Statistics Mock Test 18 - Online MCQ Exam

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

Var (kY)= ____________?

1 Mark(s)

Your Answer:

k Var (Y) k Var (Y)
k2 Var(Y) k2 Var(Y)
Var(Y) Var(Y)
k2 k2

Which of the following is a binomial iny?

1 Mark(s)

Your Answer:

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

If two matrices A and B have the same order and their corresponding elements are equal then it is called:

1 Mark(s)

Your Answer:

matrix equality matrix equality
rectangular matrix rectangular matrix
square matrix square matrix
identical matrix identical matrix

A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the solid is three times the volume of the cone then the height of the cylinder is________?

1 Mark(s)

Your Answer:

2h 2h
4h 4h
2h/3 2h/3
3h/2 3h/2

Two chords of a circle which are equidistant from the center are:

1 Mark(s)

Your Answer:

collinear collinear
non-collinear non-collinear
non-congruent non-congruent
congruent congruent

Naeem sold a computer for Rs 25000 at which he suffered 20 Percent loss. Find the purchase price of the computer?

1 Mark(s)

Your Answer:

31000 31000
41250 41250
31250 31250
None of These None of These

The value of (2.75)3 – (2.00)3 – (0.75)3 is__________?

1 Mark(s)

Your Answer:

3 * 2.75 * 2.75 * 2.75 3 * 2.75 * 2.75 * 2.75
3 * 2.00 * 2.00 * 2.00 3 * 2.00 * 2.00 * 2.00
3 * 2.75 * 0.75 * 2.75 3 * 2.75 * 0.75 * 2.75
4.5 * 2.75 4.5 * 2.75

The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

1 Mark(s)

Your Answer:

140 140
156 156
175 175
214 214

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

If $\left|\begin{array}{cc} 2 x & 5 \\ 8 & x \end{array}\right|=\left|\begin{array}{cc} 6 & -2 \\ 7 & 3 \end{array}\right|$, then the value of x is

1 Mark(s)

Your Answer:

A) 3 A) 3
B) ±3 B) ±3
C) ±6 C) ±6
D) 6 D) 6

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every Third day ?

1 Mark(s)

Your Answer:

12 days 12 days
15 days 15 days
16 days 16 days
18 days 18 days

What is $37 \times 9$?

1 Mark(s)

Your Answer:

324 324
333 333
342 342
351 351

In a ship the provisions are sufficient for 800 men for 50 days. How long will these be sufficient for if there would have been 200 more men?

1 Mark(s)

Your Answer:

40 40
50 50
30 30
56 56

If $\log_{10} 2 = 0.301$, find $\log_{10} 200$

1 Mark(s)

Your Answer:

2.201 2.201
2.301 2.301
2.401 2.401
2.501 2.501

Random samples of size 17 are from a population that has 200 elements, a mean of 36, and a standard deviation of 8. which of the following best describes the from of the sampling distribution of the sample mean for this situation ?

1 Mark(s)

Your Answer:

Approximately normal because the sample size is small relative to the population size
Approximately normal because of the central limit theorem
Exactly Exactly
None of these alternatives is correct None of these alternatives is correct

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

An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?

1 Mark(s)

Your Answer:

Rs. 3642.40 Rs. 3642.40
Rs. 3868.80 Rs. 3868.80
Rs. 4216.20 Rs. 4216.20
Rs. 4082.40 Rs. 4082.40

What is $5^2 + 3^2$?

1 Mark(s)

Your Answer:

34 34
32 32
36 36
38 38

A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.

1 Mark(s)

Your Answer:

Rs.2520 Rs.2520
Rs.3120 Rs.3120
Rs.3320 Rs.3320
Rs.2760 Rs.2760
None of these None of these

A rectangle is divided into two congruent triangles by drawing its diagonal. The area of each triangle is

1 Mark(s)

Your Answer:

A) equal to the area of the rectangle A) equal to the area of the rectangle
B) double the area of the rectangle B) double the area of the rectangle
C) half the area of the rectangle C) half the area of the rectangle
D) one-fourth the area of the rectangle D) one-fourth the area of the rectangle

I. a² – 13a + 42 = 0,
II. b² – 15b + 56 = 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.

Binomial distribution is used when n is ____________________?

1 Mark(s)

Your Answer:

Large Large
Small Small
Zero Zero
Normal Normal

What is meant by Prime Numbers?

1 Mark(s)

Your Answer:

divided by any Number divided by any Number
divided by Even Numbers divided by Even Numbers
divided by Number 1 & by itself Number divided by Number 1 & by itself Number
divided by Odd Numbers divided by Odd Numbers

Joseph has 10 candies. He gave 4 candies to John and John returned 2 candies to Joseph after few days. The number of candies Joseph has altogether are:

1 Mark(s)

Your Answer:

8 8
−8 −8
10 10
−10 −10

120 – 18 + 12 – 10 can be written using brackets as

1 Mark(s)

Your Answer:

A) 120 – (18 + 12 + 10) A) 120 – (18 + 12 + 10)
B) 120 + (18 – 12 – 10) B) 120 + (18 – 12 – 10)
C) 120 – (18 + 12 – 10) C) 120 – (18 + 12 – 10)
D) None of the above D) None of the above

According to Distributive Law of Multiplication over Addition, the a x ( b + c ) must be equal to:

1 Mark(s)

Your Answer:

a x c − b x c a x c − b x c
a − b x c − b a − b x c − b
a x b + a x c a x b + a x c
a x b − a x c a x b − a x c

Who was Blaise Pascal?

1 Mark(s)

Your Answer:

English novelist English novelist
German physician German physician
Chinese politician Chinese politician
French mathematician French mathematician

In the given figure, ABCD is a square. If AC = 5√2 cm, then perimeter ABCD = __________

1 Mark(s)

Your Answer:

A) 20√2 cm A) 20√2 cm
B) 10 cm B) 10 cm
C) 20 cm C) 20 cm
D) 20√5 cm D) 20√5 cm

If the average room temperature on a normal day is 30.5°C then the room temperature in fahrenheit is

1 Mark(s)

Your Answer:

A) 82.6° A) 82.6°
B) 86.9° B) 86.9°
C) 91.6° C) 91.6°
D) 94.4° 9° D) 94.4° 9°

If x is a set and the set contains the real number between 1 and 2, then the set is ________.

1 Mark(s)

Your Answer:

Empty set Empty set
Finite set Finite set
Infinite set Infinite set
None of the mentioned None of the mentioned

Assertion (A) 1.032 Reason (R) We first compare the whole part then the tenths place digits and so on. If they are same at same place then continue the above process, else we are done with comparing.

1 Mark(s)

Your Answer:

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

What is the value of sin θ/(1 + cos θ) + sin θ/(1 - cos θ), where (00 < θ < 900)?

1 Mark(s)

Your Answer:

2cosec θ 2cosec θ
2tan θ 2tan θ
2cot θ 2cot θ
None of the above None of the above

Let A = {x : -1 ≤ x ≤ 1} and f : A → A is a function defined by f(x) = x |x| then f is

1 Mark(s)

Your Answer:

A) a bijection A) a bijection
B) injection but not surjection B) injection but not surjection
C) surjection but not injection C) surjection but not injection
D) neither injection nor surjection D) neither injection nor surjection

Which of the following number systems is in use presently

1 Mark(s)

Your Answer:

A) Binary A) Binary
B) Mayan B) Mayan
C) Chinese C) Chinese
D) Babylonian D) Babylonian

The ratio of the prices of three articles X, Y and Z is 8 : 5 : 3. If the prices of X , Y and Z are increased by 25%, 20% and 33 1/3% respectively, then what would be the ratio of the new prices of X, Y and Z?

1 Mark(s)

Your Answer:

5 : 3 : 1 5 : 3 : 1
5 : 3 : 2 5 : 3 : 2
10 : 7 : 4 10 : 7 : 4
10 : 8 : 5 10 : 8 : 5
None of these None of these

Usually measurements give rise to ________ data?

1 Mark(s)

Your Answer:

Discrete Discrete
Specific Specific
Continuous Continuous
Constant Constant

1 + cot²θ equals to:

1 Mark(s)

Your Answer:

sec²θ sec²θ
sin²θ sin²θ
cosec²θ cosec²θ
cos²θ cos²θ

In a certain normal distribution having µ = 35 and variance = 16, then mode will be_______________?

1 Mark(s)

Your Answer:

3.5 3.5
16 16
4 4
None of these None of these

The even number sequence is

1 Mark(s)

Your Answer:

A) 1, 2, 3, 4, 5,… , A) 1, 2, 3, 4, 5,… ,
B) 2, 4, 6, 8, 10,… B) 2, 4, 6, 8, 10,…
C) 1, 3, 5, 7, 9,… C) 1, 3, 5, 7, 9,…
D) 1, 4, 9, 16, 25,… D) 1, 4, 9, 16, 25,…

The sum of two multiple of 4 is always a multiple of

1 Mark(s)

Your Answer:

A) 3 A) 3
B) 5 B) 5
C) 7 C) 7
D) 4 D) 4

The nth even number is given by

1 Mark(s)

Your Answer:

A) n + 2 A) n + 2
B) 2n-1 B) 2n-1
C) 2n + 1 C) 2n + 1
D) 2n D) 2n

Comparing the times to failure of radar transponders made by firms A, B, and C based on an airline’s sample experience with the three types of instruments one may use____________?

1 Mark(s)

Your Answer:

Kolmogorov-Smirnor test Kolmogorov-Smirnor test
Wilcoxon Rank-Sum test Wilcoxon Rank-Sum test
Spearman Rank Correlation test Spearman Rank Correlation test
Kruskal-Wallis test Kruskal-Wallis test

Assertion (A) If 7, 14. 15 and x are in proportion then the value of x is 30. Reason (R) If a, b, c and d are in proportion then ad = bc.

1 Mark(s)

Your Answer:

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

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?

1 Mark(s)

Your Answer:

2 : 3 : 4 2 : 3 : 4
3 : 2 : 4 3 : 2 : 4
3: 2 : 1 3: 2 : 1
3: 4 : 7 3: 4 : 7

The area of a rectangle with length \$30$ cm and width \$6$ cm is:

1 Mark(s)

Your Answer:

160 cm² 160 cm²
170 cm² 170 cm²
180 cm² 180 cm²
190 cm² 190 cm²

Aftab bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?

1 Mark(s)

Your Answer:

Rs.20 Rs.20
Rs.18 Rs.18
Rs.22 Rs.22
Rs.16 Rs.16

A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?

1 Mark(s)

Your Answer:

Rs. 9025.20 Rs. 9025.20
Rs. 9200 Rs. 9200
Rs. 9600 Rs. 9600
Rs. 9560 Rs. 9560

Assertion (A) Sum of two positive numbers is’always negative. Reason (R) The addition is taking two or more numbers and adding them.

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) is false but (R) is true. Fill in the Blanks. 1. On the number line, -15 is to the ____________ of zero. Answer: Left 2. The number of integers lying between -5 and 5 is ____________ Answer: 9 3. ____________ – 3040 = -7910. Answer: -4870 4. The additive inverse of -1 is ____________ Answer: 1 5. The additive inverse of 0 is ____________ Answer: 0 True/False 1. Every positive integer is greater than every negative integer. Answer: True 2. The sum of any two negative integers is always smaller than both the integers. Answer: True 3. The sum of any two negative integers is always greater than both the integers. Answer: False 4. The sum of any two positive integers is greater than both the integers. Answer: True 5. The difference between an integer and its additive inverse is always even. Answer: True Match the Columns.

The G.C.D of 1.08, 0.36 and 0.9 is________?

1 Mark(s)

Your Answer:

0.03 0.03
0.9 0.9
0.18 0.18
0.108 0.108

What is $41 \times 6$?

1 Mark(s)

Your Answer:

240 240
246 246
252 252
258 258

By converting 75% into fraction, the answer will be:

1 Mark(s)

Your Answer:

3⁄4 3⁄4
2⁄3 2⁄3
1⁄3 1⁄3
1⁄4 1⁄4

Shreyash can count 20 coins every minute. The number of coins Shreyash can count in one day is:

1 Mark(s)

Your Answer:

A) 14400 A) 14400
B) 28800 B) 28800
C) 7200 C) 7200
D) 8400 D) 8400

(830 + ? * 3 * 14 / 100) – (830 * 14 * 3 / 100) = 20.16

1 Mark(s)

Your Answer:

24 24
36 36
48 48
None of these None of these

Consider the function y = 10 - 4x, if value of x = -1 then the value of 'y' is:

1 Mark(s)

Your Answer:

6 6
−2 −2
14 14
2 2

The sampling error is the_____________?

1 Mark(s)

Your Answer:

Same as the standard error of the mean Same as the standard error of the mean
Difference between the value of the sample mean and the value of the population mean
Error caused by selecting a bad sample Error caused by selecting a bad sample
Standard deviation multiplied by the sample size

The round off value of 78.25m to the nearest 10m is:

1 Mark(s)

Your Answer:

75m 75m
80m 80m
79m 79m
78m 78m

Find the HCF of \$135$ and \$180$

1 Mark(s)

Your Answer:

15 15
30 30
90 90
45 45

Which of the following represents the altitude of the triangle ABC?

1 Mark(s)

Your Answer:

A) AM A) AM
B) AL B) AL
C) AP C) AP
D) AN D) AN

What is $\frac{17}{21} - \frac{12}{21}$?

1 Mark(s)

Your Answer:

$\frac{5}{21}$ $\frac{5}{21}$
$\frac{4}{21}$ $\frac{4}{21}$
$\frac{6}{21}$ $\frac{6}{21}$
$\frac{1}{4}$ $\frac{1}{4}$

Arithmetic mean is _________ by change of origin and scale of measurement?

1 Mark(s)

Your Answer:

Vary Vary
Negative Negative
Affected Affected
Not affected Not affected

The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?

1 Mark(s)

Your Answer:

Rs. 1,10,000 Rs. 1,10,000
Rs. 1,20,000 Rs. 1,20,000
Rs. 1,24,000 Rs. 1,24,000
Rs. 1,21,000 Rs. 1,21,000
None of these None of these

The points (-5, 2) and (2, -5) lie in the:

1 Mark(s)

Your Answer:

A) Same quadrant A) Same quadrant
B) II and III quadrants respectively B) II and III quadrants respectively
C) II and IV quadrants respectively C) II and IV quadrants respectively
D) IV and III quadrants respectively D) IV and III quadrants respectively

Divide Rs.2000 into two shares in the ratio 3:2.

1 Mark(s)

Your Answer:

Rs.1200,Rs.800 Rs.1200,Rs.800
Rs.800,Rs.1200 Rs.800,Rs.1200
Rs.1500,Rs.500 Rs.1500,Rs.500
Rs.1100, Rs.900 Rs.1100, Rs.900

What is $32 \times 8$?

1 Mark(s)

Your Answer:

248 248
256 256
264 264
272 272

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

The object of Index number also determines its _______________?

1 Mark(s)

Your Answer:

Index Number Index Number
Special purpose Special purpose
Reliable Reliable
Scope Scope

If At = −A then A is said to be:

1 Mark(s)

Your Answer:

square matrix square matrix
skew symmetric skew symmetric
transpose transpose
symmetric symmetric

If $\log_2 (\log_3 (\log_4 x)) = 1$, find $x$

1 Mark(s)

Your Answer:

4096 4096
16384 16384
65536 65536
262144 262144

At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?

1 Mark(s)

Your Answer:

Rs.6620 Rs.6620
Rs.6500 Rs.6500
Rs.6800 Rs.6800
Rs.6400 Rs.6400

10 $\frac{1}{10}$ $\frac{11}{100}$ can be read as

1 Mark(s)

Your Answer:

A) Ten, one ten and eleven hundredths A) Ten, one ten and eleven hundredths
B) Ten, one-tenth and eleven hundreds B) Ten, one-tenth and eleven hundreds
C) Tenth and eleven hundredths C) Tenth and eleven hundredths
D) Ten, one one-tenth and eleven one-hundredths

The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is___________?

1 Mark(s)

Your Answer:

276 276
299 299
322 322
345 345

Two number is first increased by 10 % and then reduced by 10 % the number:__________?

1 Mark(s)

Your Answer:

2:5 2:5
4:5 4:5
6:7 6:7
3:5 3:5

What is the HCF of \$12$ and \$18$?

1 Mark(s)

Your Answer:

3 3
4 4
6 6
9 9

On decreasing the price of T.V. sets by 30 % its sale is increased by 20 %. What is the effect on the revenue received by the shopkeeper?

1 Mark(s)

Your Answer:

10 % increase 10 % increase
10 % decrease 10 % decrease
16 % increase 16 % increase
16 % decrease 16 % decrease

1 ⁄ α + 1 ⁄ β is equal to:

1 Mark(s)

Your Answer:

1 ⁄ α 1 ⁄ α
1 ⁄ β 1 ⁄ β
α + β ⁄ αβ α + β ⁄ αβ
α - β ⁄ αβ α - β ⁄ αβ

The following table gives the distribution of IQ (intelligence quotient) of 60 pupils of class IX in a school: Find the probability that a student of class IX selected at random has IQ in the interval

1 Mark(s)

Your Answer:

A) $\frac{1}{12}$ A) $\frac{1}{12}$
B) $\frac{1}{8}$ B) $\frac{1}{8}$
C) $\frac{1}{10}$ C) $\frac{1}{10}$
D) $\frac{1}{5}$ (\frac{1}{12}\) D) $\frac{1}{5}$ (\frac{1}{12}\)

Assertion (A) In the pattern 2, 4, 6, 8,10, each number is 2 more than the previous number. Reason (R) This pattern represents an arithmetic sequence where the common difference is constant.

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. Fill in the blanks: 1. Smallest 4-digit number formed by the digits 3, 0, 4,1 is ____ Answer: 1034 2. Greatest 4-digit number formed by the digits 0, 8,1, 9 is ____ Answer: 9810 3. I am the greatest number made from digit 7,1, 8, 3. Answer: 8731 4. I am the smallest number made from digit 3, 9, 0, 1. ____ Answer: 1039 5. Smallest 4-digit even number is ____ Answer: 1000 6. Largest 4-digit even number is ____ Answer: 9998 7. In the number 4321, the digit 3 is ____________ in the place. Answer: hundreds 8. The magic number of Kaprekar is ____________. Answer: 6174 9. Total number of two-digit numbers are ____________. Answer: 90 10. The digits of number 950 adds upto ____________. Answer: 14 11. The number 323 is a ____________ number. Answer: Palindrome 12. Total number of five digit numbers are ____________. Answer: 90000 13. The difference between 8000 and 2345 is ____________ Answer: 5655 14. When you add 1000 to 4567, the result is ____________. Answer: 5567 15. If you reverse the digits of the number 2332, then you still get ____________. Answer: 2332 State True/False: 1. The largest if-digit telephone number that can be formed by using digits 5, 3, .4, 7, 0, 8 only once is 875403. Answer: False. The largest six-digit telephone number that can be formed by using digits 5,3,4,7,0,8 only once is 875430. 2. The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once is 9760. Answer: True. 3. The numbers 4578, 4587, 5478, 5487 are in descending order. Answer: False. In the question, the arrangement of the numbers in ascending order. Descending order of the given number = 5487, 5478, 4587,4578. 4. 8439 is an odd number. Answer: True 5. 2787 is an even number. Answer: False 6. The Kaprekar constant is 7164. Answer: False 7. The number 1221 is a palindrome number. Answer: True 8. The difference of 98500 and 26580 gives a four digit number. Answer: False 9. The sum of 56560 and 3228 gives a five digit number. Answer: True 10. If you reverse the digits of the number 6776, you get 6776. Answer: True 11. Total number of four digit numbers are 900. Answer: False 12. The sum of digits of 672 and 564 is different. Answer: False Match the Following

A company has 7348 bars of soap. If the company sells 20% of its bars of soap .how many bars of soap did it sell?

1 Mark(s)

Your Answer:

734.8 734.8
1469.6 1469.6
146950 146950
29390 29390

The domain of the function defind by f(x) = $\sin ^{-1} \sqrt{x-1}$ is

1 Mark(s)

Your Answer:

A) [1, 2] A) [1, 2]
B) [-1, 1] B) [-1, 1]
C) [0, 1] C) [0, 1]
D) none of these D) none of these

Evaluating Your Answers

Statistics Mock Test 18 : Question 1 of 80