Statistics Mock Test 5 - Online MCQ Exam

The value of $\frac{36}{9}$ is:

1 Mark(s)

Your Answer:

3 3
5 5
4 4
6 6

What is the principle amount which earns Rs.132 as compound interest for the second year at 10 % per annum?

1 Mark(s)

Your Answer:

Rs. 1000 Rs. 1000
Rs. 1200 Rs. 1200
Rs. 1320 Rs. 1320
None of these None of these

By converting the 0.96km² into m²(meter square), the answer will be:

1 Mark(s)

Your Answer:

9600m² 9600m²
960m² 960m²
0.96m² 0.96m²
960000m² 960000m²

A surd which has rational factor other than unity and the other factors being irrational is said to be:

1 Mark(s)

Your Answer:

mixed surd mixed surd
pure surd pure surd
similar surd similar surd
unlike surd unlike surd

In special rule of addition of probability, the events are Always:_______________?

1 Mark(s)

Your Answer:

Independent events Independent events
Mutually Exclusive events Mutually Exclusive events
Bayesian Bayesian
Empirical Empirical

12(13/18) + 16(11/27) – 10(5/9) = _________?

1 Mark(s)

Your Answer:

182/3 182/3
1831/54 1831/54
18 18
201/2 201/2

If a car travels at the speed of 'x' km⁄h then the distance car has travelled in 4 hours with same speed is:

1 Mark(s)

Your Answer:

70 km 70 km
45 km 45 km
4x km 4x km
4000 km 4000 km

According to the symmetric matrix, which of the following statement is correct?

1 Mark(s)

Your Answer:

A = AT A = AT
All the diagonal elements of a symmetric matrix are One.
A = -AT A = -AT
All the diagonal elements of a symmetric matrix are Zero.

Find the value: $70^2$

1 Mark(s)

Your Answer:

4800 4800
4850 4850
4900 4900
4950 4950

P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?

1 Mark(s)

Your Answer:

9(3/5) days 9(3/5) days
9(1/5) days 9(1/5) days
9(2/5) days 9(2/5) days
10 days 10 days

The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?

1 Mark(s)

Your Answer:

Rs. 8400 Rs. 8400
Rs. 8721 Rs. 8721
Rs. 8856 Rs. 8856
None of these None of these

A single discount equivalent to the discount series of 20%, 10% and 5% is_______?

1 Mark(s)

Your Answer:

25% 25%
30% 30%
31.6% 31.6%
33.5% 33.5%

A car gives a mileage of 20 km per liter of petrol when driven at a constant speed of 50 kmph but the mileage decreases by 10% when driven at a speed of 70 kmph. How many km can the car travel with 12 liters of petrol if it travels a speed of 70 kmph?

1 Mark(s)

Your Answer:

216 km 216 km
240 km 240 km
228 km 228 km
200 km 200 km

A pictograph represents data in the form of

1 Mark(s)

Your Answer:

A) vertical bar A) vertical bar
B) horizontal bar B) horizontal bar
C) pictures C) pictures
D) None of these D) None of these

If you want to find a point that is equidistant from two given points, which geometrical instrument would you use?

1 Mark(s)

Your Answer:

A) Ruler A) Ruler
B) Compass B) Compass
C) Protractor C) Protractor
D) Set squares D) Set squares

The two regression co-efficient always have the __________ sign?

1 Mark(s)

Your Answer:

Different Different
Same Same
None of these None of these
+ve +ve

3/7 of 4/9 of 2/5 of 7560 = (?)2

1 Mark(s)

Your Answer:

18 18
22 22
24 24
26 26

Simplest form of p+p+p+p+p+p+p+q+p+q+p-q is:

1 Mark(s)

Your Answer:

A) 9 p+q A) 9 p+q
B) 9 p-q B) 9 p-q
C) 9 p-8 q C) 9 p-8 q
D) 9 p+3 q D) 9 p+3 q

The formula for the area of a triangle with base ‘b’ and height ‘h’ is

1 Mark(s)

Your Answer:

A) b + h A) b + h
B) b × h B) b × h
C) $\frac {1}{2}$ × b × h C) $\frac {1}{2}$ × b × h
D) 2b + 2h (\frac {1}{2}\) × b × h D) 2b + 2h (\frac {1}{2}\) × b × h

The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?

1 Mark(s)

Your Answer:

21 21
22 22
23 23
24 24

Let the two numbers be 36 and 42. If both numbers are increased by 1, the increase in its product is

1 Mark(s)

Your Answer:

A) 78 A) 78
B) 79 B) 79
C) 81 C) 81
D) 80 D) 80

I. 9a2 + 18a + 5 = 0, II. 2b2 + 13b + 20 = 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 a < b If a < b
If a ≤ b If a ≤ b

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

The average weight of \$8$ persons increases by \$2.5$ kg when a new person replaces one of them weighing \$65$ kg. Find the weight of the new person.

1 Mark(s)

Your Answer:

80 kg 80 kg
85 kg 85 kg
90 kg 90 kg
82 kg 82 kg

Sum of 4 a-2 b+c and -4 a+2 b-c is:

1 Mark(s)

Your Answer:

A) 8a A) 8a
B) 4b B) 4b
C) 2c C) 2c
D) 0 D) 0

The methods to solve a pair of simultaneous linear equations are:

1 Mark(s)

Your Answer:

3 3
2 2
4 4
5 5

The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?

1 Mark(s)

Your Answer:

8 8
12 12
6 6
2 2

If the number of columns and rows are not equal in a matrix, then it is said to be a:

1 Mark(s)

Your Answer:

rectangular matrix rectangular matrix
square matrix square matrix
diagonal matrix diagonal matrix
null matrix null matrix

The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?

1 Mark(s)

Your Answer:

15 5/15% 15 5/15%
18 2/11% 18 2/11%
16 2/3% 16 2/3%
30% 30%

If x + $\frac{1}{x}$ = 5, then x 2 + $\frac{1}{x^2}$ =

1 Mark(s)

Your Answer:

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

A fair coin toss the total events in sample space equal_____________?

1 Mark(s)

Your Answer:

7 7
16 16
36 36
6 6

What is $29 \times 7$?

1 Mark(s)

Your Answer:

196 196
203 203
210 210
217 217

Which of the following is impossible in sampling ?

1 Mark(s)

Your Answer:

Destructive tests Destructive tests
Heterogeneous data Heterogeneous data
To make voters lists To make voters lists
None of these None of these

The water in a rectangular reservoir having a base 80m by 60m is 6.5m deep.In what time can the water be amplified by a pipe of which the cross section is a square of a side 20cm if the water runs through the pipe at the rate of 15km per hour?

1 Mark(s)

Your Answer:

26hours 26hours
42hours 42hours
52hours 52hours
65hours 65hours

If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction.

1 Mark(s)

Your Answer:

1/12 1/12
1/8 1/8
1/6 1/6
1/4 1/4

Excluding stoppages, the average speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

1 Mark(s)

Your Answer:

9 9
10 10
12 12
20 20

If 25 men can eat 150 kg of wheat in 30 days then 45 men can eat 450 kg of wheat in how many days?

1 Mark(s)

Your Answer:

13 days 13 days
50 days 50 days
15 days 15 days
18 days 18 days

The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?

1 Mark(s)

Your Answer:

18, 20, 22 18, 20, 22
20, 22, 24 20, 22, 24
22, 24, 26 22, 24, 26
24, 26, 28 24, 26, 28

Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?

1 Mark(s)

Your Answer:

Rs. 1883.78 Rs. 1883.78
Rs. 2380 Rs. 2380
Rs. 3690 Rs. 3690
Rs. 3864 Rs. 3864

Considering the following pattern 2² + 1 = 5, 3² + 1 = 10, 4² + 17, 5² + 1 = 26, . . . . . . ., the 8th line in the pattern is:

1 Mark(s)

Your Answer:

7² + 1 = 50 7² + 1 = 50
9² + 1 = 82 9² + 1 = 82
8² + 1 = 64 8² + 1 = 64
10² + 1 = 101 10² + 1 = 101

If we reject the null hypothesis, we might be making____________?

1 Mark(s)

Your Answer:

Unpredictable Unpredictable
A correct Decision A correct Decision
Type-II Error Type-II Error
Type-Error Type-Error

Two numbers are in the ratio 5:4 and their difference is 10.What is the largest number?

1 Mark(s)

Your Answer:

40 40
50 50
60 60
30 30

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

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

1 Mark(s)

Your Answer:

344.35 cm2 344.35 cm2
344.35 cm2 344.35 cm2
344.35 cm2 344.35 cm2
None of these None of these

When 2 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?

1 Mark(s)

Your Answer:

40 40
50 50
60 60
70 70
None of these None of these

A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?

1 Mark(s)

Your Answer:

Rs.270 Rs.270
Rs.185 Rs.185
Rs.215 Rs.215
Rs.380 Rs.380

0.003 * ? * 0.0003 = 0.00000027

1 Mark(s)

Your Answer:

9 9
3 3
0.3 0.3
0.03 0.03

A coin is tossed live times. What is the probability that there is at the least one tail?

1 Mark(s)

Your Answer:

31/32 31/32
1/16 1/16
1/2 1/2
1/32 1/32

γxy is always equal to_____________?

1 Mark(s)

Your Answer:

γyx γyx
-γyx -γyx
γx γx
γo2 γo2

If $x^4 + \frac{1}{x^4} = 119$, find $x^3 - \frac{1}{x^3}$

1 Mark(s)

Your Answer:

33 33
36 36
39 39
42 42

The method to derive a quadratic formula is:

1 Mark(s)

Your Answer:

completing square method completing square method
factorization method factorization method
synthetic method synthetic method
using formula method using formula method

The number of distinct prime factors of the largest 4- digit number is

1 Mark(s)

Your Answer:

A) 2 A) 2
B) 3 B) 3
C) 5 C) 5
D) 11 D) 11

What is Ceil function?

1 Mark(s)

Your Answer:

It maps the real number to the greatest previous integer
It maps the real number to the smallest previous integer
It maps the real number to the smallest following integer
None of the mentioned None of the mentioned

Find the H.C.F of 54/9, 3 9/17 and 36/51?

1 Mark(s)

Your Answer:

17/6 17/6
6/153 6/153
6 6
17 17

5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?

1 Mark(s)

Your Answer:

3800 3800
4200 4200
4400 4400
5500 5500

A mixture of \$80$ liters contains milk and water in ratio \$5:3$. How much water should be added to make the ratio \$1:1$?

1 Mark(s)

Your Answer:

20 liters 20 liters
22 liters 22 liters
25 liters 25 liters
18 liters 18 liters

If a baker bakes 50 chocolate cakes and sold only 35 cakes then the percentage of sold cakes is:

1 Mark(s)

Your Answer:

80% 80%
70% 70%
85% 85%
75% 75%

If you start with the number 1 and keep adding 2, what sequence are you creating?

1 Mark(s)

Your Answer:

A) Even numbers A) Even numbers
B) Prime numbers B) Prime numbers
C) Odd numbers C) Odd numbers
D) Square numbers D) Square numbers

How many stages of demographic transition?

1 Mark(s)

Your Answer:

Two Two
Three Three
Four Four
Five Five

Three flags each of different colours are available for a military exercise, Using these flags different codes can be generated by waving
I. Single flag of different colours
II. Any two flags in a different sequence of colours.
III. three flags in a different sequence of colours.
The maximum number of codes that can be generated is.

1 Mark(s)

Your Answer:

6 6
9 9
15 15
18 18

The curved surface of a sphere is 64 π cm2. Find its radius?

1 Mark(s)

Your Answer:

1 cm 1 cm
2 cm 2 cm
4 cm 4 cm
3 cm 3 cm

If r cosθ = √3, and r sinθ = 1, what is the value of r2 tanθ?

1 Mark(s)

Your Answer:

4/√3 4/√3
√3/4 √3/4
√3 √3
None of the above None of the above

The probability of throwing a number greater than 2 with fair die is:

1 Mark(s)

Your Answer:

A) $\frac{2}{3}$ A) $\frac{2}{3}$
B) $\frac{3}{4}$ B) $\frac{3}{4}$
C) $\frac{1}{6}$ C) $\frac{1}{6}$
D) $\frac{5}{6}$ (\frac{2}{3}\) D) $\frac{5}{6}$ (\frac{2}{3}\)

On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is________?

1 Mark(s)

Your Answer:

10% 10%
10.5% 10.5%
12% 12%
None of these None of these

Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?

1 Mark(s)

Your Answer:

56 56
42 42
38 38
34 34

A money lender borrows money at 4% P.a and pays interest at the end of the year. He lends it at 6% P.a compound interest compounded half-yearly and receives the interest at the end of the year. Thus be gains Rs 104.50 a year. The amount of money he borrows is_________?

1 Mark(s)

Your Answer:

Rs 4500 Rs 4500
Rs 5000 Rs 5000
Rs 5500 Rs 5500
Rs 6000 Rs 6000

If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.

1 Mark(s)

Your Answer:

15 15
14 14
16 16
13 13

A man buys Rs. 25 shares in a company which pays 9% dividend . The money invested is such that it gives 10% on investment. At what price did he buy the shares?

1 Mark(s)

Your Answer:

Rs.22 Rs.22
Rs.22.50 Rs.22.50
Rs.25 Rs.25
Rs.22.50 Rs.22.50

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Statistics Mock Test 5 : Question 1 of 68