in \$3$ hours. Find the speed of the stream.

1 Mark(s)

Your Answer:

2 km/h 2 km/h
2.25 km/h 2.25 km/h
2.5 km/h 2.5 km/h
3 km/h 3 km/h

9000 + 16 2/3 % of ? = 10500

1 Mark(s)

Your Answer:

1500 1500
1750 1750
9000 9000
7500 7500

By solving the inequality 1⁄3x > 6, the answer will be:

1 Mark(s)

Your Answer:

x > 20 x > 20
x > 18 x > 18
x > 22 x > 22
x > 25 x > 25

Who is known as the Father of Calculus?

1 Mark(s)

Your Answer:

Isaac Newton Isaac Newton
Herodotus Herodotus
Aristotle Aristotle
Al-Khwarizmi Al-Khwarizmi

Ameen started a business investing Rs. 70,000. Rahim joined him after six months with an amount of Rs. 1,05,000 and sameer joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Ameen, Rahim and Sameer respectively, 3 years after Ameen started the business?

1 Mark(s)

Your Answer:

7:6:10 7:6:10
12:15:16 12:15:16
42:45:56 42:45:56
Cannot be determined Cannot be determined
None of these None of these

What will be the value of x3 + y3 + z3, if x + y + z = 0?

1 Mark(s)

Your Answer:

3xyz 3xyz
2xyz 2xyz
xyz xyz
xyz(xy + yz + zx) xyz(xy + yz + zx)

If At = −A then A is said to be:

1 Mark(s)

Your Answer:

square matrix square matrix
skew symmetric skew symmetric
transpose transpose
symmetric symmetric

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

1 Mark(s)

Your Answer:

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

The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

1 Mark(s)

Your Answer:

8 8
10 10
12 12
Cannot be determined Cannot be determined

If 2 + 4 + 6 = 12 then 4 + 6 + 2 is equal to:

1 Mark(s)

Your Answer:

12 12
14 14
10 10
all of the above all of the above

Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?

1 Mark(s)

Your Answer:

1 hr 42 min 1 hr 42 min
1 hr 1 hr
2 hr 2 hr
1 hr 12 min 1 hr 12 min

By solving ( -72 ⁄ -8 ) + ( -3 x -9 ) + (-4) +2, you will get:

1 Mark(s)

Your Answer:

34 34
−34 −34
24 24
−24 −24

In testing for the difference between two populations, it is possible to use____________?

1 Mark(s)

Your Answer:

The Wilcoxon Rank-Sum test The Wilcoxon Rank-Sum test
The Sign test The Sign test
None of the above None of the above
Either of the above Either of the above

The portion of a circle bounded by an arc and a corresponding chord is called:

1 Mark(s)

Your Answer:

quadrants quadrants
segment segment
diameter diameter
sector sector

An increment of 6% is offered to employees in the company. If monthly salary of Mary after increment is $1860 then her original monthly salary before income is:

1 Mark(s)

Your Answer:

$1,557 $1,557
$1,875 $1,875
$1,755 $1,755
$1,785 $1,785

After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?

1 Mark(s)

Your Answer:

38 liters 38 liters
40 liters 40 liters
38.5 liters 38.5 liters
2 liters 2 liters

A sampling distribution is the probability distribution for which one of the following___________?

1 Mark(s)

Your Answer:

A sample A sample
A sample statistic A sample statistic
A population A population
A population parameter A population parameter

A rectangle has 15 cm as its length and 159 cm² as its area. Its area is increased to 1 1/3 times the original area by increasing only its length its new perimeter is:_________?

1 Mark(s)

Your Answer:

50 cm 50 cm
60 cm 60 cm
70 cm 70 cm
80 cm 80 cm

An unbiased 6-sided die is rolled. The probability of getting a prime number is:

1 Mark(s)

Your Answer:

A) $\frac{1}{2}$ A) $\frac{1}{2}$
B) $\frac{1}{3}$ B) $\frac{1}{3}$
C) $\frac{2}{3}$ C) $\frac{2}{3}$
D) $\frac{1}{6}$ (\frac{1}{2}\) D) $\frac{1}{6}$ (\frac{1}{2}\)

The area of a square with side \$13$ cm is:

1 Mark(s)

Your Answer:

156 cm² 156 cm²
160 cm² 160 cm²
165 cm² 165 cm²
169 cm² 169 cm²

Area to the right of (z=0) is the area for ____ values of z?

1 Mark(s)

Your Answer:

Zero Zero
Negative Negative
Positive Positive
None of these None of these

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%

How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?

1 Mark(s)

Your Answer:

360 360
60 60
300 300
180 180

Simplify: $\frac{20}{25}$

1 Mark(s)

Your Answer:

$\frac{3}{5}$ $\frac{3}{5}$
$\frac{4}{5}$ $\frac{4}{5}$
$\frac{5}{6}$ $\frac{5}{6}$
$\frac{2}{3}$ $\frac{2}{3}$

A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:________?

1 Mark(s)

Your Answer:

Rs. 110 Rs. 110
Rs. 120 Rs. 120
Rs. 125 Rs. 125
Rs. 150 Rs. 150

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80, after getting two successive discounts, the first 10%. What was the second discount rate ?

1 Mark(s)

Your Answer:

12% 12%
14% 14%
15% 15%
18% 18%

Amulya and Amar visited two places A and B, respectively in Kashmir and recorded the minimum temperatures on a particular day as – 4° C at A and -1°C at B. Which of the following statements is true?

1 Mark(s)

Your Answer:

A) A is cooler than B. A) A is cooler than B.
B) B is cooler than A. B) B is cooler than A.
C) There is a difference of 2°C in the temperature.
D) The temperature at A is 4°C higher than that at B.

If $\log_{10} 2 = 0.3010$, find the number of zeros after decimal in $(\frac{1}{2})^{10}$

1 Mark(s)

Your Answer:

2 2
3 3
4 4
5 5

Three or more points lying on the same line are known as:

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Your Answer:

non-collinear points non-collinear points
center points center points
collinear points collinear points
fixed points fixed points

A number is increased by \$20\%$ and then decreased by \$20\%$. Find the net percentage change.

1 Mark(s)

Your Answer:

4% decrease 4% decrease
5% decrease 5% decrease
No change No change
4% increase 4% increase

Considering the formulae z = (x + y)⁄2, then if x = 10 and y = 12 the value of 'z' will be:

1 Mark(s)

Your Answer:

11 11
22 22
20 20
16 16

The value of polynomial 6a2 + 7a – 3 when a = 1 is :

1 Mark(s)

Your Answer:

A) 10 A) 10
B) 4 B) 4
C) -13 C) -13
D) -4 D) -4

At any army camp the provisions were stored for 40 days but ten days after the no. of soldiers become double. Now the food lasts for x days. What is x?

1 Mark(s)

Your Answer:

30 30
40 40
50 50
15 15

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?

1 Mark(s)

Your Answer:

11 11
30 30
14 14
20 20

Cotθ equals to:

1 Mark(s)

Your Answer:

1 ⁄ cosecθ 1 ⁄ cosecθ
1 ⁄ secθ 1 ⁄ secθ
1 ⁄ cosθ 1 ⁄ cosθ
1 ⁄ tanθ 1 ⁄ tanθ

Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?

1 Mark(s)

Your Answer:

3 3
4 4
5 5
6 6

Which of the following Measure of averages is affected by extreme (very small or very largE. values in data set?

1 Mark(s)

Your Answer:

Geometric Mean Geometric Mean
Median Median
Arithmetic Mean Arithmetic Mean
Harmonic Mean Harmonic Mean
Mode Mode

The Highest Common Factor of given numbers 72 and 56 is:

1 Mark(s)

Your Answer:

7 7
3 3
2 2
8 8

In Chain base method, the base period is ________________?

1 Mark(s)

Your Answer:

Fixed Fixed
Constant Constant
Change Change
None of these None of these

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?

1 Mark(s)

Your Answer:

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

The value of painting appreciates each year by 20% of its value at the beginning of year 2014. If painting costs $220,000 in Jan 2014 then the value of painting at the end of 2015 is:

1 Mark(s)

Your Answer:

$318,600 $318,600
$315,600 $315,600
$325,600 $325,600
$316,800 $316,800

Second moment about mean is_______________?

1 Mark(s)

Your Answer:

Standard Deviation Standard Deviation
Variance Variance
Coefficient of Variation Coefficient of Variation
None of these None of these

A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?

1 Mark(s)

Your Answer:

300 300
600 600
750 750
900 900

What is \$84\%$ of \$175$?

1 Mark(s)

Your Answer:

140 140
147 147
154 154
161 161

If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is:

1 Mark(s)

Your Answer:

25% 25%
33 1/3 % 33 1/3 %
50% 50%
66 2/3 % 66 2/3 %

Correlation coefficient is ___________ with respect to x and y?

1 Mark(s)

Your Answer:

+vely +vely
Non-normal Non-normal
Symmetrical Symmetrical
Skewed Skewed

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

By solving -2 + 8 + ( -24 ⁄ -2), the answer is:

1 Mark(s)

Your Answer:

−18 −18
18 18
−12 −12
12 12

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

1 Mark(s)

Your Answer:

False False
True True

The stub is the containing__________________?

1 Mark(s)

Your Answer:

Box head Box head
Column captions Column captions
Caption Caption
Row caption Row caption

If the occurrence of excludes the occurrence of the other is called ________________?

1 Mark(s)

Your Answer:

Mutually exclusive Mutually exclusive
Exchaustive Exchaustive
Likely Likely
Probability Probability

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 sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?

1 Mark(s)

Your Answer:

1500 1500
1800 1800
2100 2100
1950 1950

Find the average of \$70, 75, 80, 85$

1 Mark(s)

Your Answer:

75 75
76 76
77.5 77.5
79 79

What is $\frac{25}{34} - \frac{20}{34}$?

1 Mark(s)

Your Answer:

$\frac{4}{34}$ $\frac{4}{34}$
$\frac{5}{34}$ $\frac{5}{34}$
$\frac{6}{34}$ $\frac{6}{34}$
$\frac{1}{7}$ $\frac{1}{7}$

Write in Roman numerals

1 Mark(s)

Your Answer:

A) 63 A) 63
B) 91 B) 91
C) 315 C) 315
D) 427 D) 427

The integer ‘5 units to the right of 0 on the number line is

1 Mark(s)

Your Answer:

A) +5 A) +5
B) -5 B) -5
C) +4 C) +4
D) -4 D) -4

Mean of the binomial distribution is ______________?

1 Mark(s)

Your Answer:

Pq Pq
nP nP
xm xm
Non of these Non of these

In an ordered pair of Cartesian plane (a, b), the 'b' is known as:

1 Mark(s)

Your Answer:

x-coordinate x-coordinate
y-coordinate y-coordinate
abscissa abscissa
none of the above none of the above

The distance between the point (x 1 , y 1 ) and (x 2 , y 2 ) is

1 Mark(s)

Your Answer:

A) $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$
B) $\sqrt{\left(x_2+x_1\right)^2+\left(y_2-y_1\right)^2}$
C) $\sqrt{\left(x_2-x_1\right)^2+\left(y_2+y_1\right)^2}$
D) $\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}$ (\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?

1 Mark(s)

Your Answer:

20% 20%
28% 28%
33 1/3 % 33 1/3 %
35 2/7 % 35 2/7 %

Data published by Bureau of statistics in its publications are _______________?

1 Mark(s)

Your Answer:

Secondary data Secondary data
Discrete data Discrete data
Continuous data Continuous data
None None

The LCM of \$24$ and \$36$ is:

1 Mark(s)

Your Answer:

48 48
60 60
72 72
96 96

A random variable is ____________ ?

1 Mark(s)

Your Answer:

Not a function Not a function
A continuous variable A continuous variable
A function A function
None of these None of these

The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base ?

1 Mark(s)

Your Answer:

1.4 m 1.4 m
2.8 m 2.8 m
14 m 14 m
None of these None of these

A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?

1 Mark(s)

Your Answer:

4 1/3 hrs 4 1/3 hrs
7 hrs 7 hrs
8 hrs 8 hrs
14 hrs 14 hrs

Which of the following lies to the south of India?

1 Mark(s)

Your Answer:

A) The Himalayas A) The Himalayas
B) The Indian Ocean B) The Indian Ocean
C) The Deserts C) The Deserts
D) The Ganges (A) and Reason (R). Choose your answer as per the options given below:

Evaluating Your Answers

Statistics Mock Test 14 : Question 1 of 70