Statistics Mock Test 10 - Online MCQ Exam

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

What is the common difference of the AP a – b, a, a + b, ?

1 Mark(s)

Your Answer:

A) a A) a
B) b B) b
C) a – b C) a – b
D) a + b D) a + b

Out of 12 × 8 + 4, 12 + 4 × 8, 12 × 4 × 8 and 12 + 4 + 8, the expression with the greatest value is

1 Mark(s)

Your Answer:

A) 12 × 4 × 8 A) 12 × 4 × 8
B) 12 + 4 + 8 B) 12 + 4 + 8
C) 12 + 4 × 8 C) 12 + 4 × 8
D) 12 × 8 + 4 D) 12 × 8 + 4

An irrational number that contains a radical sign is known as:

1 Mark(s)

Your Answer:

fraction fraction
mode mode
surd surd
variable variable

Assertion (A) A page is 25 cm long and 20 cm wide. The area of this page is 90 cm. Reason (R) The amount of surface enclosed by a closed figure is called its area.

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 Perimeter of the shaded portion in figure is AB + … +.. + … + … + … + .. + HA Answer: BM+MD+DE + EN + NG+GH 2. Diagonal of a rectangle divides the rectangle in two __ parts. Answer: Equal 3. In the given figure, the area of ΔDAS is the __ of the area of rectangle ABCD. Answer: Half 4. The amount of region enclosed by a plane closed 1 figure is called its __ Answer: Area 5. The area of a play ground is 1190 m². If its length is 35 m, the width is __ Answer: 34 m True/False 1. If l and b are the length and width of a rectangle respectively, then the perimeter of rectangle is (l + b). Answer: False 2. The perimeter of a square is 4 times of its side. Answer: True 3. A farmer who wants to fence his field, must find the perimeter Of the field. Answer: True 4. If length of a rectangle is halved and breadth is doubled, then the area of the rectangle obtained remains same. Answer: True 5. Area of a square is doubled, if the side of the square is doubled. Answer: False Match the Columns

Which of the following cannot be a perfect square?

1 Mark(s)

Your Answer:

A) 841 A) 841
B) 529 B) 529
C) 198 C) 198
D) All of these D) All of these

Which of the following is not a requirement for binomial distribution ?

1 Mark(s)

Your Answer:

Constant Probability of Success Constant Probability of Success
Only two possible outcomes Only two possible outcomes
A fixed number of trials A fixed number of trials
Equally likely outcomes Equally likely outcomes

A person sells an article at $₹1200$ gaining \$20\%$. Find the cost price.

1 Mark(s)

Your Answer:

₹900 ₹900
₹950 ₹950
₹1000 ₹1000
₹1050 ₹1050

Statistics laws are true for______________?

1 Mark(s)

Your Answer:

Short run Short run
Long run Long run
Medium period Medium period
None of these None of these

A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?

1 Mark(s)

Your Answer:

Rs.700 Rs.700
Rs.1200 Rs.1200
Rs.1400 Rs.1400
Rs.1500 Rs.1500

By rotating a ray from one position to another to make an angle, the final position is called:

1 Mark(s)

Your Answer:

vertex vertex
initial side initial side
terminal side terminal side
point of intersection point of intersection

The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)

1 Mark(s)

Your Answer:

Rs.20043.94 Rs.20043.94
Rs.18654.81 Rs.18654.81
Rs.20264.46 Rs.20264.46
Rs.19612.41 Rs.19612.41
None of these None of these

A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?

1 Mark(s)

Your Answer:

20/6 hours 20/6 hours
27/2 hours 27/2 hours
30 hours 30 hours
30/13 hours 30/13 hours

A reduction of 20% in the price of salt enables a lady to obtain 10 kgs more for Rs.100, find the original price per kg?

1 Mark(s)

Your Answer:

2 3/2 2 3/2
2 2/3 2 2/3
2.5 2.5
3 3

By solving equation 6(9.3 - 3x) = 28x, the value of 'x' will be:

1 Mark(s)

Your Answer:

1.213 1.213
3.213 3.213
4.213 4.213
5.213 5.213

In a bag, there are 5 red balls and 7 green balls. A ball is drawn at random from the bag. The probability of getting a white ball is:

1 Mark(s)

Your Answer:

A) $\frac{5}{12}$ A) $\frac{5}{12}$
B) \(\frac{7}{12}/latex] B) \(\frac{7}{12}/latex]
C) 1 C) 1
D) 0 (A) and the other labelled as Reason (R). Select the correct answer from the options (a), (b), (c), and

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

3/7 of 4/9 of 2/5 of 7560 = (?)2

1 Mark(s)

Your Answer:

18 18
22 22
24 24
26 26

Area of an equilateral triangle of side a is

1 Mark(s)

Your Answer:

A) $\frac{\sqrt{3} a^2}{4}$ A) $\frac{\sqrt{3} a^2}{4}$
B) $\frac{a \sqrt{3}}{2}$ B) $\frac{a \sqrt{3}}{2}$
C) √3a 2 C) √3a 2
D) a√3 (\frac{\sqrt{3} a^2}{4}\) D) a√3 (\frac{\sqrt{3} a^2}{4}\)

Power set of empty or Null set has exactly _________ subset.

1 Mark(s)

Your Answer:

One One
Two Two
Zero Zero
Three Three

Which of the following statements is true for the median of a data set?

1 Mark(s)

Your Answer:

A) The median is the highest number in the data set.
B) The median is the middle value in a sorted data set.
C) The median is the lowest value in the data set.
D) The median is the sum of the values divided by the total number of values.

What is $41 \times 6$?

1 Mark(s)

Your Answer:

240 240
246 246
252 252
258 258

The matrix $\left[\begin{array}{ccc} 0 & -5 & 8 \\ 5 & 0 & 12 \\ -8 & -12 & 0 \end{array}\right]$ is a

1 Mark(s)

Your Answer:

A) diagonal matrix A) diagonal matrix
B) symmetric matrix B) symmetric matrix
C) skew symmetric matrix C) skew symmetric matrix
D) scalar matrix D) scalar matrix

The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?

1 Mark(s)

Your Answer:

Rs. 5725 Rs. 5725
Rs. 5275 Rs. 5275
Rs. 6275 Rs. 6275
Rs. 6725 Rs. 6725
None of these None of these

The ratio of 2km to 600m should be:

1 Mark(s)

Your Answer:

2 : 7 2 : 7
10 : 7 10 : 7
2 : 3 2 : 3
10 : 3 10 : 3

The Mann-Whitney U test is preferred to a t-test when____________?

1 Mark(s)

Your Answer:

Sample are dependent Sample are dependent
The assumption of normality is not met The assumption of normality is not met
Sample sizes are small Sample sizes are small
Data are paired Data are paired

If eggs cost $.06 each ,how much should a dozen eggs cost ?

1 Mark(s)

Your Answer:

.56 .56
$ .80 $ .80
$ .72 $ .72
$.60 $.60

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

What is $6 \times 7$?

1 Mark(s)

Your Answer:

36 36
40 40
44 44
42 42

30.9 * 3000 – 10.1 * 1100 + 8298 – 4302 = _________?

1 Mark(s)

Your Answer:

80000 80000
90000 90000
105000 105000
85000 85000

A triangle that has no equal sides and no equal angles is known as:

1 Mark(s)

Your Answer:

isosceles triangle isosceles triangle
scalene triangle scalene triangle
equilateral triangle equilateral triangle
right angle right angle

We can subtract two matrices A and B if their:

1 Mark(s)

Your Answer:

elements are same elements are same
order is same order is same
rows are same rows are same
columns are same columns are same

What is $23 \times 8$?

1 Mark(s)

Your Answer:

176 176
184 184
192 192
200 200

If bxy = -.8 by x = 1.2 then value of r is ________________?

1 Mark(s)

Your Answer:

√.96 √.96
√-.96 √-.96
0 0
None of these None of these

The ratio in the simplest form of the ratio a : b is:

1 Mark(s)

Your Answer:

A) $\frac{a}{10}: \frac{b}{10}$ A) $\frac{a}{10}: \frac{b}{10}$
B) $\frac{a}{{HCF}(a, b)}: \frac{b}{{HCF}(a, b)}$
C) $\frac{a}{{LCM}(a, b)}: \frac{b}{{LCM}(a, b)}$
D) None of these (\frac{a}{{HCF}(a, b)}: \frac{b}{{HCF}(a, b)}\)

Correlation coefficient is ___________ with respect to x and y?

1 Mark(s)

Your Answer:

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

A sum of $₹15000$ is lent at \$12\%$ compound interest per annum. Find the amount after \$3$ years.

1 Mark(s)

Your Answer:

₹21073.92 ₹21073.92
₹21000 ₹21000
₹21500 ₹21500
₹22000 ₹22000

There would be 10% loss if rice is sold at Rs. 5.40 per kg. At what price per kg should it be sold to earn a profit of 20%

1 Mark(s)

Your Answer:

Rs. 6 Rs. 6
Rs. 6.48 Rs. 6.48
Rs. 7.02 Rs. 7.02
Rs. 7.20 Rs. 7.20

If 6 (A’s capital) = 8 (B’s capital) = 10 (C’s capital). Then the ratio of their capitals is:

1 Mark(s)

Your Answer:

3:4:5 3:4:5
12:15:20 12:15:20
20:15:12 20:15:12
6:8:10 6:8:10

If x is 4 and the distribution is 2, 3, 4, 5, 6, the sum of squared deviations from the x will be______________?

1 Mark(s)

Your Answer:

8 8
10 10
6 6
12 12

In how many different ways can six players be arranged in a line such that two of them, Asim and Raheem are never together?

1 Mark(s)

Your Answer:

120 120
240 240
360 360
480 480

The wire bent in the form of a square enclose an area of 484 Sq.cm. If the same wire is bent so as to from a circle than the area enclosed will be_________?

1 Mark(s)

Your Answer:

484Sq.cm 484Sq.cm
538 2/7 Sq.cm 538 2/7 Sq.cm
616 Sq.cm 616 Sq.cm
644 Sq.cm 644 Sq.cm

Coefficient of x4 in 4x 3 – 5x 4 + 2x 2 + 3 is

1 Mark(s)

Your Answer:

A) 2 A) 2
B) 3 B) 3
C) 4 C) 4
D) -5 D) -5

In fourth quadrant, y is

1 Mark(s)

Your Answer:

A) -ve A) -ve
B) +ve B) +ve
C) 0 C) 0
D) none of these D) none of these

In an election between two candidates 75 % of the voters cast their votes. Out of which 2 % of the voters were declared invalid. A candidate got 9261 votes which were 75 % of the total valid votes. The total number of voters enrolled in that election was:__________?

1 Mark(s)

Your Answer:

10000 10000
16400 16400
16800 16800
18000 18000

Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?

1 Mark(s)

Your Answer:

3x2 + 5x – 2 = 0 3x2 + 5x – 2 = 0
3x2 + 5x + 2 = 0 3x2 + 5x + 2 = 0
3x2 – 5x + 2 = 0 3x2 – 5x + 2 = 0
3x2 – 5x – 2 = 0 3x2 – 5x – 2 = 0

If tan -1 (x – 1) + tan -1 x + tan -1 (x + 1) = tan -1 3x, then the values of x are

1 Mark(s)

Your Answer:

A) $\pm \frac{1}{2}$ A) $\pm \frac{1}{2}$
B) 0, $\frac{1}{2}$ B) 0, $\frac{1}{2}$
C) 0, $-\frac{1}{2}$ C) 0, $-\frac{1}{2}$
D) 0, $\pm \frac{1}{2}$ (\pm \frac{1}{2}\)

Evaluating Your Answers

Statistics Mock Test 10 : Question 1 of 47