Venn Diagram

Q. In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?

Q.

Question 66

In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

Q.

from a ribbon which is 22m long, two piece of length 26/5m and 32/10m are cut off. what is the length of the remaining ribbon?

Q. How many kg of pure salt must be added to 30kg of 2% solution of salt and water to increase it to a10% solution ?

Q. Suppose 2kg of sugar contains 9 * 10 to the power 6 crystals. How many sugar crystals are there in, (i) 5 kg of sugar? (ii) 1.2 kg of sugar?

Q.

What is full form of OoO?

Q.

Verify that $-(-x)=x$ for
(i) $x=\frac{11}{15}$ (ii) $x=-\frac{13}{17}$

Q.

How many two-digit numbers are divisible by $5$ ?

Q.

Two sets A and B are such that A $\cap B=\varphi$. Draw a venn-diagram to show the relationship between A and B. Shade the region representing :

(i) A $\cup$ B

(ii) (A $\cup$ B)'

(iii) B - A

(iv) B $\cap$ A'

Q.

State the sets represented by the shaded portion of following venn-diagrams :

Q.

5929 students are sitting in an auditorium in such a manner, that there was as many students in a row as there are rows in the auditorium.How many rows are there in an auditorium??

Q.

At a cricket test match 2/7of the spectators were in a covered place and 15000 were in the open. Find the total number of spectators .

Q. There are 15, 000 students in college X. Of those students, 1, 700 are taking both ethics and metaphysics this semester. There are 2, 200 total students taking ethics. 9, 500 students are taking neither of these classes. What is the maximum number of students that are taking metaphysics this term?

1. 3800
2. 4600
3. 5500
4. 5000

Q.

In hostel it cost ₹1800 to keep 50 children for 8 week. For what length of time did the cost of keeping 90 children amount to₹21060

Q.

The shaded portion of which of the following Venn diagrams represents the set A - B?

1. 

2. 

3. 

4. 

Q. A cord of length $71\frac{1}{2}$ m has been cut into 26 pieces of equal length. What is the length of each piece?

Q.

Two groups consisting of 108 and 156 students participate in sports meet. In how many rooms cfan all these students be accommodated at the minimum, it all the rooms should have equal number of students and no two students in a room should be from different groups ?

Q. If the weight of 9 sheets of thick paper is 30 grams, how many sheets of the same paper would weigh 1 1/4 kilograms?

Q.

In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes at least one fruit, the minimum percentage of workers who like both the fruits is ___ %

1. 44

2. 54

3. 64

4. 34

Q.

If the weight of five sheets of paper is 20g how many sheets of the same paper would weigh 2.5kg?

Q.

How many kilograms of sweets worth ₹110 per kg must be mixed with 30 kg of sweets of₹ 80 per kg to produce a mixture which cost ₹100 per kg? Write with each and every step.

Q. In a shop, $380$ people buy socks, $150$ people buy shoes, and $200$ people buy belts. If there are a total of $580$ people who bought either socks or shoes or belts and only $30$ people bought all the three things? So, how many people bought exactly two things?

1. $90$
2. $135$
3. $45$
4. $150$

Q.

Use the given Venn-diagram to find :

(i) B - A

(ii) A

(iii) B'

(iv) $A\cap B$

(v) $A\cup B$

Q.

A tin holds 33/2 litres of oil then how many such tins will be required to hold 627/2 litres of oil?

Q. 54Z leaves remainder 2 when divided by 5 , and leaves remainder 1 when divided by 3, what is the value of Z?
[3 marks]

Q.

The set represented by the shaded portion of the below Venn - diagram is ___.

1. $B^{\prime }$

2. $B^{\prime }\cup (A\cup C{)}^{\prime }$

3. $B^{\prime }\cap (A\cup C{)}^{\prime }$

4. $A\cup B\cup C$

Q.

Find the multiple of $13$ which is greater than $50$ but less than $60$.

Q.

A gardener has to plant 500 saplings in such a way that number of rows and number of saplings in each row are the same. How many saplings would be left out?

1. 18

2. 16

3. 25

4. 24

Q.

The last digit of the number $7^{886}$is

1. $9$

2. $7$

3. $3$

4. $1$

Q.

A bus conductor collected Rs 2916 from passengers of the bus. Each passenger paid an amount equal to number of passengers in the bus. What is the fare paid by each passenger?

1. 44

2. 46

3. 56

4. 54