Statistics Mock Test 6 - Online MCQ Exam

The estimated value of the cubic root of 1350 is:

1 Mark(s)

Your Answer:

3674.23 3674.23
56.7423 56.7423
36.7423 36.7423
367.423 367.423

Which of the following numbers is both a multiple of 7 and an even number?

1 Mark(s)

Your Answer:

A) 14 A) 14
B) 21 B) 21
C) 35 C) 35
D) 49 D) 49

Assertion (A) If x + y = 17and x – y = 3 then the value of x 2 + y 2 is 149. Reason (R) (a + b) 2 – (a – b) 2 = 4ab

1 Mark(s)

Your Answer:

A) Both A and R are correct and R is the correct explanation of A.
B) Both A and R are correct 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. D) A is false but R is true.

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 LCM of \$10$ and \$15$ is:

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Your Answer:

20 20
25 25
30 30
45 45

6 of 5/8 / 5/8 – 1/8 = ______?

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Your Answer:

6 1/8 6 1/8
5 3/4 5 3/4
6 3/4 6 3/4
5 7/8 5 7/8

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

Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?

1 Mark(s)

Your Answer:

5073 5073
5016 5016
5054 5054
5035 5035

The instrument to measure an angle is a

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Your Answer:

A) ruler A) ruler
B) protractor B) protractor
C) divider C) divider
D) compasses D) compasses

The length of a rectangular plot is 4 ½ times that of its breadth. IF the area of the plot is 200 square meters, then what is it’s length?

1 Mark(s)

Your Answer:

25m 25m
30m 30m
44m 44m
None of these None of these

The angles that have common vertex and a common side on a line are classified as:

1 Mark(s)

Your Answer:

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

Find the distance travelled by Sangeeta if she takes 5 rounds of a square park of side 10 m.

1 Mark(s)

Your Answer:

A) 200 m A) 200 m
B) 100 m B) 100 m
C) 400 m C) 400 m
D) 800 m. D) 800 m.

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

1 Mark(s)

Your Answer:

3 3
4 4
5 5
6 6

The predecessor of the integer -1 is

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Your Answer:

A) 0 A) 0
B) 2 B) 2
C) -2 C) -2
D) 1 D) 1

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

1 Mark(s)

Your Answer:

300 300
450 450
600 600
750 750

In a frequency distribution the last cumulative frequency is 500. Q3 must lie in_____________?

1 Mark(s)

Your Answer:

275th item 275th item
375th item 375th item
150th item 150th item
175th item 175th item

If $\left[\begin{array}{ll} 1 & 2 \\ 3 & 4 \end{array}\right]$, then A 2 – 5A is equal to

1 Mark(s)

Your Answer:

A) 2I A) 2I
B) 3I B) 3I
C) -2I C) -2I
D) null matrix D) null matrix

What is $43 \times 8$?

1 Mark(s)

Your Answer:

344 344
336 336
352 352
360 360

In two successive years, 100 and 75 students of a school appeared at the final examination. Respectively 75 % and 60 % of them passed. The average rate of pass is:_________?

1 Mark(s)

Your Answer:

68 4/7 % 68 4/7 %
78 % 78 %
80 % 80 %
80 4/7 % 80 4/7 %

A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m²?

1 Mark(s)

Your Answer:

Rs.60 Rs.60
Rs.57 Rs.57
Rs.55 Rs.55
Rs.52 Rs.52

The perimeter of the figure

1 Mark(s)

Your Answer:

A) 20 cm A) 20 cm
B) 10 cm B) 10 cm
C) 24 cm C) 24 cm
D) 15 cm. D) 15 cm.

Bilal’s room has a floor of 8m by 4m. He decides to tile the floor with tiles of 25cm x 20 cm. How many tiles will he need?

1 Mark(s)

Your Answer:

320 tiles 320 tiles
640 tiles 640 tiles
160 tiles 160 tiles
6.4 tiles 6.4 tiles

Arithmetic Mean is___________affected by extreme values?

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Your Answer:

Not Not
Highly Highly
Less Less
None of these None of these

LCM of 455, 117, 338 is________?

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Your Answer:

10670 10670
106470 106470
104670 104670
107470 107470

What is $\frac{11}{13} - \frac{6}{13}$?

1 Mark(s)

Your Answer:

$\frac{5}{13}$ $\frac{5}{13}$
$\frac{4}{13}$ $\frac{4}{13}$
$\frac{6}{13}$ $\frac{6}{13}$
$\frac{1}{2}$ $\frac{1}{2}$

The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by:________?

1 Mark(s)

Your Answer:

42% 42%
62% 62%
82% 82%
none of these none of these

A man can row three-quarters of a kilometer against the stream in 11 ¼ minutes and return in 7 ½ minutes. The speed of the man in still water is________?

1 Mark(s)

Your Answer:

2km/hr 2km/hr
3km/hr 3km/hr
4 km/hr 4 km/hr
5 km/hr 5 km/hr

Statistics is the backbone of_____________?

1 Mark(s)

Your Answer:

Economics Economics
Mathematics Mathematics
Research Research
Computer Computer

A car can travel 360km with a ¾ full tank. How many km can it travel with a 2/3 full tank?

1 Mark(s)

Your Answer:

400 400
320 320
240 240
300 300

If the sum and reciprocal of a number is equal to 2, the number is -

1 Mark(s)

Your Answer:

1 1
-1 -1
-2 -2
2 2

Measures of the two angles between hour and minute hands of a clock at 9 O’ 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 point P in Cartesian plane is located by an ordered pair called:

1 Mark(s)

Your Answer:

(c, b, a) (c, b, a)
(a, b, c) (a, b, c)
(a, b) (a, b)
(b, a) (b, a)

I. x² + 11x + 30 = 0,
II. y² + 15y + 56 = 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

In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?

1 Mark(s)

Your Answer:

8 8
12 12
6 6
14 14
None of these None of these

The fraction representing the shaded portion is

1 Mark(s)

Your Answer:

A) $\frac{1}{4}$ A) $\frac{1}{4}$
B) $\frac{3}{4}$ B) $\frac{3}{4}$
C) $\frac{1}{2}$ C) $\frac{1}{2}$
D) $\frac{1}{8}$ (\frac{1}{4}\) D) $\frac{1}{8}$ (\frac{1}{4}\)

A circle has:

1 Mark(s)

Your Answer:

A) two centres A) two centres
B) a fixed radius B) a fixed radius
C) at least one centre C) at least one centre
D) no radius. D) no radius.

Virahanka numbers are

1 Mark(s)

Your Answer:

A) 1,3,6, 10, 15… A) 1,3,6, 10, 15…
B) 1,2, 3, 5, 8… B) 1,2, 3, 5, 8…
C) 1, 8, 27, 64, 125… C) 1, 8, 27, 64, 125…
D) 1, 7, 19, 37… D) 1, 7, 19, 37…

What is the average of 1, 2, 3, 4, 5?

1 Mark(s)

Your Answer:

3 3
5 5
4 4
0 0

A number is divisible by 5, if it has

1 Mark(s)

Your Answer:

A) Only 0 in its ones place A) Only 0 in its ones place
B) 0 in its tens place B) 0 in its tens place
C) 0 or 5 in its ones place C) 0 or 5 in its ones place
D) 5 in its ones place D) 5 in its ones place

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

What is $21 \times 7$?

1 Mark(s)

Your Answer:

140 140
147 147
154 154
161 161

The equivalent fraction of $\frac{20}{36}$ with denominator 9 is

1 Mark(s)

Your Answer:

A) $\frac{4}{9}$ A) $\frac{4}{9}$
B) $\frac{5}{9}$ B) $\frac{5}{9}$
C) $\frac{7}{9}$ C) $\frac{7}{9}$
D) $\frac{8}{9}$ (\frac{5}{9}\) D) $\frac{8}{9}$ (\frac{5}{9}\)

Which of the following figures lie on the same base and between the same parallels? im-1

1 Mark(s)

Your Answer:

A) (i), (iv) A) (i), (iv)
B) (ii), (iii) B) (ii), (iii)
C) (ii), (iv) C) (ii), (iv)
D) (i) (iii) (i) (iii) D) (i) (iii) (i) (iii)

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs. ) is_________?

1 Mark(s)

Your Answer:

625 625
630 630
640 640
650 650

Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?

1 Mark(s)

Your Answer:

10 min 20 sec 10 min 20 sec
11 min 45 sec 11 min 45 sec
12 min 30 sec 12 min 30 sec
14 min 40 sec 14 min 40 sec

Rohan uses a trick to find a friend’s birthday. He tells his friend to multiply the month number M by 5, add 7, multiply by 4, add 13, and finally multiply the result by 5. Which algebraic expression represents this trick?

1 Mark(s)

Your Answer:

A) (5M + 7) × 4 + 13 × 5 A) (5M + 7) × 4 + 13 × 5
B) {(5M + 7) × 4 + 13} × 5 B) {(5M + 7) × 4 + 13} × 5
C) 5M + 7 + 4 + 13 + 5 C) 5M + 7 + 4 + 13 + 5
D) 5(M + 7 + 4 + 13) (5M + 7) × 4 + 13} × 5

In month of July, an estate agent gets a commission of $200 on his sale of apartment. He sells another apartment for $150 000 and gets a commission of 4.5%. The total commission an agent gets is:

1 Mark(s)

Your Answer:

$6,950 $6,950
$6,540 $6,540
$6,705 $6,705
$5,960 $5,960

The critical value of a test statistic is determined from_____________?

1 Mark(s)

Your Answer:

The sampling distribution of the statistics assuming Null Hypothesis
calculations based on many actual repetitions of the same Experiment
The sampling distribution of the statistic assuming Alternative Hypothesis.
Non of these Non of these

An event in the probability that will never be happened is called as -

1 Mark(s)

Your Answer:

Unsure event Unsure event
Sure event Sure event
Possible event Possible event
Impossible event Impossible event

A shopkeeper bought 10 machines for ₹ 7,50,000 from a wholesale store. He marked the price of each machine as ₹ 80,000. If he sold each machine after a discount of 10%, which of the following is his overall profit or loss?

1 Mark(s)

Your Answer:

A) A loss of ₹ 30,000 A) A loss of ₹ 30,000
B) A loss of ₹ 80,000 B) A loss of ₹ 80,000
C) A profit of ₹ 30,000 C) A profit of ₹ 30,000
D) A profit of ₹ 80,000 D) A profit of ₹ 80,000

What is $\frac{2}{3}$ of \$60$?

1 Mark(s)

Your Answer:

40 40
45 45
50 50
35 35

In CPI household budget method also known as:_____________?

1 Mark(s)

Your Answer:

Simple average of relatives Simple average of relatives
Average of weights Average of weights
Weighted average of relatives Weighted average of relatives
All of above All of above

What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?

1 Mark(s)

Your Answer:

Rs. 3944 Rs. 3944
Rs. 3828 Rs. 3828
Rs. 4176 Rs. 4176
None of these None of these

Sampling errors are reduced by:___________________?

1 Mark(s)

Your Answer:

Increasing the sample size Increasing the sample size
Decreasing the sample size Decreasing the sample size
Increasing population s.d. Increasing population s.d.
None of these None of these

In the questions given below, there are two statements marked as Assertion (A) and Reason (R). Read the statements and choose the correct option.

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) 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. 1. Assertion (A): AB=6 cm, BC=8 cm and AC =14 cm can be the sides of a Δ. Reason (R) : AB+AC>BC. (A) is false but (R) is true. 2. Assertion (A) : A ΔABC with ∠A=70° and ∠B=120° can not be constructed. Reason (R) : For a Δ ABC, ∠ A+∠ B+∠ C= 180° (A) and (R) are true and R is the correct explanation of (A). 3. Assertion (A) : In the following figure ∠PRS is called an exterior angle. Reason (R) : An exterior angle is formed if any side of a Δ is extended. (A) and (R) are true and R is the correct explanation of (A). A Tale of Three Intersecting Lines Class 7 Fill in the blanks 1. In the given figure, (i) ∠B = ___ (ii) ∠C = ___ Answer: (i) ∠B = 55° (ii) ∠C = 55° 2. In the given figure, (i) ∠PQR = ___ (ii) ∠PRS = ___ (iii) ∠PRQ = ___ Answer: (i) ∠PQR = 80° (ii) ∠PRS = 130° (iii) ∠PRQ = 50° 3. The length of the third side of a triangle whose two sides are 5 cm and 6 cm must be less than (i) ___ and greater than (ii) ___ Answer: (i) 11 cm (ii) 1 cm 4. A triangle can have atmost _____ obtuse angle. Answer: One 5. Altitude is also called _____ of a triangle. Answer: height 6. A triangle with one angle equal to 90° is called a _____ triangle. Answer: height angled 7. In an isosceles triangle, _____ sides are equal. Answer: 2 8. The sum of the interior angles of a triangle is always _____ degrees. Answer: 180 A Tale of Three Intersecting Lines Class 7 True or False 1. An equilateral triangle can be a right triangle. Answer: False 2. The sum of the two sides of a triangle is greater than or equal to the third side. Answer: False 3. A triangle can have all three angles with measures less than 60°. Answer: False 4. The altitude of a triangle always lies outside the triangle. Answer: False 5. A triangle can have two obtuse and one acute angle. Answer: False 6. Sum of the measures of three angles of a triangle is greater than 180°. Answer: False 7. It is possible to have a triangle in which each angle is less than 60°. Answer: False 8. It is possible to have a right angled equilateral triangle. Answer: False 9. The difference between the length of any two sides of a triangle is smaller than the length of third side. Answer: True 10. In the following figure, the value of x is equal to 12 cm. Answer: False A Tale of Three Intersecting Lines Class 7 Match the Following

Fresh fruit contains 68 % water and dry fruit contains 20 % water. How much dry fruit can be obtained from 100 kg of fresh fruits?

1 Mark(s)

Your Answer:

32 kg 32 kg
40 kg 40 kg
52 kg 52 kg
80 kg 80 kg

A straight line which cuts the circumference of a circle in two distinct points is known as:

1 Mark(s)

Your Answer:

tangent tangent
secant secant
segment segment
sector sector

Evaluating Your Answers

Statistics Mock Test 6 : Question 1 of 57