Statistics Mock Test 12 - Online MCQ Exam

Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively. Simultaneously both the pipes are opened together, then after how much time Q should be closed so that the tank is full in 9 min ?

1 Mark(s)

Your Answer:

2 min 2 min
3 min 3 min
4 min 4 min
5 min 5 min

What is the probability of getting an even number when a dice is thrown?

1 Mark(s)

Your Answer:

1/6 1/6
1/2 1/2
1/3 1/3
1/4 1/4

The obtuse-angled triangle must have:

1 Mark(s)

Your Answer:

four obtuse angles four obtuse angles
three obtuse angles three obtuse angles
two obtuse angles two obtuse angles
one obtuse angle one obtuse angle

The perimeter of circle field and a square field are equal. If the area of these square field is 12100m2, the area of a circular field will be_________?

1 Mark(s)

Your Answer:

15500Sq.m 15500Sq.m
15400Sq.m 15400Sq.m
15200Sq.m 15200Sq.m
15300Sq.m 15300Sq.m

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

1 Mark(s)

Your Answer:

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

As the normal distribution is symmetrical, its mean, median and mode are:____________?

1 Mark(s)

Your Answer:

Coincide Coincide
Not equal Not equal
Different Different
None of These None of These

Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in_________?

1 Mark(s)

Your Answer:

6 hours 6 hours
6 2/3 hours 6 2/3 hours
7 hours 7 hours
7 1/2 hours 7 1/2 hours

Statistic is a numerical quantity, which is calculated from?

1 Mark(s)

Your Answer:

Population Population
Sample Sample
Data Data
Observations Observations

What is probability of drawing two clubs from a well shuffled pack of 52 cards?

1 Mark(s)

Your Answer:

13/51 13/51
1/17 1/17
1/26 1/26
13/17 13/17

Which of the following is the correct value of cos2 550 + cos2 350 + sin2 650 + sin2 250?

1 Mark(s)

Your Answer:

0 0
3 3
2 2
None of the above None of the above

Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?

1 Mark(s)

Your Answer:

1 hr 1 hr
2 hrs 2 hrs
6 hrs 6 hrs
8 hrs 8 hrs

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

Universal logic gate is__________.

1 Mark(s)

Your Answer:

OR OR
NOT NOT
NAND NAND
AND AND

Divide: $\frac{8}{9}$ by $\frac{2}{3}$

1 Mark(s)

Your Answer:

A) $\frac{4}{9}$ A) $\frac{4}{9}$
B) $\frac{6}{9}$ B) $\frac{6}{9}$
C) $\frac{12}{9}$ C) $\frac{12}{9}$
D) $\frac{8}{6}$ (\frac{8}{6}\) D) $\frac{8}{6}$ (\frac{8}{6}\)

If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is_______?

1 Mark(s)

Your Answer:

1.44% loss 1.44% loss
14.4% profit 14.4% profit
14.4% loss 14.4% loss
0% 0%
None of these None of these

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman ?

1 Mark(s)

Your Answer:

3 : 4 3 : 4
4 : 3 4 : 3
5 : 3 5 : 3
Data inadequate Data inadequate

What did the Mayans uses as the symbol for zero or nothing?

1 Mark(s)

Your Answer:

A) A spiral A) A spiral
B) A dot B) A dot
C) A bar C) A bar
D) A seashell D) A seashell

When a polygon's all sides and angles are equal, it is said to be:

1 Mark(s)

Your Answer:

reflective reflective
quadrilateral quadrilateral
regular regular
vertical vertical

If the side of a square is increased by 25 % then how much percent does it’s area get increased:

1 Mark(s)

Your Answer:

125 125
156.25 156.25
50 50
56.25 56.25

Which of the following list of numbers forms an AP?

1 Mark(s)

Your Answer:

A) √3, √6, √9, √12, ……… A) √3, √6, √9, √12, ………
B) 1 2 , 3 2 , 5 2 , 7 2 , ……… B) 1 2 , 3 2 , 5 2 , 7 2 , ………
C) 1 2 , 5 2 , 7 2 , 73, ………. C) 1 2 , 5 2 , 7 2 , 73, ……….
D) a, a 2 , a 3 , a 4 , ………. D) a, a 2 , a 3 , a 4 , ……….

The perimeter of a triangle is 81 cm. If the sides are in the ratio 4:3:2, find the length of the largest side.

1 Mark(s)

Your Answer:

45 cm 45 cm
40 cm 40 cm
36 cm 36 cm
27 cm 27 cm

Total area under the normal curve is________?

1 Mark(s)

Your Answer:

100 100
1 1
50% 50%
1% 1%

If the sum of the digits of a two-digit number is 12, and the difference between the digits of that number is 6, what will be the number?

1 Mark(s)

Your Answer:

36 or 63 36 or 63
22 or 22 22 or 22
39 or 93 39 or 93
25 or 52 25 or 52

A random variable X has binomial distribution with n = 10 and p = 0.3 then variance of X is:_____________________?

1 Mark(s)

Your Answer:

10 10
12 12
2.1 2.1
21 21
None None

Assertion (A) The number 49 is written as XLIX in Roman numerals. Reason (R) In Roman numerals, when a smaller value precedes a larger one, it is subtracted.

1 Mark(s)

Your Answer:

A) Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
B) Both Assertion and Reason are true, but Reason is not the correct explanation for Assertion.
C) Assertion is true, but Reason is false.
D) Assertion is false, but Reason is true.

By solving -2 + 8 + ( -24 ⁄ -2), the answer is:

1 Mark(s)

Your Answer:

−18 −18
18 18
−12 −12
12 12

The square of 18 is:

1 Mark(s)

Your Answer:

324 324
369 369
144 144
342 342

A person sells two articles at $₹990$ each. On one he gains \$10\%$ and on the other he loses \$10\%$. Find his overall gain or loss percentage.

1 Mark(s)

Your Answer:

No profit no loss No profit no loss
1% loss 1% loss
1% gain 1% gain
2% loss 2% loss

The area of a square (in sq units) with side (a + 4) is

1 Mark(s)

Your Answer:

A) a 2 +8a + 8 A) a 2 +8a + 8
B) a 2 + 8a + 16 B) a 2 + 8a + 16
C) a 2 – 8a + 16 C) a 2 – 8a + 16
D) a 2 – 8a – 16 D) a 2 – 8a – 16

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

If a cuboid is 2.7cm high, 7.8cm long and 3.7 wide then the volume of cuboid is:

1 Mark(s)

Your Answer:

77.922cm³ 77.922cm³
82.987cm³ 82.987cm³
83.456m³ 83.456m³
85.687cm³ 85.687cm³

If any statistical tool apply on primary data it becomes a__________?

1 Mark(s)

Your Answer:

Primary data Primary data
Secondary data Secondary data
Raw data Raw data
None of these None of these

What is the area of a square field whose diagonal of length 20 m?

1 Mark(s)

Your Answer:

300 sq m 300 sq m
250 sq m 250 sq m
200 sq m 200 sq m
400 sq m 400 sq m

What is the reciprocal of $\frac{5}{8}$, and how is it used in fraction division?

1 Mark(s)

Your Answer:

A) $\frac{8}{5}$, multiply by the reciprocal
B) $\frac{5}{8}$, subtract it from the fraction
C) $\frac{1}{2}$, add it to the fraction
D) $\frac{1}{2}$ divide the original fraction by it (\frac{8}{5}\), multiply by the reciprocal

Out of 100 students, 50 failed in English and 30 in Mathematics. If 12 students fail in both English and Mathematics. Then the number of students who passed in both the subjects is__________?

1 Mark(s)

Your Answer:

26 26
28 28
30 30
32 32

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 variance of a constant is_______________?

1 Mark(s)

Your Answer:

Zero Zero
Constant Constant
a a
None None

Evaluating Your Answers

Statistics Mock Test 12 : Question 1 of 37