Statistics Mock Test 16 - Online MCQ Exam

Assertion (A) The common factors of two numbers can never be greater than the smaller number. Reason (R) Factors are numbers that divide another number completely.

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) are 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. (A) and (R) are true and (R) is the correct explanation of (A).

If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is_________?

1 Mark(s)

Your Answer:

15.12 sq.cm 15.12 sq.cm
13.52 sq.cm 13.52 sq.cm
12.62 sq.cm 12.62 sq.cm
10 sq.cm 10 sq.cm

If $x - \frac{1}{x} = 4$, find $x^2 + \frac{1}{x^2}$

1 Mark(s)

Your Answer:

16 16
18 18
20 20
22 22

A person buys goods worth $₹1500$ and sells them at a profit equal to the discount he received. If he marks the goods at $₹2000$, find his profit percentage.

1 Mark(s)

Your Answer:

0.4 0.4
0.5 0.5
0.6 0.6
0.75 0.75

If the value of tan θ = 4/3, then which of the following is the correct value of (3 sin θ + 2 cos θ) / (3 sin θ - 2 cos θ) =?

1 Mark(s)

Your Answer:

1 1
-3 -3
2 2
3 3

A person marks goods at $x\%$ above cost and allows a discount of $\frac{x}{2}\%$. If he makes a profit of \$8\%$, find $x$.

1 Mark(s)

Your Answer:

20 20
25 25
30 30
40 40

The diagonals of a rhombus are 12 cm and 16 cm. Its area is ______ cm 2

1 Mark(s)

Your Answer:

A) 96 A) 96
B) 100 B) 100
C) 120 C) 120
D) 80 D) 80

Rayan crosses a 400m bridge in 3 minutes. What is speed?

1 Mark(s)

Your Answer:

133.33 kmph 133.33 kmph
1.33 kmph 1.33 kmph
4 kmph 4 kmph
8 kmph 8 kmph

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

Which of the following is equivalent to 0.23?

1 Mark(s)

Your Answer:

A) $\frac{2}{10}$ + $\frac{3}{100}$ A) $\frac{2}{10}$ + $\frac{3}{100}$
B) $\frac{2}{100}$ + $\frac{3}{10}$ B) $\frac{2}{100}$ + $\frac{3}{10}$
C) $\frac{23}{10}$ C) $\frac{23}{10}$
D) $\frac{23}{100}$ (\frac{23}{100}\) D) $\frac{23}{100}$ (\frac{23}{100}\)

The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?

1 Mark(s)

Your Answer:

12 π cm3 12 π cm3
6 π cm3 6 π cm3
8 π cm3 8 π cm3
10 π cm3 10 π cm3

A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?

1 Mark(s)

Your Answer:

4 1/3 hrs 4 1/3 hrs
7 hrs 7 hrs
8 hrs 8 hrs
14 hrs 14 hrs

After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?

1 Mark(s)

Your Answer:

Rs. 6400 Rs. 6400
Rs. 5600 Rs. 5600
Rs. 5000 Rs. 5000
Rs. 4800 Rs. 4800
None of these None of these

If you are facing South and turn through a straight angle in which direction will you face now?

1 Mark(s)

Your Answer:

A) South A) South
B) North B) North
C) East C) East
D) West D) West

Ana runs a merchandiser store. She wants to buy 500 note books for her store. She will get 300 note books for $2500. The next 200 note books are for $4 per notebook. If the total cost for note books is $3300 and 12% discount is given then the total cost for note books is:

1 Mark(s)

Your Answer:

$2,560 $2,560
$2,904 $2,904
$2,850 $2,850
$2,890 $2,890

Prime factorization of 54 is:

1 Mark(s)

Your Answer:

A) 2 × 27 A) 2 × 27
B) 2 × 3 × 9 B) 2 × 3 × 9
C) 54 × 1 C) 54 × 1
D) 2 × 3 D) 2 × 3

Converting the cm² into the m², the 6.5cm² is equal to:

1 Mark(s)

Your Answer:

0.00065m² 0.00065m²
0.0065m² 0.0065m²
0.65m² 0.65m²
65m² 65m²

Kamal will complete work in 20 days. If Suresh is 25% more efficient than Kamal, he can complete the work in________days.

1 Mark(s)

Your Answer:

14 14
16 16
15 15
11 11

40% of a number is more than 20% of 650 by 190. Find the number?

1 Mark(s)

Your Answer:

600 600
700 700
800 800
900 900

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

Which of the following pairs fractions are not equivalent?

1 Mark(s)

Your Answer:

A) $\frac{1}{2}, \frac{2}{3}$ A) $\frac{1}{2}, \frac{2}{3}$
B) $\frac{4}{5}, \frac{12}{15}$ B) $\frac{4}{5}, \frac{12}{15}$
C) $\frac{6}{7}, \frac{12}{14}$ C) $\frac{6}{7}, \frac{12}{14}$
D) $\frac{4}{9}, \frac{36}{81}$ (\frac{1}{2}, \frac{2}{3}\)

Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?

1 Mark(s)

Your Answer:

480 liters 480 liters
540 liters 540 liters
600 liters 600 liters
675 liters 675 liters

__________ is the process of using sample information to reach?

1 Mark(s)

Your Answer:

Population Population
Biased Biased
Unbiased Unbiased
Increase Increase

The ratio of 8 L of 1 L 600 ml is

1 Mark(s)

Your Answer:

A) 1: 5 A) 1: 5
B) 5 : 2 B) 5 : 2
C) 5 : 1 C) 5 : 1
D) 2 : 5 D) 2 : 5

What is the common difference of an AP in which a 24 – a 17 = – 28?

1 Mark(s)

Your Answer:

A) 8 A) 8
B) – 8 B) – 8
C) – 4 C) – 4
D) 4 D) 4

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

Assertion (A) 6838 is a perfect square number. Reason (R) A perfect square number can never have 8 at unit place.

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 are 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. D) A is false but R is true.

What is \$20\%$ of \$150$?

1 Mark(s)

Your Answer:

30 30
35 35
40 40
25 25

Area of a rectangle =

1 Mark(s)

Your Answer:

A) Length × Breadth A) Length × Breadth
B) Length + Breadth B) Length + Breadth
C) 2 × (Length + Breadth) C) 2 × (Length + Breadth)
D) 2 × (Length × Breadth). D) 2 × (Length × Breadth).

(i). a2 – 9a + 20 = 0, (ii). 2b2 – 5b – 12 = 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

A zero matrix ‘O’ of order m-by-n and A + O = O + A = A, then the matrix is said to be:

1 Mark(s)

Your Answer:

additive identity matrix additive identity matrix
null/zero matrix null/zero matrix
symmetric symmetric
skew symmetric skew symmetric

A plane with ten edges as its sides is called:

1 Mark(s)

Your Answer:

octagon octagon
decagon decagon
pentagon pentagon
hexagon hexagon

Let g(x) = x 2 – 4x – 5, then

1 Mark(s)

Your Answer:

A) g is one-one on R A) g is one-one on R
B) g is not one-one on R B) g is not one-one on R
C) g is bijective on R C) g is bijective on R
D) None of these D) None of these

If there is a total of 104 weekly instalments and a third deposit, find the interest charged

1 Mark(s)

Your Answer:

237.55 237.55
337 337
443 443
334 334

A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.

1 Mark(s)

Your Answer:

Rs.2205 Rs.2205
Rs.2200 Rs.2200
Rs.2160 Rs.2160
Rs.2040 Rs.2040

The quotient of -144 and -12 is:

1 Mark(s)

Your Answer:

12 12
−12 −12
16 16
−16 −16

How much would a sum of Rs 16000 approximately amount to in 2 years at 10% P.a compounded half-yearly?

1 Mark(s)

Your Answer:

Rs 17423 Rs 17423
Rs 18973 Rs 18973
Rs 19448 Rs 19448
Rs 19880 Rs 19880

The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is_________?

1 Mark(s)

Your Answer:

3:8 3:8
9:16 9:16
9:32 9:32
9:64 9:64

a – b = 7 and ab = 9, then a 2 + b 2 =

1 Mark(s)

Your Answer:

A) 31 A) 31
B) 67 B) 67
C) 40 C) 40
D) 58 D) 58

If a x (b −c) is 8 for a = 2, b = 10 and c = 6 then a x b − a x c is equal to:

1 Mark(s)

Your Answer:

(−8) (−8)
12 12
10 10
8 8

A list of sample _________ is called sample space?

1 Mark(s)

Your Answer:

Events Events
Subset Subset
Piont Piont
Distinct Distinct

The value of third proportional to 4, 12 should be:

1 Mark(s)

Your Answer:

33 33
34 34
35 35
36 36

A picture of Taj Mahal has

1 Mark(s)

Your Answer:

A) one line of symmetry A) one line of symmetry
B) no line of symmetry B) no line of symmetry
C) two lines of symmetry C) two lines of symmetry
D) none of above D) none of above

The average of \$10$ numbers is \$40$. If two numbers \$45$ and \$55$ are removed, find the new average.

1 Mark(s)

Your Answer:

36 36
37 37
38 38
37.5 37.5

Let the players who play cricket be 12, the ones who play football 10, those who play only cricket are 6, then the number of players who play only football are ___________, assuming there is a total of 16 players.

1 Mark(s)

Your Answer:

16 16
8 8
4 4
10 10

What is perimeter of a rectangle =

1 Mark(s)

Your Answer:

A) Length × Breadth A) Length × Breadth
B) Length + Breadth B) Length + Breadth
C) 2 × (Length + Breadth) C) 2 × (Length + Breadth)
D) 2 × (Length × Breadth). D) 2 × (Length × Breadth).

After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?

1 Mark(s)

Your Answer:

38 liters 38 liters
40 liters 40 liters
38.5 liters 38.5 liters
2 liters 2 liters

Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?

1 Mark(s)

Your Answer:

425 425
476 476
450 450
350 350

Single number which shows ___________ changes in a phenomenon is called an Index Number?

1 Mark(s)

Your Answer:

Overall Overall
Same Same
Variation Variation
Capable Capable

What is the 100th term of the sequence 1, 1, 1, 1, ……….?

1 Mark(s)

Your Answer:

A) 1 A) 1
B) 100 B) 100
C) 50 C) 50
D) 200. D) 200.

A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?

1 Mark(s)

Your Answer:

70, 50 70, 50
60, 60 60, 60
50, 70 50, 70
40, 80 40, 80

The diagonal of a square is 4√2cm. The diagonal is another square whose area is double that of the first square is__________?

1 Mark(s)

Your Answer:

8cm 8cm
8√2cm 8√2cm
16cm 16cm
4√2cm 4√2cm

Evaluating Your Answers

Statistics Mock Test 16 : Question 1 of 52