Statistics Mock Test 11 - Online MCQ Exam

The value of (2.75)³ – (2.00)³ – (0.75)³ is__________?

1 Mark(s)

Your Answer:

3 * 2.75 * 2.75 * 2.75 3 * 2.75 * 2.75 * 2.75
3 * 2.00 * 2.00 * 2.00 3 * 2.00 * 2.00 * 2.00
3 * 2.75 * 0.75 * 2.75 3 * 2.75 * 0.75 * 2.75
4.5 * 2.75 4.5 * 2.75

The probability of an event cannot be _____________?

1 Mark(s)

Your Answer:

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

The Least Common Multiple of 40 and 25 is:

1 Mark(s)

Your Answer:

100 100
150 150
200 200
50 50

If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm²) is________?

1 Mark(s)

Your Answer:

100π 100π
7π 7π
60π 60π
50π 50π

The number for the number name ‘Five crore five lakh six thousand seventy’ is

1 Mark(s)

Your Answer:

A) 5,50,06,070 A) 5,50,06,070
B) 55,06,700 B) 55,06,700
C) 5,05,06,070 C) 5,05,06,070
D) None of these D) None of these

(-9) × (-3) + (-9) × 4 is equal to

1 Mark(s)

Your Answer:

A) 63 A) 63
B) -9 B) -9
C) -63 C) -63
D) 54 D) 54

The circumferences of two concentric circles are 176 m and 132 cm respectively. What is the difference between their radii?

1 Mark(s)

Your Answer:

5 m 5 m
7 m 7 m
8 m 8 m
44 m 44 m

I. x² – x – 42 = 0,
II. y² – 17y + 72 = 0 to solve both the equations to find the values of x and y?

1 Mark(s)

Your Answer:

If x < y If x < y
If x > y If x > y
If x ≤ y If x ≤ y
If x ≥ y If x ≥ y
If x = y or the relationship between x and y cannot be established.

(- 4) + (+3) = ?

1 Mark(s)

Your Answer:

A) – 1 A) – 1
B) 1 B) 1
C) 0 C) 0
D) + 2. D) + 2.

Area of a rectangle with length \$8$ cm and width \$5$ cm is:

1 Mark(s)

Your Answer:

30 cm² 30 cm²
35 cm² 35 cm²
38 cm² 38 cm²
40 cm² 40 cm²

Sum of dots when two dice are rolled is____________?

1 Mark(s)

Your Answer:

a discrete variable a discrete variable
a continuous variable a continuous variable
a constant a constant
a qualitative variable a qualitative variable

Assertion (A) In the given figure if / and m are parallel lines, then ∠1 = ∠2. Reason (R) When a transversals intersects a set of parallel lines, then the alternate interior angles are equal to each other.

1 Mark(s)

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.

How many perfect square numbers lie between 16 and 81?

1 Mark(s)

Your Answer:

A) 4 A) 4
B) 5 B) 5
C) 6 C) 6
D) 8 D) 8

If mean of the binomial probability distribution is 4.8, then variance of this distribution is :_______________?

1 Mark(s)

Your Answer:

-2.3 -2.3
5.3 5.3
-4.8 -4.8
2.3 2.3

The normal distribution is_________?

1 Mark(s)

Your Answer:

Platykurtic Platykurtic
Leptokurtic Leptokurtic
Mesoukurtic Mesoukurtic
None of these None of these

What is the probability of getting atleast one head if three unbiased coins are tossed?

1 Mark(s)

Your Answer:

7/8 7/8
1/2 1/2
5/8 5/8
8/9 8/9

A city has a population of 300000 out of which 180000 are males 50% of the population is illiterate if 70 % of the males are literate, then the number of literate females is_________?

1 Mark(s)

Your Answer:

24000 24000
30000 30000
54000 54000
60000 60000

If a man walks at 6 kmph, he can reach his destination at 9:00 am. However, he walks a little slower and reaches only at 10:00 am. If the distance to his destination was 12 km, at what speed did he walk?

1 Mark(s)

Your Answer:

5 kmph 5 kmph
4 kmph 4 kmph
4.5 kmph 4.5 kmph
3 kmph 3 kmph

We are making a magic square using the numbers 1-9, what will be the magic sum?

1 Mark(s)

Your Answer:

A) 9 A) 9
B) 18 B) 18
C) 15 C) 15
D) 20 D) 20

Find the length of the wire required to go 15 times round a square field containing 69696 m².

1 Mark(s)

Your Answer:

15840 m 15840 m
16840 m 16840 m
15820 m 15820 m
15640 m 15640 m

Random numbers are used for selection of ____________?

1 Mark(s)

Your Answer:

Random space Random space
Space Space
Random sample Random sample
Non of these Non of these

A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard?

1 Mark(s)

Your Answer:

25 m 25 m
35 m 35 m
45 m 45 m
50 m 50 m

A relation between 2 quantities of the same kind (measured in same unit) is called:

1 Mark(s)

Your Answer:

proportion proportion
variation variation
ratio ratio
probability probability

If $\log_{10} 2 = 0.3010$ and $\log_{10} 3 = 0.4771$, find $\log_{10} 0.0024$

1 Mark(s)

Your Answer:

$-2.5199$ $-2.5199$
$-2.6199$ $-2.6199$
$-2.7199$ $-2.7199$
$-2.8199$ $-2.8199$

Milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively in what ratio the liquids in both the vessels should be mixed to obtain a new mixture in vessel C containing half milk and half water?

1 Mark(s)

Your Answer:

1:1 1:1
1:3 1:3
1:2 1:2
7:5 7:5

What is $16 \times 3$?

1 Mark(s)

Your Answer:

42 42
48 48
54 54
60 60

The smallest number by which 841 be multiplied so that the product becomes a perfect cube is

1 Mark(s)

Your Answer:

A) 29 A) 29
B) 27 B) 27
C) 25 C) 25
D) 23 D) 23

A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.

1 Mark(s)

Your Answer:

Rs.4500 Rs.4500
Rs.5200 Rs.5200
Rs.1800 Rs.1800
Rs.3000 Rs.3000

Find the LCM of \$28$ and \$42$

1 Mark(s)

Your Answer:

56 56
70 70
112 112
84 84

58978 / 363.94 * 11.02 = _______?

1 Mark(s)

Your Answer:

1580 1580
1680 1680
1780 1780
1880 1880

What is the value of 34 $\frac{10}{10}$ + 30 $\frac{3}{10}$ ?

1 Mark(s)

Your Answer:

A) 65 $\frac{3}{10}$ A) 65 $\frac{3}{10}$
B) 64 $\frac{9}{10}$ B) 64 $\frac{9}{10}$
C) 4 $\frac{7}{10}$ C) 4 $\frac{7}{10}$
D) 34 $\frac{13}{10}$ (\frac{3}{10}\) D) 34 $\frac{13}{10}$ (\frac{3}{10}\)

Which of the following function is also referred to as an injective function?

1 Mark(s)

Your Answer:

Many-to-one Many-to-one
Onto Onto
One-to-One One-to-One
None of the mentioned None of the mentioned

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________?

1 Mark(s)

Your Answer:

53.33 53.33
54.68 54.68
55 55
None of these None of these

In 50 gm alloy of gold and silver the gold is 80 % by weight. How much gold should be mixed with this alloy so that the weight of gold would become 95 %?

1 Mark(s)

Your Answer:

200 gm 200 gm
150 gm 150 gm
50 gm 50 gm
10 gm 10 gm

If $11x = 132$, find $x$

1 Mark(s)

Your Answer:

10 10
11 11
12 12
13 13

What is $\frac{13}{17} - \frac{8}{17}$?

1 Mark(s)

Your Answer:

$\frac{4}{17}$ $\frac{4}{17}$
$\frac{5}{17}$ $\frac{5}{17}$
$\frac{6}{17}$ $\frac{6}{17}$
$\frac{1}{3}$ $\frac{1}{3}$

What is perimeter of a rectangle =

1 Mark(s)

Your Answer:

A) Length × Breadth A) Length × Breadth
B) Length + Breadth B) Length + Breadth
C) 2 × (Length + Breadth) C) 2 × (Length + Breadth)
D) 2 × (Length × Breadth). D) 2 × (Length × Breadth).

Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?

1 Mark(s)

Your Answer:

Rs.420 Rs.420
Rs.400 Rs.400
Rs.375 Rs.375
Rs.380 Rs.380

Area of sector with radius ‘r’ is measured by:

1 Mark(s)

Your Answer:

1 ⁄ 2r 1 ⁄ 2r
1 ⁄ 2 × r²θ 1 ⁄ 2 × r²θ
2r ⁄ θ 2r ⁄ θ
2r + θ 2r + θ

The Harmonic Mean of two number is ‘a’ and ‘b’ is given by ____________?

1 Mark(s)

Your Answer:

a+b/2 a+b/2
2ab/a+b 2ab/a+b
√ab √ab
None of these None of these

John has two beepers red and green. The green beeper beeps every 35 second and red beeper beeps every 45 seconds. After how many seconds both beepers beeps at the same time?

1 Mark(s)

Your Answer:

512 512
515 515
315 315
415 415

Product of –$\frac{2}{11}$ and –$\frac{11}{8}$ is:

1 Mark(s)

Your Answer:

A) –$\frac{1}{4}$ A) –$\frac{1}{4}$
B) $\frac{1}{8}$ B) $\frac{1}{8}$
C) $\frac{1}{4}$ C) $\frac{1}{4}$
D) none of these (\frac{1}{4}\) D) none of these (\frac{1}{4}\)

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

Data being used by an agency which is originally collected by them are _______ data?

1 Mark(s)

Your Answer:

Quantitative Quantitative
Primary Primary
Discrete Discrete
Secondary Secondary

If f(x) = (ax 2 + b) 3 , then the function g such that f(g(x)) = g(f(x)) is given by

1 Mark(s)

Your Answer:

A) $g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)$
B) $g(x)=\frac{1}{\left(a x^{2}+b\right)^{3}}$
C) $g(x)=\left(a x^{2}+b\right)^{1 / 3}$
D) $g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}$ (g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}\)

Binomial distribution is symmetrical when:_________________?

1 Mark(s)

Your Answer:

p = q p = q
p > q p > q
p > q p > q
np > npq np > npq

If the value of tan2 A = 1 + 2tan2 B, then what is the value of √2 cosA - cosB?

1 Mark(s)

Your Answer:

0 0
9 9
√2 √2
√3 √3

If $\log_a b = 3$ and $\log_b c = 2$, find $\log_c a$

1 Mark(s)

Your Answer:

$\frac{1}{5}$ $\frac{1}{5}$
$\frac{1}{6}$ $\frac{1}{6}$
$\frac{1}{7}$ $\frac{1}{7}$
$\frac{1}{8}$ $\frac{1}{8}$

Find x, if $\left[\begin{array}{ccc} 1 & 2 & x \\ 1 & 1 & 1 \\ 2 & 1 & -1 \end{array}\right]$ is singular

1 Mark(s)

Your Answer:

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

x=40 is estimator of _________________?

1 Mark(s)

Your Answer:

(U) (U)
6 6
Ux Ux
6/√n 6/√n

Evaluate the determinant $\Delta=\left|\begin{array}{ll} \log _{3} 512 & \log _{4} 3 \\ \log _{3} 8 & \log _{4} 9 \end{array}\right|$

1 Mark(s)

Your Answer:

A) $\frac { 15 }{ 2 }$ A) $\frac { 15 }{ 2 }$
B) 12 B) 12
C) $\frac { 14 }{ 3 }$ C) $\frac { 14 }{ 3 }$
D) 6 (\frac { 15 }{ 2 }\) D) 6 (\frac { 15 }{ 2 }\)

There are _________ important bases of classification of data?

1 Mark(s)

Your Answer:

Two Two
Four Four
Six Six
Three Three

A sum of money doubles itself in \$8$ years at simple interest. In how many years will it become \$5$ times?

1 Mark(s)

Your Answer:

24 years 24 years
28 years 28 years
32 years 32 years
36 years 36 years

A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?

1 Mark(s)

Your Answer:

160 160
180 180
225 225
200 200

If a dice is rolled twice then what is the probability that the sum of the number of dots shown is 8?

1 Mark(s)

Your Answer:

5/36 5/36
4/36 4/36
1/12 1/12
1/2 1/2

The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum.

1 Mark(s)

Your Answer:

Rs.18000 Rs.18000
Rs.17000 Rs.17000
Rs.18500 Rs.18500
Rs.17500 Rs.17500
None of these. None of these.

Find two number whose sum is 28 and the difference is 4 _____________?

1 Mark(s)

Your Answer:

12,16 12,16
18,10 18,10
15,13 15,13
14,12 14,12

A∩B means:_______________?

1 Mark(s)

Your Answer:

The elements of A or B The elements of A or B
The elements of A and B The elements of A and B
The elements A but not of B The elements A but not of B
None of these None of these

Considering the formula V = lbh, then if l = 2cm, b = 3cm and h = 6, the value of 'V' will be:

1 Mark(s)

Your Answer:

48cm³ 48cm³
24cm³ 24cm³
36cm³ 36cm³
8cm³ 8cm³

Continuous variable can assume __________ value?

1 Mark(s)

Your Answer:

All possible All possible
Constant Constant
Accuracy Accuracy
Specific Specific

If sin θ = 0.7, then what is the value of cosθ, if 00 <= θ < 900?

1 Mark(s)

Your Answer:

√51 √51
√49 √49
0.3 0.3
None of the above None of the above

(a + 1) (a – 1) (a2 + 1) =

1 Mark(s)

Your Answer:

A) a 4 – 2a 2 – 1 A) a 4 – 2a 2 – 1
B) a 4 – a 2 – 1 B) a 4 – a 2 – 1
C) a 4 – 1 C) a 4 – 1
D) a 4 + 1 D) a 4 + 1

The solution set of equation x² - 9 = 0 is:

1 Mark(s)

Your Answer:

{±4} {±4}
{4} {4}
{±2} {±2}
{±3} {±3}

Hypergeometric distribution has parameter:_____________________?

1 Mark(s)

Your Answer:

2 2
1 1
3 3
4 4
No No

What is the value of (8+2) × 5 ?

1 Mark(s)

Your Answer:

A) 40 A) 40
B) 50 B) 50
C) 60 C) 60
D) 30 D) 30

The identity element for the binary operation * defined on Q – {0} as a * b = $\frac{a b}{2}$ ∀ a, b ∈ Q – {0) is

1 Mark(s)

Your Answer:

A) 1 A) 1
B) 0 B) 0
C) 2 C) 2
D) None of these D) None of these

What is $\sqrt{784}$?

1 Mark(s)

Your Answer:

26 26
28 28
30 30
32 32

The perimeter of a rectangle with length \$10$ cm and width \$6$ cm is:

1 Mark(s)

Your Answer:

32 cm 32 cm
30 cm 30 cm
34 cm 34 cm
36 cm 36 cm

Technical & Trade Journals are the source of ___________ data?

1 Mark(s)

Your Answer:

Primary Primary
Secondary Secondary
Ungroup data Ungroup data
Group data Group data

What’s the largest known Prime Number?

1 Mark(s)

Your Answer:

282,589,933 − 3 282,589,933 − 3
282,589,933 − 1 282,589,933 − 1
282,589,933 − 5 282,589,933 − 5
None of these None of these

A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is__________?

1 Mark(s)

Your Answer:

1:3 1:3
3:1 3:1
1:2 1:2
2:1 2:1

When using the sign test, if two scores are tied, then_____________?

1 Mark(s)

Your Answer:

We count them We count them
We discard them We discard them
We depends upon the scores We depends upon the scores
non of these non of these

On the Cartesian plane, the y-axis is also known as:

1 Mark(s)

Your Answer:

horizontal axis horizontal axis
vertical axis vertical axis
point coordinate point coordinate
function coordinate function coordinate

What is $33 \times 9$?

1 Mark(s)

Your Answer:

288 288
297 297
306 306
315 315

Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?

1 Mark(s)

Your Answer:

12 12
18 18
24 24
32 32

Which of the following Is not in the lowest form?

1 Mark(s)

Your Answer:

A) $\frac{7}{5}$ A) $\frac{7}{5}$
B) $\frac{15}{20}$ B) $\frac{15}{20}$
C) $\frac{13}{33}$ C) $\frac{13}{33}$
D) $\frac{27}{28}$ (\frac{15}{20}\) D) $\frac{27}{28}$ (\frac{15}{20}\)

Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?

1 Mark(s)

Your Answer:

5 min 5 min
5.5 min 5.5 min
5.2 min 5.2 min
None None

Evaluating Your Answers

Statistics Mock Test 11 : Question 1 of 77