Venn Diagram

Q.

Draw Venn diagram of $A$union ($B$ intersection $C$)

Q.

Question 8(ii)
Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 Litres of water.Vidya consumed of the water. Pratap consumed the remaining water.
(ii) What fraction of the total quantity of water did Pratap drink?

Q. Question 2(i)
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. Find out how many marbles they had to start with.

Q.

In a class of $30$ pupils, $12$ take needlework, $16$ take physics and $18$ take history. If all the $30$ students take at least one subject and no one takes all three then the number of pupils taking $2$ subjects is

1. $16$

2. $6$

3. $8$

4. $20$

Q.

Shalini has 1.5L of soda in a bottle. How many glasses can be filled, each of which has a capacity of 50 ml? How many glasses of capacity 60ml each be filled? [3 MARKS]

Q.

$21$ people are invited for a party. In how many different ways can they and the host be seated at a circular table, if the two particular persons are to be seated on either side of the host?

1. $20!$

2. $2·18!$

3. $18!$

4. none of these

Q.

A jeweller makes 3-strand pearl necklace. Each strand has 75 pearls. How many packets of 100 pearls will be needed for 12500 such necklaces

Q.

Question 133

In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and -2 for every incorrect answer and 0 for not supplying any answer. If Yash scored 94 marks in a test, what are the possibilities of his marking correct or wrong answer?

Q.

Question 96

A volleyball court is in a rectangular shape and its dimensions are directly proportional to the dimensions of the swimming pool given below. Find the width of the pool.

Q.

Write the comparative and superlative degree of - poor

Q.

Which of the following Venn diagrams represent A - B?

1. 

2. 

3. 

4. 

Q. In a hostel there are 125 students, out of which 80 drink tea, 60 drink coffee and 20 drink tea and coffee both. Find the number of students who do not drink tea or coffee.

Q.

A paper is marked out of $180$. Minimum requirement for a pass is $45\%$. What is the highest mark that can be obtained by a student who fails?

Q.

In a row of trees, one tree is fifth from either end of the row. How many trees are there in the row?

Q.

What is $29$ degrees Celsius in Fahrenheit?

Q.

Question 8(i)
Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 Litres of water.Vidya consumed $\frac{2}{5}$ of the water. Pratap consumed the remaining water.
(i) How much water did vidya drink?

Q.

In a class of $30$ pupils, $12$ take Chemistry, $16$ take Physics and $18$ take History. If all the $30$ students take at least one subject and no one takes all three, then the number of pupils taking $2$ subjects is

1. $16$

2. $6$

3. $8$

4. $20$

Q.

When the length and width of a rectangle are increased by 5 cm each, its area increases by 100 cm². However, if the length of the rectangle is increased by 1 cm and its breadth is decreased by 1 cm, then the area of the rectangle decreases by 6 cm².

What is the original area of the rectangle?

1. 50 cm²

2. 100 cm²

3. 150 cm²

4. 200 cm²

Q. Statements: A - Some Rats are not Cats. B - Some Cats are Dogs. Conclusions: I - No Rat is Dog. II - Some Rats are Dogs. Options: a)Only conclusion I follows. b)Only conclusion II follows. c)Either conclusion I follows or conclusion II follows. d)Neither conclusion I nor conclusion II follows.

Q.

​​​In a class, 8 students out of 28 have a dog as their pet animal at home , 6 students have a cat as their pet animal .10 students have a dog and cat both, then how many students do not have a dog or cat as their pet animal at home?

Q. From the given Venn diagram, write the elements of
(i) A
(ii) B
(iii) A–B
(iv) B–A
(v) A′
(vi) B′
(vii) U

Q. A rectangle with perimeter 44 cm is partioned into5 congruent rectangles as indicated in the diagram The perimeter of each of the congruent rectangle ?

Q.

In a town of $10,000$ families it was found that $40\%$ family buy newspaper $A$, $20\%$ families buy newspaper $B$ and $10\%$ families buy newspaper $C$, $5\%$ families buy $A$ and $B$, $3\%$ buy and $C$ and $4\%$ buy $A$ and $C$.

If $2\%$ families buy all the three newspapers, then the number of families which buy $A$ only is

1. $3100$

2. $3300$

3. $2900$

4. $1400$

Q.

How many degrees are there in an angle which equals two-third of its complement?

Q.

In a battle 70% of the combatants lost eye, 80% an ear, 75% an arm, 85% a leg, x% lost all of four limbs. The minimum value of x is

1. 10

2. 12

3. 15

4. 11

Q. A ladder is standing on a horizontal ground and rests against a vertical wall. The ladder is 5.5m long and its foot is 3m from the wall. Calculate how far up tha wall the ladder will reach (Correct to 2 decimal places)

1. 4.55m
2. 4.65m
3. 4.5
4. 4.61m

Q.

Question 46

Fill in the blanks to make the statements true.

10g of caustic soda dissolved in 100ml of water makes a solution of caustic soda. Amount of caustic soda needed for 1 litre of water to make the same type of solution is ___.

Q. Town-A is 65 km due North of Town-B. Town-C is due 44 km due East of Town-B. Calculate the distance from Town-A to Town-C. (Correct to 2 decimal places)

1. 78.49 km
2. 79.41 km
3. 81.49 km
4. 89.41 km

Q. In a school there are $20$ teachers who teach mathematics or physics. Of these $12$ teach mathematics and $4$ teach both mathematics and physics. The number of teachers who teach only physics are

1. $8$
2. $16$
3. $4$
4. $12$

Q.

If length, breadth and height of cuboid are increased by 40 %, what is the percentage increase in the total surface area of the cuboid?

1. 76%

2. 48%

3. 96%

4. 56%