Numerical Applications Test 16

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Numerical Applications Test 16

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Weekly Quiz Competition

Question 1
1 / -0

Saturday was a holiday for Republic Day, $$14$$th of the next month is again holiday for Shivratri. What day was it on the $$14$$th?

A
Monday

B
Thursday

C
Tuesday

D
Saturday
Question 2
1 / -0

A group of workers accepted to do a piece of work in $$25$$ days.If $$6$$ of them did not turn up for the work and the remaining workers did the work in $$40$$ days, then the original number of workers was

A
$$22$$

B
$$18$$

C
$$20$$

D
$$16$$

Solution

Let $$x$$ no. of men can do work in 25 days
Using $$M_1D_1=M_2D_2$$
$$25x=(x-6)40$$
$$15x=240$$
$$X=16$$
Question 3
1 / -0

$$120$$ men got food provision for $$200$$ days.After $$5$$ days, $$30 $$men died of an epidemic.The food will last for further

A
$$280\ days$$

B
$$260\ days$$

C
$$290\ days$$

D
$$252\ days$$

Solution

$$120 \times 200 =120\times 5 +90 \times x$$
$$120[200-5]=90 \times x$$
$$\dfrac{120 \times 195}{90}=x$$
$$x=260\ days$$
Question 4
1 / -0

A bus travels 126 km in 3 hours and a train travels 315 km in 5 hours . The ratio of their speeds is ______ .

A
126 : 315

B
2 : 3

C
1 : 3

D
3 : 5

Solution

$$\Rightarrow$$ A bus travels $$126\,km$$ in $$3\,hrs$$.
$$\Rightarrow$$ A train travels $$315\,km$$ in $$5\,hrs$$.
$$\Rightarrow$$ We know, $$Speed=\dfrac{Distance}{Time}$$

$$\therefore$$ Speed of bus = $$\dfrac{126}{3}=42\,km/hr$$

$$\therefore$$ Speed of train = $$\dfrac{315}{5}=63\,km\,hr$$

$$\therefore$$ Ratio of speeds = $$\dfrac{42}{63}=\dfrac{2}{3}=2:3$$
Question 5
1 / -0

There is leak in the bottom of a tank. This leak can empty full tank in 8 hours.When the tank is full, a tap is opened into the tank which admits 6 litres per hour and the tank is now emptied in 12 hours.What is the capacity of the tank?

A
$$28.8$$ litres

B
$$36$$ litres

C
$$144$$ litres

D
$$145$$ litres

Solution

Working by the in let in 1 hour
$$\dfrac{1}{8}-\dfrac{1}{12}=\dfrac{1}{24}$$
$$\therefore $$ Volume of $$\dfrac{1}{24}$$ part = 6 litres
$$\therefore$$ Volume of whole = $$24 \times 6$$ litres
$$=144$$ litres.
Question 6
1 / -0

$$3$$ men or $$5$$ women can do a work in $$12$$ days. How long will $$6$$ men and $$5$$ women take to finish the work?

A
$$4$$ days

B
$$10$$ days

C
$$15$$ days

D
$$20$$ days

Solution

$$3 men$$ $$\equiv 5 women$$

$$6 men + 5 women \equiv 15 women$$

Now, $$5 women$$ can do it in $$12$$ days.

$$1 women$$ can do it in $$12$$ $$\times 5 = 60$$ days.

$$15 women$$ can do it in $$=\dfrac{12\times 5}{15}=4$$ days.
Question 7
1 / -0

A can do $$\dfrac 12$$ of a piece of work in $$5$$ days. B can do $$3S$$ of the same work in $$9$$ days and C can do $$\dfrac 23$$ of that work in $$8$$ days. In how many days can three of them together do the work.

A
$$3$$ days

B
$$5$$ days

C
$$4 \, \dfrac{1}{2}$$ days

D
$$4$$ days

Solution

Given that,
A does $$\displaystyle\frac{1}{2}$$ work in 5 days.
A does the whole work in 10 days.
B does $$\displaystyle\frac{3}{5}$$ work in 9 days.
B does the whole work in 15 days.
C does $$\displaystyle\frac{2}{3}$$ of work in 8 days.
C does the whole work in 12 days.
Let the total unit of work be 60 units. [LCM of (10, 15, 12)]
A does = $$\displaystyle\frac{60}{10}$$ = 6 units/day
B does = $$\displaystyle\frac{60}{15}$$ = 4 units/day
C does = $$\displaystyle\frac{60}{12}$$ = 5 units/day
(A + B + C)s together per day work = 6 + 4 - 5 = 15 units/day
Days required to complete the work = $$\displaystyle\frac{60}{15}$$ = 4 days.
Question 8
1 / -0

Choose the correct answer from the alternatives given.
A can complete a work in m days and B can complete it in n days. How many days will it take to complete the work if both A and B work together?

A
$$(m + n) $$days

B
$$(\dfrac{1}{m} \times \dfrac{1}{n})$$ days

C
$$(\dfrac{m + n}{mn})$$days

D
$$(\dfrac{mn}{m + n})$$days

Solution

Let the total work be mn units. [LCM of m and n]
A does =$$\dfrac{mn}{m}$$ = n units/day

B does =$$\dfrac{mn}{n}$$ = m units / day
A and B together do = (n + m) units/day
Hence, the work will get completed by them in $$\dfrac{mn}{m + n}$$ days.
Question 9
1 / -0

Two taps A and B can fill a tank in $$10$$ hrs and $$12$$ hrs respectively. If both the taps are opened together, the tank will be full in

A
$$5\dfrac { 6 }{ 11 }$$

B
$$5\dfrac { 3 }{ 11 }$$

C
$$5\dfrac { 4 }{ 11 }$$

D
$$5\dfrac { 5 }{ 11 }$$

Solution

$$ A $$ $$ B $$
$$ \Downarrow $$ $$ \Downarrow $$
$$ 10\, hr $$ $$ 12\, hr $$
$$ = \dfrac{1}{10} + \dfrac{1}{12} = \dfrac{6+5}{60} = \dfrac{11}{60}$$
$$ = \dfrac{60}{11} hrs $$
$$ = 5 \dfrac{5}{11} hrs $$
Question 10
1 / -0

A can do a piece of work in $$9$$ days. B is $$50\%$$ more efficient than A. The number of days it takes B to do the same piece of work is:

A
$$13\frac{1}{2}$$

B
$$4\frac{1}{2}$$

C
$$6$$

D
$$3$$

Solution

In one day A can do $$1/9$$ of the job.
Since B is $$50\%$$ more efficient than A
B can do $$\dfrac32.\dfrac 19=\dfrac16$$ of the job in one day.
Therefore, B needs $$6$$ days for the complete job.

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Re-Attempt Weekly Quiz Competition

Numerical Applications Test 16

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Numerical Applications Test 16

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SHARING IS CARING

Question 1

Monday

Thursday

Tuesday

Saturday

Question 2

$$22$$

$$18$$

$$20$$

$$16$$

Solution

Question 3

$$280\ days$$

$$260\ days$$

$$290\ days$$

$$252\ days$$

Solution

Question 4

126 : 315

2 : 3

1 : 3

3 : 5

Solution

Question 5

$$28.8$$ litres

$$36$$ litres

$$144$$ litres

$$145$$ litres

Solution

Question 6

$$4$$ days

$$10$$ days

$$15$$ days

$$20$$ days

Solution

Question 7

$$3$$ days

$$5$$ days

$$4 \, \dfrac{1}{2}$$ days

$$4$$ days

Solution

Question 8

$$(m + n) $$days

$$(\dfrac{1}{m} \times \dfrac{1}{n})$$ days

$$(\dfrac{m + n}{mn})$$days

$$(\dfrac{mn}{m + n})$$days

Solution

Question 9

$$5\dfrac { 6 }{ 11 }$$

$$5\dfrac { 3 }{ 11 }$$

$$5\dfrac { 4 }{ 11 }$$

$$5\dfrac { 5 }{ 11 }$$

Solution

Question 10

$$13\frac{1}{2}$$

$$4\frac{1}{2}$$

$$6$$

$$3$$

Solution

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