Download CBSE Sample Paper 2024-25 for class 12th to 8th

Mix Test - 4

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Mix Test - 4

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Question 1
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Volume of a cuboid = ________.

A
l + b + h

B
2h(l + b)

C
l × b + h

D
(l × b × h) cubic units

Solution

Volume of a cuboid = (l × b × h) cubic units
where l = length, b = breadth, h = height
Question 2
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X and Y together can do a certain job in 10 days while X alone can do the same job in 15 days. Y alone will do the same job in :

A
15 days

B
30 days

C
20 days

D
25 days

Solution

Work done by X + Y in one day = 1/10
Work done b X alone in one day = 1/15
Work done by Y alone in one day = 1/10−1/15 = 1/30
∴ Y alone will finish the work in 30 day
Question 3
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There are 2 Red, 3 Blue and 5 Black balls in a bag. A ball is drawn from the bag without looking into the bag. What is the probability of getting a non-red ball?

A
3/5

B
4/5

C
None of these

D
2/5

Solution

Total number of balls = 10
Probability (non red ball) = 1 - Probability ( red ball)
= 1 - (2/10) = 8/10 = 4/5
Question 4
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Area of a square plot is 6050 m². The length of the diagonal is :

A
110 m

B
100 m

C
120 m

D
90 m

Solution
Question 5
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If 9 kg of rice costs Rs 166.50, how much rice can be purchased for Rs 259?

A
14 kg

B
10 kg

C
12 kg

D
16 kg

Solution

This is a question of direct proportion as with the increase in the quantity of rice the price will increase

In direct proportion, the value of constant is given X/Y
Question 6
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If R is the radius of the base of the hat, then the total outer surface area of the hat is

A
2πrh+πR²

B
πr(2h+R)

C
None of these

D
2πr(h+R)

Solution

We have, a cylindrical hat with base radius R and r is the radius of the top surface.
Now, the total surface area of hat = Curved surface area + Top surface area + Base surface area

= 2πrh+πr²+π(R²−r²)
= 2πrh+πr²+πR²−πr²
= 2πrh+πR²
Question 7
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If the cost of 5 pens is Rs.20, what will be the cost of 9 such pens?

A
Rs 24

B
Rs 36

C
Rs 39

D
Rs 27

Solution

This is the case of direct proportion as with the increase in the number of pens the cost will also increase

In direct proportion, the value of constant is given by X/Y

5/20 = 9/a (where a is the cost of pens)

20 × 9 = 5a

180/5 = a

Rs 36 = a
Question 8
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Which of the following is in direct proportion?

A
Change in weight and height among individuals.

B
Number of pipes to fill a tank and the time required to fill the same tank.

C
One side of a cuboid and its volume.

D
Speed of a vehicle and the distance travelled in a fixed time interval.

Solution

Because, in a fixed time interval, as the speed of a vehicle increases, the distance travelled by it also increases in the same ratio.
Question 9
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Numbers 1 to 20 are written on twenty separate slips (one number on one slip) kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of getting a number greater than 8?

A
1/5

B
3/5

C
1/10

D
5/3

Solution

There are 20 numbers slip of the numbers fro 1 to 20. Total numbers those are greater than 8 is 12. So the probability of getting any one number greater than 8 is 12/20 = 3/5
Question 10
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The length of a rectangular plot is 88 m. There are 3872 tiles in its floor. If area of one tile is 0.25 m² then breadth of the plot is :

A
14 m

B
12 m

C
11 m

D
13 m

Solution