Numerical Applications Test 7

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Numerical Applications Test 7

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Weekly Quiz Competition

Question 1
1 / -0

A can do a piece of work in 40 days. He worked at it for 5 days, then B finished it in 21 days. The number of days that A and B take together to finish the work are

A
15 days

B
14 days

C
13 days

D
10 days

Solution

A csn do a piece of work in 40 days
Work of A in 1 day=1/40
Work of A in 5 days=5/40=1/8
1/8th part of work is done by A
Remaining work=$$\left( 1-\frac { 1 }{ 8 } \right) =\frac { 7 }{ 8 } $$
7/8th part is done by B in 21 days
Total work will be done by B in $$=\frac { 21 }{ \frac { 7 }{ 8 } } =\frac { 21 }{ 7 } \times 8=24days$$
Work done by B in one day=1/24
Work done by A and B together in one day will be$$\left( \frac { 1 }{ 40 } +\frac { 1 }{ 24 } \right) $$
$$\left( \frac { 3+5 }{ 120 } \right) =\frac { 8 }{ 120 } =\frac { 1 }{ 15 } $$
A and B will take 15 days to complete the work together.
Question 2
1 / -0

Out of 100 students 50 fail in English and 30 in Maths. If 12 students fail in both English and Maths, then the number of students passing both the subjects is

A
26

B
28

C
30

D
32

Solution

Total number of students=100
Number of students fail in English=(50-12)=38
Number of students fail in Maths=(30-12)=18
Number of students fail in both=12
Therefore total failing students=(38+18+12)=68
Pass in both the subjects=(100-68)
=32 students
32 students have passed in both subjects
Question 3
1 / -0

Find the AM of $$20$$ and $$26$$.

A
$$23$$

B
$$22$$

C
$$21$$

D
$$24$$

Solution

$$\displaystyle AM=\frac { 20+26 }{ 2 } =\frac { 46 }{ 2 } =23$$
Question 4
1 / -0

The mean of the following natural numbers $$1, 2,3 ...... 10$$ is

A
$$6.5$$

B
$$4.5$$

C
$$5.5$$

D
$$5.4$$

Solution

Mean $$ = \dfrac {1 + 2 + 3 + 4 + 5 +6 + 7 + 8 + 9 + 10}{10} = 5.5 $$
Question 5
1 / -0

A clocks takes six seconds to strike four how long it will take to strike ten?

A
15 sec

B
16 sec

C
20 sec

D
18 sec

Solution

When the clock strikes four there are three intervals between So three interval take 6 seconds and each interval takes 2 seconds
Now when it strikes 10 there are 9 intervals
and it takes 18 sec
Question 6
1 / -0

If $$35$$ men can reap a field in $$8$$ days; in how many days can $$20$$ men reap the same field ?

A
$$14$$

B
$$10$$

C
$$7$$

D
$$20$$

Solution

Since Total work done is same.
$$35 \times 8=20 \times x$$
$$\Longrightarrow x=\dfrac{35 \times 8}{20}$$
$$\Longrightarrow x=14$$ days
Question 7
1 / -0

In a class there are 18 boys who are over 160 cm tall If these constitute three-fourths of the boys and the total number of boys is tow-third of the total number of students in the class what is the number of girls in the class?

A
6

B
12

C
18

D
24

Solution

Given in class there are 18 boys who over 160 cm tall and these are three- fourths of total boys
Then total boys in class=$$18\div \frac{3}{4}= 18\times \frac{4}{3}=24$$
And total no of student in class=$$24\times \frac{3}{2}=36$$
Then number of girls=36-24=12
Question 8
1 / -0

A scanner can print at a rate of $$5$$ pages per minute. Calculate the number of hours will it take to print $$300$$ pages?

A
$$0.5$$

B
$$1$$

C
$$1.5$$

D
$$3$$

Solution

Scanner print $$5$$ pages in $$1$$ minute.
$$\therefore$$ number of hours required to print $$300$$ pages would be $$=$$ $$\dfrac{300}{5}=60$$ minute $$=1$$ hour.
Question 9
1 / -0

$$10$$ pipes fill a tank in $$3$$ hours. How many pipes are required to fill it in $$2$$ hours?

A
$$15$$

B
$$25$$

C
$$30$$

D
$$18$$

Solution

This is an example is of inverse proportion
No. of pipes Time taken
$$10$$ $$3$$ hours
$$x$$ $$2$$ hours
By inverse proportion,
$$10\times 3 = x\times 2$$
$$\therefore x = \dfrac{10\times3}{2}$$
$$\therefore x = 15$$
Hence the answer is option A
Question 10
1 / -0

A person crosses a 600 m long street in 5 minutes. what is his speed in km per hour ?

A
3.6

B
7.2

C
8.4

D
10

Solution

Distance=600m
Time=5 min=5\times 60 sec
$$Speed=\dfrac{Distance}{times}$$
$$\Rightarrow \dfrac{600}{5\times 60} m/sec$$
$$\Rightarrow 2 m\sec\Rightarrow 2\times\dfrac{18}{5}=7.2 Km/hr$$

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Re-Attempt Weekly Quiz Competition

Numerical Applications Test 7

Result

Numerical Applications Test 7

Score

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Rank

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SHARING IS CARING

Question 1

15 days

14 days

13 days

10 days

Solution

Question 2

26

28

30

32

Solution

Question 3

$$23$$

$$22$$

$$21$$

$$24$$

Solution

Question 4

$$6.5$$

$$4.5$$

$$5.5$$

$$5.4$$

Solution

Question 5

15 sec

16 sec

20 sec

18 sec

Solution

Question 6

$$14$$

$$10$$

$$7$$

$$20$$

Solution

Question 7

6

12

18

24

Solution

Question 8

$$0.5$$

$$1$$

$$1.5$$

$$3$$

Solution

Question 9

$$15$$

$$25$$

$$30$$

$$18$$

Solution

Question 10

3.6

7.2

8.4

10

Solution

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