Statistics Mock Test 4 - Online MCQ Exam

2π radians are equal to:

1 Mark(s)

Your Answer:

180° 180°
360° 360°
90° 90°
270° 270°

If P(a + 1, 3) and Q(3, b + 2) are coincident points, then values of a and b respectively are:

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Your Answer:

A) 3 and 4 A) 3 and 4
B) 2 and 1 B) 2 and 1
C) 3 and 2 C) 3 and 2
D) -5 and -5 (A) and the other labelled as Reason (R). Select the correct answer from the options (a), (b), (c), and

The choices of the fruits of 42 students in a class are as follows. A, 0, B, M, A, G, B, G, A, G, B, M, A, G, M, A, B, G, M, B, A, 0, M, 0, G, B, 0, M, G, A. A, B. M, 0, M, G, B, A, M, 0, M, 0 Where A, B, G, M and 0 stand for the fruits Apple, Banana, Grapes, Mango and Orange, respectively. Which two fruits are liked by an equal number of Students ?

1 Mark(s)

Your Answer:

A) A and M A) A and M
B) M and B B) M and B
C) B and O C) B and O
D) B and G D) B and G

37037 is always divisible by

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Your Answer:

A) 101 A) 101
B) 17 B) 17
C) 31 C) 31
D) 307 D) 307

A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?

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Your Answer:

15% 15%
10% 10%
7 1/2 % 7 1/2 %
8% 8%

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of

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Your Answer:

120 120
260 260
240 240
220 220

A test is said to be most powerful test of size α, if_______________?

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Your Answer:

Among all other test of size α or less it has the largest power
Among all other test of size α or greater it has the largest 1 – α
Among all other test of size α or greater it has the smallest power
Among all other test of size α or greater it has the largest β

Ramees professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?

1 Mark(s)

Your Answer:

11% 11%
11 2/9% 11 2/9%
11 1/9% 11 1/9%
10% 10%

The population of a city increases at the rate of 4% p.a. but there is an additional annual increase of 1% in the population due to some job seekers. The percentage increase in the population after 2 years is_________?

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Your Answer:

10 10
11 11
10.25 10.25
10.15 10.15

The number of transitive closure exists in the relation R = {(0,1), (1,2), (2,2), (3,4), (5,3), (5,4)} where {1, 2, 3, 4, 5} ∈ A is__________.

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Your Answer:

{(0,1), (0,2), (1,2), (2,2), (3,4), (5,3), (5,4)}
{(0,0), (4,4), (5,5), (1,1), (2,2), (3,3)}
{(0,1), (1,2), (2,2), (3,4)} {(0,1), (1,2), (2,2), (3,4)}
{(0,1), (5,3), (5,4), (1,1), (2,2)} {(0,1), (5,3), (5,4), (1,1), (2,2)}

Which of the following natural feature is known as ‘Water Tower of Asia’?

1 Mark(s)

Your Answer:

A) The Himalayan Ranges A) The Himalayan Ranges
B) The Northern Plains B) The Northern Plains
C) The Thar Desert C) The Thar Desert
D) The Islands D) The Islands

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

The ratio of ages of A and B is \$5:7$. After \$6$ years, the ratio becomes \$3:4$. Find the present age of A.

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Your Answer:

25 years 25 years
28 years 28 years
30 years 30 years
35 years 35 years

H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is___________?

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Your Answer:

180 180
360 360
540 540
1260 1260

In a : b = c : d, b and c are called:

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Your Answer:

antecedent antecedent
extreme extreme
consequent consequent
mean mean

The product of two numbers is 2025 and their HCF is 15 their LCM is____________?

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Your Answer:

2040 2040
2010 2010
135 135
150 150

Which one is the not measure of dispersion?

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Your Answer:

The Range The Range
50th Percentile 50th Percentile
Inter-Quartile Range Inter-Quartile Range
Variance Variance

The Least Common Multiple (LCM) of 40, 50 and 70:

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Your Answer:

1800 1800
1400 1400
1200 1200
1600 1600

The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?

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Your Answer:

21/25 21/25
17/25 17/25
4/25 4/25
8/25 8/25

What is the probability of getting 1 and 5 if a dice is thrown once?

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Your Answer:

1/6 1/6
1/3 1/3
2/3 2/3
8/9 8/9

Binomial distribution is negatively skewed when:__________________?

1 Mark(s)

Your Answer:

p=0 p=0
p>1/2 p>1/2
p=1/2 p=1/2
p=1/3 p=1/3

(i). a² – 7a + 12 = 0,
(ii). b² – 3b + 2 = 0 to solve both the equations to find the values of a and b?

1 Mark(s)

Your Answer:

if a < b if a < b
if a ≤ b if a ≤ b
if the relationship between a and b cannot be established.
if a > b if a > b

If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.

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Your Answer:

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

Population census is conducted through_______________?

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Your Answer:

Sample survey Sample survey
Accounting Accounting
Investigation Investigation
Complete enumeration Complete enumeration

A polynomial of degree ‘3’ is called:

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Your Answer:

zero polynomial zero polynomial
cubic polynomial cubic polynomial
linear polynomial linear polynomial
quadratic polynomial quadratic polynomial

In a Poisson probability distribution __________________?

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Your Answer:

The mean and variance of the distribution are same (equal)
The probability of success is always greater than 5
The number of trials is always less than 5
it always contains a contingency table it always contains a contingency table

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

Which of the following is a polynomial in one variable?

1 Mark(s)

Your Answer:

A) 3 – x 2 + x A) 3 – x 2 + x
B) √3x + 4 B) √3x + 4
C) x 3 + y 3 + 7 C) x 3 + y 3 + 7
D) x + $\frac{1}{x}$ D) x + $\frac{1}{x}$

If there are 150 wood cylinders to be carved and each cylinder is 12cm long and has diameter of 45mm then the total surface area for carving is:

1 Mark(s)

Your Answer:

285cm² 285cm²
250cm² 250cm²
201cm² 201cm²
305cm² 305cm²

Find the value of x for which the matrix $A=\left[\begin{array}{ccc} 3-x & 2 & 2 \\ 2 & 4-x & 1 \\ -2 & -4 & -1-x \end{array}\right]$ is singular.

1 Mark(s)

Your Answer:

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

The right-angled triangle must have:

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Your Answer:

four right angles four right angles
three right angles three right angles
one right angle one right angle
two right angles two right angles

If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:________?

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Your Answer:

Rs. 768 Rs. 768
Rs. 968 Rs. 968
Rs. 1960 Rs. 1960
Rs. 2400 Rs. 2400

X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z.

1 Mark(s)

Your Answer:

32:35 32:35
67:56 67:56
5:14 5:14
5:7 5:7

In a river, a man takes 3 hours in rowing 3 km upstream or 15 km downstream. What is the speed of the current?

1 Mark(s)

Your Answer:

2km/hr 2km/hr
4km/hr 4km/hr
6km/hr 6km/hr
9km/hr 9km/hr

The area of a rectangle with length \$20$ cm and width \$5$ cm is:

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Your Answer:

90 cm² 90 cm²
95 cm² 95 cm²
100 cm² 100 cm²
110 cm² 110 cm²

A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?

1 Mark(s)

Your Answer:

5 kmph 5 kmph
6 kmph 6 kmph
7 kmph 7 kmph
8 kmph 8 kmph

Find the HCF of \$180$ and \$240$

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Your Answer:

30 30
45 45
120 120
60 60

Which statement is incorrect if X and Y are the two non-empty relations on the set S.

1 Mark(s)

Your Answer:

If X and Y are transitive, then the intersection of X and Y is also transitive.
If X and Y are reflexive, then the intersection of X and Y is also reflexive.
If X and Y are symmetric, then the union of X and Y is not symmetric.
If X and Y are transitive, then the union of X and Y is not transitive.

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

In the given figure, if O is the centre of a circle and AB = CD, then which of the following is correct?

1 Mark(s)

Your Answer:

A) ∠AOB ≠ ∠COD A) ∠AOB ≠ ∠COD
B) ∠AOB and ∠COD B) ∠AOB and ∠COD
C) ∠AOB and ∠COD may be or may not be equal
D) None of the above D) None of the above

The perimeter of a triangular plot is 16 m. If the measures of its two sides are 5 m and 6 m, then find the third side.

1 Mark(s)

Your Answer:

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

What is the value of (tan2 θ - sec2 θ)?

1 Mark(s)

Your Answer:

2 2
-1 -1
1 1
None of the above None of the above

If sum of 4 consecutive numbers is 98 then the equation derived for this statement can be written as:

1 Mark(s)

Your Answer:

a + (a + 1) + (a + 2) + (a + 3) = 98 a + (a + 1) + (a + 2) + (a + 3) = 98
a + 1 + 2 + 3 = 98 a + 1 + 2 + 3 = 98
a + (a + 1) + (a + 2) + (a + 3) = 98a a + (a + 1) + (a + 2) + (a + 3) = 98a
(a)(1)(2)(3) = 98 (a)(1)(2)(3) = 98

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?

1 Mark(s)

Your Answer:

216 216
243 243
215 215
729 729

Which search compares each element with the searching element till not found?

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Your Answer:

Merge search Merge search
Sequential Search Sequential Search
Binary search Binary search
none of the mentioned none of the mentioned

Find the ratio between whole surfaces of a sphere and a hemisphere?

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Your Answer:

3:4 3:4
4:3 4:3
3:1 3:1
1:3 1:3

What is \$75\%$ as a fraction in simplest form?

1 Mark(s)

Your Answer:

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

Which visual representation technique used to understand number sequence in mathematics?

1 Mark(s)

Your Answer:

A) Tables A) Tables
B) Graphs B) Graphs
C) Pictures C) Pictures
D) Equations D) Equations

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 %

The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?

1 Mark(s)

Your Answer:

Rs.849.40 Rs.849.40
Rs.877.40 Rs.877.40
Rs.901.60 Rs.901.60
Rs.815.20 Rs.815.20
None of these None of these

A number leaves a remainder of 5 when divided by 7 and a remainder of 2 when divided by 9. Which of the following could be?

1 Mark(s)

Your Answer:

A) 39 A) 39
B) 47 B) 47
C) 53 C) 53
D) 61 D) 61

The ratio of a and b should be written as:

1 Mark(s)

Your Answer:

a : b a : b
a + b a + b
b + a b + a
b : a b : a

The average monthly production of a factory for the first 8 months is 2,500 units, and for the next 4 months the production was 1,200 units. The average monthly production of the year will be_____________?

1 Mark(s)

Your Answer:

2066.55 units 2066.55 units
5031.10 units 5031.10 units
4021.12 units 4021.12 units
3012.11 units 3012.11 units

Cost of fencing a rectangular park of length 200 m and width 150 m at the rate of ₹ 25 per metre is

1 Mark(s)

Your Answer:

A) ₹ 17500 A) ₹ 17500
B) ₹ 1750 B) ₹ 1750
C) ₹ 1705 C) ₹ 1705
D) ₹ 10750 D) ₹ 10750

Arrange the following expressions in descending order of their values.

1 Mark(s)

Your Answer:

A) 128 + 272 A) 128 + 272
B) 450 – 150 B) 450 – 150
C) 70 × 10 C) 70 × 10
D) 900 ÷ 2 D) 900 ÷ 2

The solution of x + 3 < 9 is:

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Your Answer:

x > 4 x > 4
x < 6 x < 6
x < 5 x < 5
x = 6 x = 6

By solving the equation 1 2⁄3a + 6 = 4 1⁄2a - 10, the value of 'a' will be:

1 Mark(s)

Your Answer:

14 14
12 12
16 16
18 18

The headings for various columns are said to be ________________?

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Your Answer:

Portions of column Portions of column
Vertical column Vertical column
Column table Column table
Column caption Column caption

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

The ratio of boys to girls in a class is \$3:2$. If there are \$15$ boys, find the total number of students.

1 Mark(s)

Your Answer:

20 20
22 22
27 27
25 25

If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is_________?

1 Mark(s)

Your Answer:

8: 1 8: 1
2√2 : 1 2√2 : 1
2 : 1 2 : 1
None of these None of these

The radius of a circular wheel is 17.5m. How many revolutions will it make in travelling 11km?

1 Mark(s)

Your Answer:

10 10
100 100
1000 1000
10,000 10,000

wo pipes X and Y fill a tank in 15 hrs. and 20 hrs. respectively, while a third pipe ‘Z’ can empty the full tank in 25 hrs. All the three pipes are opened in the beginning. After 10 hrs. Z is closed. In how much time, will the tank be full ?

1 Mark(s)

Your Answer:

12 hrs 12 hrs
14 hrs 14 hrs
16 hrs 16 hrs
18 hrs 18 hrs

Evaluating Your Answers

Statistics Mock Test 4 : Question 1 of 63