Sasi Math (Revised for 1024)

Scroll:Real number system >> Rational number >> saq (4476)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

In a group of 56 students $\frac{3}{9}$ of the total number of students like to study Science , $\frac{5}{10}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

In a group of 51 students $\frac{5}{10}$ of the total number of students like to study Science , $\frac{1}{8}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

In a group of 60 students $\frac{3}{6}$ of the total number of students like to study Science , $\frac{1}{7}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

In a group of 49 students $\frac{5}{6}$ of the total number of students like to study Science , $\frac{5}{8}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

In a group of 55 students $\frac{4}{8}$ of the total number of students like to study Science , $\frac{3}{10}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

In a group of 56 students $\frac{4}{10}$ of the total number of students like to study Science , $\frac{3}{10}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

In a group of 45 students $\frac{4}{10}$ of the total number of students like to study Science , $\frac{1}{6}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

In a group of 52 students $\frac{3}{6}$ of the total number of students like to study Science , $\frac{3}{8}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

In a group of 47 students $\frac{3}{8}$ of the total number of students like to study Science , $\frac{3}{6}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

10)

In a group of 44 students $\frac{2}{7}$ of the total number of students like to study Science , $\frac{3}{6}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science

Social Science

Answer:_______________

In a group of 56 students $\frac{3}{9}$ of the total number of students like to study Science , $\frac{5}{10}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 19

Social Science Answer: 28

SOLUTION 1 :

Given :

Total number of students in the class = 56

(i) Out of 56 Students, $\frac{3}{9}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{3}{9}$ of 56

= $\frac{3}{9}$ x 56

= $\frac{(168)}{9}$

= 19

(ii) Out of 56 students , $\frac{5}{10}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{5}{10}$ of 56

= 5 x $\frac{56}{10}$

= $\frac{(280)}{10}$

=28

In a group of 51 students $\frac{5}{10}$ of the total number of students like to study Science , $\frac{1}{8}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 26

Social Science Answer: 6

SOLUTION 1 :

Given :

Total number of students in the class = 51

(i) Out of 51 Students, $\frac{5}{10}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{5}{10}$ of 51

= $\frac{5}{10}$ x 51

= $\frac{(255)}{10}$

= 26

(ii) Out of 51 students , $\frac{1}{8}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{1}{8}$ of 51

= 1 x 5 $\frac{1}{8}$

= $\frac{(51)}{8}$

In a group of 60 students $\frac{3}{6}$ of the total number of students like to study Science , $\frac{1}{7}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 30

Social Science Answer: 9

SOLUTION 1 :

Given :

Total number of students in the class = 60

(i) Out of 60 Students, $\frac{3}{6}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{3}{6}$ of 60

= $\frac{3}{6}$ x 60

= $\frac{(180)}{6}$

= 30

(ii) Out of 60 students , $\frac{1}{7}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{1}{7}$ of 60

= 1 x $\frac{60}{7}$

= $\frac{(60)}{7}$

In a group of 49 students $\frac{5}{6}$ of the total number of students like to study Science , $\frac{5}{8}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 41

Social Science Answer: 31

SOLUTION 1 :

Given :

Total number of students in the class = 49

(i) Out of 49 Students, $\frac{5}{6}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{5}{6}$ of 49

= $\frac{5}{6}$ x 49

= $\frac{(245)}{6}$

= 41

(ii) Out of 49 students , $\frac{5}{8}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{5}{8}$ of 49

= 5 x $\frac{49}{8}$

= $\frac{(245)}{8}$

=31

In a group of 55 students $\frac{4}{8}$ of the total number of students like to study Science , $\frac{3}{10}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 28

Social Science Answer: 17

SOLUTION 1 :

Given :

Total number of students in the class = 55

(i) Out of 55 Students, $\frac{4}{8}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{4}{8}$ of 55

= $\frac{4}{8}$ x 55

= $\frac{(220)}{8}$

= 28

(ii) Out of 55 students , $\frac{3}{10}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{3}{10}$ of 55

= 3 x $\frac{55}{10}$

= $\frac{(165)}{10}$

=17

In a group of 56 students $\frac{4}{10}$ of the total number of students like to study Science , $\frac{3}{10}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 22

Social Science Answer: 17

SOLUTION 1 :

Given :

Total number of students in the class = 56

(i) Out of 56 Students, $\frac{4}{10}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{4}{10}$ of 56

= $\frac{4}{10}$ x 56

= $\frac{(224)}{10}$

= 22

(ii) Out of 56 students , $\frac{3}{10}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{3}{10}$ of 56

= 3 x $\frac{56}{10}$

= $\frac{(168)}{10}$

=17

In a group of 45 students $\frac{4}{10}$ of the total number of students like to study Science , $\frac{1}{6}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 18

Social Science Answer: 8

SOLUTION 1 :

Given :

Total number of students in the class = 45

(i) Out of 45 Students, $\frac{4}{10}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{4}{10}$ of 45

= $\frac{4}{10}$ x 45

= $\frac{(180)}{10}$

= 18

(ii) Out of 45 students , $\frac{1}{6}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{1}{6}$ of 45

= 1 x $\frac{45}{6}$

= $\frac{(45)}{6}$

In a group of 52 students $\frac{3}{6}$ of the total number of students like to study Science , $\frac{3}{8}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 26

Social Science Answer: 20

SOLUTION 1 :

Given :

Total number of students in the class = 52

(i) Out of 52 Students, $\frac{3}{6}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{3}{6}$ of 52

= $\frac{3}{6}$ x 52

= $\frac{(156)}{6}$

= 26

(ii) Out of 52 students , $\frac{3}{8}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{3}{8}$ of 52

= 3 x $\frac{52}{8}$

= $\frac{(156)}{8}$

=20

In a group of 47 students $\frac{3}{8}$ of the total number of students like to study Science , $\frac{3}{6}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 18

Social Science Answer: 24

SOLUTION 1 :

Given :

Total number of students in the class = 47

(i) Out of 47 Students, $\frac{3}{8}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{3}{8}$ of 47

= $\frac{3}{8}$ x 47

= $\frac{(141)}{8}$

= 18

(ii) Out of 47 students , $\frac{3}{6}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{3}{6}$ of 47

= 3 x $\frac{47}{6}$

= $\frac{(141)}{6}$

=24

10)

In a group of 44 students $\frac{2}{7}$ of the total number of students like to study Science , $\frac{3}{6}$ of the total number like to study socialscience.

(i) How many students like to study Science

(ii) How many Students like to study Social Science

Science Answer: 13

Social Science Answer: 22

SOLUTION 1 :

Given :

Total number of students in the class = 44

(i) Out of 44 Students, $\frac{2}{7}$ of the students like to study Science .

Thus, the number of students who like to study Science = $\frac{2}{7}$ of 44

= $\frac{2}{7}$ x 44

= $\frac{(88)}{7}$

= 13

(ii) Out of 44 students , $\frac{3}{6}$ of the students like to study Social Science.

Thus, the number of students who like to study Social Science = $\frac{3}{6}$ of 44

= 3 x $\frac{44}{6}$

= $\frac{(132)}{6}$

=22