Statistics Mock Test 15 - Online MCQ Exam

What is $\frac{13}{18} + \frac{5}{18}$?

1 Mark(s)

Your Answer:

1 1
$\frac{17}{18}$ $\frac{17}{18}$
$\frac{19}{18}$ $\frac{19}{18}$
$\frac{8}{9}$ $\frac{8}{9}$

A cloth is cut into two pieces in the ratio 3 : 7. If the smallest piece is 60 m long, then the quantity of the total piece of cloth is

1 Mark(s)

Your Answer:

A) 140 m A) 140 m
B) 180 m B) 180 m
C) 200 m C) 200 m
D) 210 m D) 210 m

421 * 0.9 + 130 * 101 + 10000 = ___________?

1 Mark(s)

Your Answer:

33500 33500
23500 23500
22500 22500
24500 24500

A ribbon of length 5 $\frac{1}{3}$ m is cut into small pieces, each of length $\frac{2}{3}$ m. The number of pieces will be

1 Mark(s)

Your Answer:

A) 5 A) 5
B) 6 B) 6
C) 7 C) 7
D) 8 D) 8

The number of line segments in the given figure is

1 Mark(s)

Your Answer:

A) 5 A) 5
B) 10 B) 10
C) 15 C) 15
D) 20 D) 20

Considering the formula 1⁄w = 1⁄x + 1⁄y + 1⁄z, then if x = 5, y = 10, and z = 15, the value of 1⁄w is:

1 Mark(s)

Your Answer:

11⁄20 11⁄20
11⁄30 11⁄30
30⁄11 30⁄11
20⁄11 20⁄11

In the binomial experiment, the outcomes of each trial maybe classified into ______________?

1 Mark(s)

Your Answer:

Success Success
Failure Failure
Success or Failure Success or Failure
None of these None of these

The mode of the data 2,4,6,6,6,8 is _______________?

1 Mark(s)

Your Answer:

4 4
6 6
8 8
30 30

(a) α = a 2 + b 2 , β = ab (b) α = a 2 + b 2 , β = 2ab (c) α = a 2 + b 2 , β = a 2 – b 2 (d) α = 2ab, β = a 2 + b 2

1 Mark(s)

Your Answer:

A) α = a 2 + b 2 , β = ab A) α = a 2 + b 2 , β = ab
B) α = a 2 + b 2 , β = 2ab B) α = a 2 + b 2 , β = 2ab
C) α = a 2 + b 2 , β = a 2 – b 2 C) α = a 2 + b 2 , β = a 2 – b 2
D) α = 2ab, β = a 2 + b 2 D) α = 2ab, β = a 2 + b 2

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?

1 Mark(s)

Your Answer:

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

The next term of the series √2, √8 , √18 , √32 , … is:

1 Mark(s)

Your Answer:

A) $\sqrt{48}$ A) $\sqrt{48}$
B) $\sqrt{54}$ B) $\sqrt{54}$
C) $\sqrt{50}$ C) $\sqrt{50}$
D) $\sqrt{60}$ (\sqrt{54}\) D) $\sqrt{60}$ (\sqrt{54}\)

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

Express 10 percent of 100?

1 Mark(s)

Your Answer:

5 5
3 3
15 15
10 10

If $A=\left[\begin{array}{ccc} 0 & -1 & 2 \\ 1 & 0 & 3 \\ -2 & -3 & 0 \end{array}\right]$, then A + 2A T equals

1 Mark(s)

Your Answer:

A) A A) A
B) -A T B) -A T
C) A T C) A T
D) 2A 2 D) 2A 2

A lock uses 4 slots with digits 0-9. How many combinations are possible?

1 Mark(s)

Your Answer:

A) 10 3 A) 10 3
B) 10 4 B) 10 4
C) 4 10 C) 4 10
D) 9 4 D) 9 4

How many bytes are needed for encoding 2000 bits of data?

1 Mark(s)

Your Answer:

5 Byte 5 Byte
2 bytes 2 bytes
4 bytes 4 bytes
8 bytes 8 bytes

Cluster sampling is useful when sampling units are__________?

1 Mark(s)

Your Answer:

Close another Close another
Far a part Far a part
Mixed Mixed
None of these None of these

A room is 12 ¼ m long and 7w wide. The maximum length of a square tile to fill the floor of the room with whole number of it’s tiles should be_________?

1 Mark(s)

Your Answer:

200cm 200cm
175cm 175cm
125cm 125cm
150cm 150cm

What is \$15\%$ of \$200$?

1 Mark(s)

Your Answer:

25 25
28 28
30 30
35 35

In the given figure, ABCD is a cyclic quadrilateral. Then which of the following is correct?

1 Mark(s)

Your Answer:

A) x = 118, y = 96 A) x = 118, y = 96
B) x = 116, y = 98 B) x = 116, y = 98
C) x = 96, y = 118 C) x = 96, y = 118
D) x = 118, y = 92 D) x = 118, y = 92

What is $46 \times 8$?

1 Mark(s)

Your Answer:

368 368
360 360
376 376
384 384

If Peter earns $3500/month and spends $3000 while Paul earns $3800/month and spends $2900 then out of Peter and Paul, the one who spent more (in percentages and names) is:

1 Mark(s)

Your Answer:

Peter with 85.714% Peter with 85.714%
Paul with 86.31% Paul with 86.31%
Paul with 76.31% Paul with 76.31%
Peter with 89% Peter with 89%

Considering the inequalities, nine is:

1 Mark(s)

Your Answer:

< 11 < 11
< 5 < 5
< 7 < 7
> 14 > 14

A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are:

1 Mark(s)

Your Answer:

Rs. 10,500, Rs. 13,500, Rs. 16,500 Rs. 10,500, Rs. 13,500, Rs. 16,500
Rs. 11,500, Rs. 13,000, Rs. 16,000 Rs. 11,500, Rs. 13,000, Rs. 16,000
Rs. 11,000, Rs. 14,000, Rs. 15,500 Rs. 11,000, Rs. 14,000, Rs. 15,500
Rs. 11,500, Rs. 12,500, Rs. 16,500 Rs. 11,500, Rs. 12,500, Rs. 16,500

If a + b = 5 and a - b = √17 then the value of ab should be:

1 Mark(s)

Your Answer:

3 3
2 2
5 5
4 4

Sampling Error decrease by _______ the sample size?

1 Mark(s)

Your Answer:

Increase Increase
Decrease Decrease
Sampling Sampling
Population Population

The Coefficient of Skewness is always zero for ____________ distribution?

1 Mark(s)

Your Answer:

Symmetrical Symmetrical
Skewed Skewed
All of above All of above
None of these None of these

Any two numbers x and y, written in the form(x,y) is called:

1 Mark(s)

Your Answer:

binary relation binary relation
domain domain
range range
an ordered pair an ordered pair

P95 means _____?

1 Mark(s)

Your Answer:

The central 95% area The central 95% area
The point above above which95% area lies
The point above below which 95% area lies
Both (a) and (b) but not (c) Both (a) and (b) but not (c)

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

1 Mark(s)

Your Answer:

80000 80000
90000 90000
105000 105000
85000 85000

Find the HCF of \$30$ and \$45$

1 Mark(s)

Your Answer:

5 5
10 10
15 15
30 30

Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?

1 Mark(s)

Your Answer:

Rs. 4500 Rs. 4500
Rs. 4800 Rs. 4800
Rs. 5250 Rs. 5250
Rs. 6150 Rs. 6150
None of these None of these

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

In a Circle of Radius 5 cm if AB and AC are two equal chords of length 6cm each, then the length of chord BC is___________?

1 Mark(s)

Your Answer:

24/5 cm 24/5 cm
12/5 cm 12/5 cm
7/5 cm 7/5 cm
None of these None of these

If a number has 2 or 2 at its unit’s place, then its square would end in

1 Mark(s)

Your Answer:

A) 2 A) 2
B) 8 B) 8
C) 4 C) 4
D) 16 D) 16

In statistics, conducting a survey means_____________?

1 Mark(s)

Your Answer:

Collecting information from elements Collecting information from elements
Making mathematical calculations Making mathematical calculations
Drawing graphs and pictures Drawing graphs and pictures
None of the above None of the above

$\frac{8}{15}$ – ? = $\frac{7}{15}$

1 Mark(s)

Your Answer:

A) $\frac{1}{15}$ A) $\frac{1}{15}$
B) $\frac{2}{15}$ B) $\frac{2}{15}$
C) $\frac{4}{15}$ C) $\frac{4}{15}$
D) $\frac{7}{15}$ (\frac{1}{15}\) D) $\frac{7}{15}$ (\frac{1}{15}\)

By converting the 4.8mm² into the cm², the answer will be:

1 Mark(s)

Your Answer:

0.048cm² 0.048cm²
0.48cm² 0.48cm²
48cm² 48cm²
480cm² 480cm²

The probability function is always______________?

1 Mark(s)

Your Answer:

Negative Negative
Non Negative Non Negative
Positive Positive
None None

Measures of the two angles between hour and minute hands of a clock at 9 0 ’clock are

1 Mark(s)

Your Answer:

A) 60°, 300° A) 60°, 300°
B) 270°, 90° B) 270°, 90°
C) 75° , 285° C) 75° , 285°
D) 30°, 330° D) 30°, 330°

The median of numbers, 12, 22, 32,__(2n + 1)2 is given by______?

1 Mark(s)

Your Answer:

(n2 + 1) (n2 + 1)
(2n + 1)2 (2n + 1)2
(n + 1)2 (n + 1)2
(N – 1)2 (N – 1)2

Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?

1 Mark(s)

Your Answer:

101 101
103 103
107 107
113 113

if Var(θˆ)→0 as n → 0, then θˆ is said to be______________?

1 Mark(s)

Your Answer:

Sufficient Sufficient
Efficient Efficient
Unbiased Unbiased
Consistent Consistent

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?

1 Mark(s)

Your Answer:

Rs. 51.25 Rs. 51.25
Rs. 52 Rs. 52
Rs. 54.25 Rs. 54.25
Rs. 60 Rs. 60

The Highest Common Factor (HCF) of 140, 308 and 490 is:

1 Mark(s)

Your Answer:

15 15
14 14
18 18
11 11

Which of the following is the unit digit in the product of 853 x 452 x 226 x 1346?

1 Mark(s)

Your Answer:

2 2
5 5
6 6
7 7

Find the average of \$18, 22, 26, 30$

1 Mark(s)

Your Answer:

22 22
23 23
24 24
25 25

The Compound interest on Rs 16000 for 9 months at 20% P.a compounded quarterly is:__________?

1 Mark(s)

Your Answer:

Rs 2518 Rs 2518
Rs 2520 Rs 2520
Rs 2522 Rs 2522
Rs 2524 Rs 2524

The radius of a circle is increased by \$50\%$. Find the percentage increase in area.

1 Mark(s)

Your Answer:

1 1
1.2 1.2
1.25 1.25
1.5 1.5

31.2 * 14.5 * 9.6 = ________?

1 Mark(s)

Your Answer:

4334.04 4334.04
4243.04 4243.04
4343.04 4343.04
4433.04 4433.04

³√216400 + √280 + √322 = ________?

1 Mark(s)

Your Answer:

651 651
361 361
100 100
95 95

If P is the probability of an event, what is the probability of its complement?

1 Mark(s)

Your Answer:

1 - 1/P 1 - 1/P
P - 1 P - 1
1 - P 1 - P
None of the above None of the above

The angles formed when two straight lines intersect each other are classified as:

1 Mark(s)

Your Answer:

adjacent angles adjacent angles
complementary angles complementary angles
supplementary angles supplementary angles
vertically opposite angles vertically opposite angles

Subtracting 10% from X is the same as multiplying X by what number?

1 Mark(s)

Your Answer:

80% 80%
90% 90%
10% 10%
50% 50%

A discrete probability distribution may be represented by____________?

1 Mark(s)

Your Answer:

A Table A Table
A Graph A Graph
A mathematical Equation A mathematical Equation
All of these All of these

Group data formula for mode _______?

1 Mark(s)

Your Answer:

1+ fm – f2/f1 – f2 x h 1+ fm – f2/f1 – f2 x h
1+ f1 – f2/f2 – fm x h 1+ f1 – f2/f2 – fm x h
1 + fm – f1/ (fm – f1) + (fm1 – f2) x h
1+ fm1 – f2/f1 – fm x h 1+ fm1 – f2/f1 – fm x h

The line of intersection of II and III quadrants is

1 Mark(s)

Your Answer:

A) x-axis A) x-axis
B) y-axis B) y-axis
C) vertical axis C) vertical axis
D) none of these D) none of these

An events that contains the finite number point the sample space is called __________________?

1 Mark(s)

Your Answer:

Finite Finite
Random Random
Continuous Continuous
values values

What is $\sqrt{1156}$?

1 Mark(s)

Your Answer:

34 34
32 32
36 36
38 38

What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?

1 Mark(s)

Your Answer:

Rs. 31 Rs. 31
Rs. 32.10 Rs. 32.10
Rs. 40.40 Rs. 40.40
Rs. 64.10 Rs. 64.10

Evaluating Your Answers

Statistics Mock Test 15 : Question 1 of 60