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MATHS 7

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Marks: 25

Q.   1

What is the chance of picking a spade or an ace not of spade from a pack of 52 cards?

Q.   2

A committee of 7 members is to be formed form a group comprising 8 gentlemen and 5 ladies. What is the probability that the committee would comprise: 2 ladies.

Q.   3

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

Q.   4

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is:

Q.   5

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is: 

Q.   6

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (jack, Queen, and King only)?

Q.   7

A bag contains 6 black and 8 white balls; one ball is drawn at random. What is the probability that the ball drawn is white? 

Q.   8

A problem is given to three students whose chance of solving is are 𝟏÷𝟐, 𝟏÷𝟑 and 𝟏÷𝟒 respectively what is the probability that the problem will be solved?

Q.   9

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

Q.   10

Two dice are tossed. The probability that the total score is a prime number is:

Q.   11

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is:

Q.   12

Construct the following indices by taking 1997 as the base:

(i)  Simple Aggregative price Index

 

Item

A

B

C

D

E

Price Rs. (1997)

6

2

4

10

8

Price Rs. (1998)

10

2

6

12

12

Price Rs. (1999)

15

3

8

14

16

Q.   13

A composite price index where the prices of the item composite are weighted by their relative importance is known as the

Q.   14

The test which is lot obeyed by any of the weighted index numbers unless the weights are constant:

Q.   15

Index number having upward basis is:

Q.   16

Marshall Edgeworth price index was proposed by:

Q.   17

From the following data construct price index of 1995 taking 1990 as base by using Average price Relative Method:

CommodityABCD
Price in 1990 Rs.60458025
Price in 1995 Rs.75507040
Q.   18

Calculating weighted aggregate price index from the following data using Laspeyre`s method

Base PeriodCurrent period
PriceQuantity PriceQuantity
A21045
B512610
C420515
D215310
Q.   19

Calculate weighted aggregate price index member from the following data by using paasches method

 

Commodity

Base year

 

Current

 

 

Price

Quantity

Price

Quantity

A

10

30

12

50

B

8

15

10

25

C

6

20

6

30

D

4

10

6

20

Q.   20

Two dice are thrown together. What is the probability that the sum of the number on the two faces is divided by 4 or 6?

Q.   21

One card is drawn at random from pack of 52 cards. What is the probability that the card drawn is face card (Jack, Queen and king only)?

Q.   22

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

Q.   23

A bag contains 6 black and 8 white balls; one ball is drawn at random. What is the probability that the ball drawn is white?

Q.   24

Calculate the cost of living index number using family budget method

 

CommoditiesWheatRicePulsesGheeSugarOilFuelCloths
Unit consumed in20050562040506010

Price Rs. in

Bose

1.03.04.020.02.510.02.015.0
Price Rs. InC.Y1.23.55.030.05.015.52.518.0

 

 

Q.   25

If the salary of person in the base year is Rs. 4,000 per annum and the current year salary is Rs. 6,000 by how much should hid salary rise to maintain the same standard of living if The CPI of the current year is 400?

Q.   26

Given the following data:

Year1995-1996-1997-1998-1999-2000-2001-2002-
WPI (1993121,6127.2132.8140.7145.7155.7161.3161

 

Calculate the inflation of year 1998 – 99

Q.   27

When the prices of rice are to be compared, we compute:

Q.   28

Which formula is used in chain indices?

Q.   29

An index number that can serve purpose is called

Q.   30

5 boys and 5 girls are sitting in a row randomly. The probability that boys and girls sit alternatively is:

Q.   31

Fifteen persons among whom are A and B, sit down at random at a round table. The probability that there are 4 persons between A and B, is

Q.   32

From eighty cards numbered 1 to 80, two cards are selected randomly. The probability that both the cards have the numbers divisible by 4 is given by

 

Q.   33

Ten students are seated at random is a row. The probability that two particular students are not seated side by side is

Q.   34

A fair coin is tossed 100 times. The probability of getting tails and odd number of times is

Q.   35

A bag contains 4 white, 5 red and 6 green balls. Three balls are picked up randomly. The probability that a white, a red and a green ball is drawn is

Q.   36

The two lines of regression become identical when

Q.   37

There two regression lines passing through

Q.   38

If two dice are rolled and one of the dice shows 1 at a point then how many such outcome can be done where it is known that its probability is 𝒙÷𝟑𝟔, where x = _____. 

Q.   39

The coefficient of correlation between x and y is 0.6 If x and y value are multiplied by 1 then the coefficient will be

Q.   40

The coefficient of correlation between the temperature of environment and power consumption is always:

Q.   41

Five Persons A, B, C, D and E are in queue of a shop. The probability that A and E are always together, is

 

Q.   42

Two regression lines are parallel to each other if their slope is 

Q.   43

Rank correlation coefficient lies between

Q.   44

The two lines of regression intersect at the point 

Q.   45

  Simple random sampling is

Q.   46

1.          According to Neyman’s allocation, in stratified sampling

Q.   47

1.          Which sampling provides separate estimates for population means for different segments and also an over all estimate?

Q.   48

The speeds of a number of bikes follow a normal distribution model with a mean of 83km/ hr and a standard deviation of 9.4 km/hr. Find the probability that a bike picked at random is travelling at more than 95 km/hr?

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