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MATHS 8

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Q.   1

One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's shadow was exactly to the left of Udai, which direction was Udai facing?

Q.   2

Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of Y, is P?

Q.   3

Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M.?

Q.   4

Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the meantime, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?

Q.   5

Starting from the point X, Jayant walked 15 m towards west. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right and walked 12 m. How far and in which directions is now Jayant from X?

Q.   6

K is 40 m South-West of L. If M is 40 m South-East of L, then M is in which direction of K?

Q.   7

A man walks 2 km towards North. Then he turns to East and walks 10 km. After this he turns to North and walks 3 km. Again he turns towards East and walks 2 km. How far is he from the starting point?

Q.   8

One morning after sunrise, Vimal started to walk. During this walking he met Stephen who was coming from opposite direction. Vimal watch that the shadow of Stephen to the right of him (Vimal). To which direction Vimal was facing?

Q.   9

Golu started from his house towards North. After covering a distance of 8 km. he turned towards left and covered a distance of 6 km. What is the shortest distance now from his house?

Q.   10

If a boy starting from Nilesh, met to Ankur and then to Kumar and after this he to Dev and then to Pintu and whole the time he walked in a straight line, then how much total distance did he cover?

Q.   11

Each of the following questions is based on the following information:

Six flats on a floor in two rows facing North and South are allotted to P, Q, R, S, T and U.

Q gets a North facing flat and is not next to S. S and U get diagonally opposite flats.

R next to U, gets a south facing flat and T gets North facing flat.

 

If the flats of P and T are interchanged, then who’s flat will be next to that of U?

Q.   12

Starting from the point X, Jayant walked 15 m towards west. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right a walked 12 m. How far and in which directions is now Jayant from X?

Q.   13

Lakshman went 15 kms to the West of his house, then turned left and walked 20 kms. He then turned East and walked 25 kms and finally turning left covered 20 kms. How far was he from his house?

Q.   14

Rakesh is standing at a point. He walks 20m towards the East and further 10m towards the South, then he walks 35m towards the West and further 5 m towards the North, then he walks 15 m towards the East. What is the straight distance (in m) between his starting point and the point where he reached last?

Q.   15

Anoop starts walking towards South. After walking 15m he turns towards North. After walking 20m, he turns towards East and walks 10m. He, then turns towards South and walks 5m. How far is he from his original position in which direction?

Q.   16

From a point, Rajneesh started walking East and walked 35m. He, then turned on his right and walked 35m. He, then turned on his right and walked 20m and he again turned to right and walked 35m. Finally, he turned his left and walked 20m and reached his destination. Now, how far is he from the starting point?

Q.   17

A man walks 40m towards north and he turns his left and walked 40m. He then turns his left and walked 15m. He finally turns his right and walked 20m. What is the distance he is from starting point and in whichdirection?

Q.   18

A person starts from point A, walks 5m towards south and reaches point B. He then turns left and walks 8m and reaches point C. He then takes a right turn and walks 6m. He takes a final right turn and walks 8m to reach point D. What is the distance between point C andD?

Q.   19

Nakul starts walking from his office towards his house. He starts from the front gate of his office and walks 5 km, then turns left and walks 2 km, then turns left again and walks 4 km, then he turns to his right and walks 3 km, then turns left and walks 1 km and then turns to his left again and walks 4 km, then turns to his right and walks 10 km and finally turns right and walks 3 km and thus reaches the front gate of his house. If Nakul’s house is facing south, in which direction did he startwalking?

Q.   20

Relationship between Mean, Median, and Mode

Q.   21

Since the population size is always larger than the sample size, then the sample statistic

Q.   22

The mean salary for a group of 40 female workers is Rs. 5200 per month and that for a group of 60 male workers is Rs. 6800 per month. What is the combined mean salary?

Q.   23

The sum of the deviation of a given set of individual observations from the arithmetic mean is always infinite. The statement is True or not?

Q.   24

If the mean of 9, 8, 10, x, 12 is 15, find the value of x.

Q.   25

If the mean of five observations x, x+4, x+6, x+8, and x+12 is 16, find the value of x.

Q.   26

Find the mode of the following set of marks.

 

Marks

1

2

3

4

5

Frequency

6

7

7

5

3

Q.   27

The mean of the marks in statistics of 100 students in class x was 72. The mean of marks for boys was 75, while their number was 70. What is the mean of marks of girls in the class?

Q.   28

Which of the following is true about the mode of a given data?

Q.   29

What is the arithmetic mean of a+2, a and a-2?

Q.   30

Which of the following is not a measure of central tendency?

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