Simple Equations Test

Result

Simple Equations Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are interchanged. Which of the given steps is CORRECT to find the number?

Step 1: Let the unit's digit be x
Step 2: Then, ten's digit =(9−x)∴
Number =10×(9−x)+x⇒90−10x+x=(90−9x)
Step 3: Adding 27 to the number 90−9x,we get 117−9x
Step 4: Number with digits interchanged is 10x+(9−x)=9x+9
Step 5: 117−9x=9x+9
Step 6: Therefore unit's digit = 6 and ten's digit = 3
Step 7: Hence the number = 36.

A
Only Step 4

B
Both Step 1 and Step 2

C
Step 1, 2, 3 and 4

D
All steps are correct
Question 2
1 / -0

Which of the given equation does not have 4 as the solution?

A
p+5=9

B
14−p=10

C
20/p=4

D
9p=36

Solution

p+5=9⇒p=9−5=4 (b)

14−p=10⇒p=14−10=4⇒p=4 (c)

20/p =4/1⇒20=4p or 4p=20⇒p=5(d)

9p=36⇒p=36/.9 =4∴Option (c) does not have 4 as a solution.
Question 3
1 / -0

Pankaj has 96 marbles and Arun has 63 marbles. How many marbles should run give Pankaj so that Pankaj will have twice as many marbles as Arun?

A
9

B
12

C
7

D
10

Solution

Let the number of marbles that Arun should give Pankaj be 'x? Then according to the problem,
(96+x)=2(63−x)⇒3x=30 ⇒x=10
Question 4
1 / -0

You are decorating a gift pack with 15 flowers. You want an equal number of flowers in each of the 3 rows on the gift pack. Which equation would you use to find the number of flowers, r, in each row?

A
r+3=15

B
15+r=3

C
3r=15

D
3/r=15

Solution

Total number of flowers = Number of rows × number of flowers in each row 15=3×r⇒3r=15
Question 5
1 / -0

P is a linear equation. How many solutions does P have?

A
1

B
0

C
3

D
Infinitely many

Solution

A linear equation has only one variable of degree 1. So it has only one solution.
Question 6
1 / -0

A shopkeeper sells bananas in two types of boxes, one small and one large. A large box contains as many as 6 small boxes plus 2 loose bananas. Form an equation which gives the number of bananas in each small box, if the number of bananas in 1 large box is 50.

A
3x+1=50

B
x+1=20

C
6x+2=5

D
2x+1=20

Solution

Let the number of bananas in each small box be x. Number of small boxes = 6 According to question, 6x+2=50
Question 7
1 / -0

144 beads were shared equally among some children. If there were 3 children fewer, each child would have 16 beads each. How many children were there?

A
8

B
9

C
12

D
11

Solution

Let the number of children be x. Then

(x−3) 16 =144 ⇒

x =144/16 + 3 = 9+3 = 12
Question 8
1 / -0

Ram's father's age is 3 years more than two times Ram's age. Ram's father is 45 years old. Form an equation to find Ram's age.

A
2x+3=45

B
3x+2=45

C
6x+3=45

D
5x+1=45

Solution

Let Ram's age be x years Ram's father's age =(2x+3) years According to question,
2x+3=45

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Re-Attempt Weekly Quiz Competition

Simple Equations Test - 8

Result

Simple Equations Test - 8

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SHARING IS CARING

Question 1

Only Step 4

Both Step 1 and Step 2

Step 1, 2, 3 and 4

All steps are correct

Question 2

p+5=9

14−p=10

20/p=4

9p=36

Solution

Question 3

9

12

7

10

Solution

Question 4

r+3=15

15+r=3

3r=15

3/r=15

Solution

Question 5

1

0

3

Infinitely many

Solution

Question 6

3x+1=50

x+1=20

6x+2=5

2x+1=20

Solution

Question 7

8

9

12

11

Solution

Question 8

2x+3=45

3x+2=45

6x+3=45

5x+1=45

Solution

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