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

Mix Test - 5

Result

Mix Test - 5

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0.25

Add: 4y(3y² + 5y - 7) and 2 (y³ - 4y² + 5).

A
14y³ + 12y² - 10

B
14y³ + 12y² - 28y + 10

C
14y³ + 12y² - 28y

D
28y - 10

Solution

4y(3y² + 5y - 7) + 2 (y³ - 4y² + 5)
open brackets we get,
12y³ + 20y² - 28y + 10
12y³ + 2y³ + 20y² - 8y² - 28y + 10
14y³ + 12y² - 28y + 10
Question 2
1 / -0.25

A train is moving at a uniform speed of 75 km/hour. How far will it travel in 20 minutes?

A
30 km

B
20 km

C
18 km

D
25 km

Solution

Speed of train = 75km/hr
Time taken= 20 mins = 20/60 hr
Distance travelled = speed × time
= 75 × 20/60
= 1500/60
= 25 km
Question 3
1 / -0.25

The perimeter of a square is (4x + 12) cm. Its diagonal is :

A
√2(x+3) cm

B

C

D
√2(4x+12)cm

Solution

Perimeter of the square = (4x + 12) cm

∴ Side of the square =1/4 (4x+12) = (x+3)cm

Diagonal of the square = √2. Side = √2(x+3)cm
Question 4
1 / -0.25

Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v?

A
25 and 37.5

B
2 and 3

C
15 and 20

D
8 and 12

Solution

Since, u and v vary directly, i .e.u/v = k (constant)

So, option 15 and 20 is not a possible pair of corresponding values of u and v.
Question 5
1 / -0.25

In an army camp, there are 320 soldiers. They have sufficient food for 80 days. If after 20 days, 120 soldiers left the camp, for how many more days will the food last?

A
48

B
56

C
64

D
32

Solution

This is a case of inverse proportion as with the decrease in the number of soldiers the day's food lasts will increase
In inverse proportion, the value of constant is given by x × y

320 × 80 = (320 - 120) × a (where a is the number of days food will last)

25600/200 = a

128 days = a

The food will last for 128 - 80 = 48 more days
Question 6
1 / -0.25

The cost of 5 metres of cloth is Rs 350. Find the cost of 7 metres of cloth.

A
Rs 470

B
Rs 280

C
Rs 490

D
Rs 140

Solution

This is a case of direct proportion as with the increase in meters of cloth the cost will also increase
In direct proportion, the value of constant is given by X/Y
5/350 = 7/a (where a is the cost of cloth)
350 × 7 = 5 × a
2450/5 = a
Rs 490 = a
Question 7
1 / -0.25

If 8 : 12 :: 6 : a, the value of a is

A
10

B
9

C
12

D
8

Solution

8 : 12 :: 6 : a
8/12 = 6/a
8a = 6 × 12
a = 6 × 12/8
a = 72/8
a = 9
So the answer is 9
Question 8
1 / -0.25

When numbers/literals are added or subtracted, they are called _________.

A
None of these

B
expressions

C
terms

D
identities

Solution

Any kind of operation can be performed only on terms. The operation may be addition, multiplication, subtraction or division.
Question 9
1 / -0.25

A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?

A
8

B
6

C
2

D
4

Solution

This is a question of inverse proportion as with the increase in the number of animals in the cattle the days food will last will decrease
In inverse proportion, the value of constant is given by x × y
20 × 6 = (20 + 10) × a ( where a is the number of days food
120 × 30 × a
120/30 = a
4 days = a
Question 10
1 / -0.25

If a box of toffees is divided among 24 children, they will get 5 toffees each. How many toffees will each get if the number of children is reduced by 4?

A
10

B
8

C
6

D
12

Solution

This is a case of inverse proportion as with a decrease in the number of children the number of toffees each child gets will increase
In inverse proportion, the value of constant is given by x × y
24 × 5 = (24 - 4) × a ( where a is the number of toffees each child gets)
120 = 20a
120/20 = a
6 toffees = a