Mix Test

Result

Mix Test - 9

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Weekly Quiz Competition

Question 1
1 / -0.25

In which of the following case, do the quantities vary directly with each other?

A

p 1² 2² 3² 4²

q 1³ 2³ 3³ 4³

B

u 2 4 6 9 12

v 18 9 6 4 3

C

r 2 5 10 25 50

s 25 10 5 2 0.5

D

x 0.5 2 8 32

y 2 8 32 128

Solution

x = 0.5,2, 8, 32 and y = 2, 8, 32,128 If we multiply x with 4, we get the directly required result as same as shown in corresponding y. In this case, as the value of x increases, the value of y also increases.
Question 2
1 / -0.25

A road map with a scale of 1 cm represents 36 km. When Ravi drives on a road for 144 km, what would be the distance covered by him on the map?

A
16 cm

B
8 cm

C
4 cm

D
12 cm

Solution

This is a case of direct proportion as with the increase in actual distance on road the distance covered on the map will also increase

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

1/36 = a/144 (where a is the distance covered on map)

36 × a = 144

a = 144/36

a = 4 cm
Question 3
1 / -0.25

A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. The number of cones so obtained, is :

A
108

B
54

C
126

D
432

Solution

Let n be the number of cones

∴ n × volume of cone = volume of the metallic sphere
Question 4
1 / -0.25

A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is

A
12 cm

B
6 cm

C
24 cm

D
8 cm

Solution

Given, a metal sheet 27 cm long, 8 cm broad and 1 cm thick.
Then, volume of the sheet (cubiodal) = l × b × h
= 27 × 8 × 1 = 216 cm³
Now, since this sheet is melted to form a cube of edge length a (say).
Then, volume of the cube = Volume of the metal sheet
⇒ a³ = 216 cm³
a = 6 cm
Hence, the side of the cube is 6 cm.
Question 5
1 / -0.25

Using (x + a)(x + b) = x² + (a + b)x + ab find 105 × 107

A
12000

B
13500

C
11235

D
11000

Solution

using identity (x + a)(x + b) = x² + (a + b)x + ab
105 × 107
Here x = 100, a = 5 and b = 7
(100 + 5)(100 + 7)
(100)² + (5 + 7) (100) + (5) (7)
10000 + 1200 + 35
11235
Question 6
1 / -0.25

1L = ________ cm³

A
1

B
100

C
1000

D
10

Solution

1L = 1000cm³
or we can write, 1 litre = 1000 cubic centimetre
Question 7
1 / -0.25

Reema types 540 words in half-hour. How many words would she type in 6 minutes?

A
124

B
120

C
122 days

D
108

Solution

Number of words typed in 1/2 hour (30 minutes) = 540

Number of words typed in 1 minute = 540/30 = 18words

So, number of words typed in 6 minutes = 18 ×6 = 108 words
Question 8
1 / -0.25

What must be subtracted from 2a + b to get 2a - b?

A
2a

B
a

C
b

D
2b

Solution

(2a + b) - (2a - b)
= 2a - 2a + b + b
= 2b
Question 9
1 / -0.25

The base area of a cylindrical wooden block is 254.34 cm² and its height is 13 cm. What is its surface area?

A
1251.29 cm²

B
1261.29 cm²

C
2261 cm²

D
1242.62 cm²

Solution

base area of a cylindrical wooden block = 254.34 cm² and height = 13 cm

S = 1242.62 cm²
The surface area of the cylindrical wooden block is 1242.62 cm²
Question 10
1 / -0.25

Numbers 1 to 10 are written on ten 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 1-digit number?

A
9/10

B
7/10

C
None of these

D
3/10

Solution

Total number of favourable outcomes = 9 (1,2,3,4,5,6,7,8,9)

Total number of outcomes = 10

Probability of getting a one-digit number

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Question Analysis

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Re-Attempt Weekly Quiz Competition

p	1²	2²	3²	4²
q	1³	2³	3³	4³

r	2	5	10	25	50
s	25	10	5	2	0.5

x	0.5	2	8	32
y	2	8	32	128

Mix Test - 9

Result

Mix Test - 9

Score

-

Rank

-

SHARING IS CARING

Question 1

p 12 22 32 42 q 13 23 33 43

u 2 4 6 9 12 v 18 9 6 4 3

r 2 5 10 25 50 s 25 10 5 2 0.5

x 0.5 2 8 32 y 2 8 32 128

Solution

Question 2

16 cm

8 cm

4 cm

12 cm

Solution

Question 3

108

54

126

432

Solution

Question 4

12 cm

6 cm

24 cm

8 cm

Solution

Question 5

12000

13500

11235

11000

Solution

Question 6

1

100

1000

10

Solution

Question 7

124

120

122 days

108

Solution

Question 8

2a

a

b

2b

Solution

Question 9

1251.29 cm2

1261.29 cm2

2261 cm2

1242.62 cm2

Solution

Question 10

9/10

7/10

None of these

3/10

Solution

User

Question Analysis

My Perfomance

Score

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Rank

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p 1² 2² 3² 4²

q 1³ 2³ 3³ 4³

u 2 4 6 9 12

v 18 9 6 4 3

r 2 5 10 25 50

s 25 10 5 2 0.5

x 0.5 2 8 32

y 2 8 32 128

1251.29 cm²

1261.29 cm²

2261 cm²

1242.62 cm²