Numerical Applications Test 23

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Numerical Applications Test 23

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Weekly Quiz Competition

Question 1
1 / -0

$15$ men can build a wall in $60$ days. How many more men are required to build another wall of same size in $45$ days?

A
$2$ men

B
$7$ men

C
$5$ men

D
$3$ men

Solution

Let $x$ men are required to build the wall in $45$ days.
Then $x:15::60:45$
$\Rightarrow 45x=15\times 60$
$\Rightarrow x=\dfrac{15\times 60}{45}$
$x=20$ men.
Hence, $20-15=5$ more men are required.
Question 2
1 / -0

A and B together can do a piece of work in $6\dfrac{2}{3}$ days , but B alone can do it in $10$ days. How long will A take to do it alone ?

A
$12$ days

B
$20$ days

C
$25$ days

D
$28$ days

Solution

A and B together can do a piece of work in $6 \dfrac{2}{3}\left(\dfrac{20}{3}\right)$ days
(A+B)'s $1$ day's work $=\dfrac{3}{20}$

B's $1$ day's work $=\dfrac{1}{10}$

A's $1$ day's work $=\dfrac{3}{20}-\dfrac{1}{10}=\dfrac{1}{20}$ .

Hence, A can finish the work in $20$ days .
Question 3
1 / -0

Shrikant reads the following number of pages of a book daily. Find the mean.
$34, 43, 29, 51, 36, 41, 38, 35, 34, 36, 34, 38, 40, 36, 35,$
$35, 34, 35, 36, 34, 38, 38, 35, 36, 34, 38, 36, 34, 35, 36$

A
$35.47$

B
$35.67$

C
$36$

D
$36.47$

Solution

The data numbers are: $34, 43, 29, 51, 36, 41, 38, 35, 34, 36, 34, 38, 40, 36, 35, 35, 34, 35, 36, 34, 38, 38, 35, 36, 34, 38, 36, 34, 35, 36$
Mean = $\cfrac{\text{Sum}}{\text{Total Numbers}}$
Sum of Numbers $= 34 + 43 + 29 + 51 + 36 + 41 + 38 + 35 + 34 + 36 + 34 + 38 + 40 + 36 + 35 + 35$
$+ 34 + 35 + 36 + 34 + 38 + 38 + 35 + 36 + 34 + 38 + 36 + 34 + 35 + 36$
Sum $= 1094$
Total Numbers $= 30$
Mean $= \cfrac{1094}{30}$
Mean $= 36.47$
Question 4
1 / -0

The mean of $3, a+ 2, 8, 12, 2a -1$ and $6$ is $7$ , find the value of $a$ .

A
$2$

B
$3$

C
$4$

D
$5$

Solution

Given, mean is $7$ .
Therefore, mean $=\dfrac {3+a+2+8+12+2a-1+6}{6}$
$\Rightarrow 7=\dfrac {30+3a}{6}$
$\Rightarrow 42=30+3a$
$\Rightarrow 3a=12$
$\Rightarrow a=4$
Question 5
1 / -0

If $10$ horses consume $18$ bushels in $36$ days. How long will $24$ bushels last for $30$ horses?

A
$16$ days

B
$8$ days

C
$18$ days

D
$9$ days
Question 6
1 / -0

Twelve typists , all working with same speed type a certain number of pages in $18$ days working $8$ hours a day . How many hours per day must sixteen typists work in order to type the same number of pages in $9$ days?

A
$10$

B
$18$

C
$12$

D
$14$

Solution

$\textbf{Step1-Find required working hour}$
$\text{Let the speed of typing of each typist $$=x$$ pages/hr}$

$\text{No of pages typed by $$12$$ typist in $$18$$ days working $$8$$ hrs a day}$ $=8x\times 12\times 18$

$=1728x$ $\text{pages}$

$\text{Working hrs required $$=1728$$ hrs}$

$\text{So hrs per day for $$16$$ persons in $$9$$ days }$ $=\dfrac{1728}{9} \times 16$

$=12\text{ hrs/day}$

$\textbf{Hence option C is correct}$
Question 7
1 / -0

$X$ can do a piece of work in $24$ days, while $Y$ alone can do it in $16$ days. With the help of $Z$ they finish the work in $8$ days.
Find in how many days $Z$ can do the work alone?

A
$48$ days

B
$36$ days

C
$24$ days

D
$12$ days

Solution

$X + Y + Z = \displaystyle\frac{1}{8}$
$Z = \displaystyle\frac{1}{8} - X - Y$
$= \displaystyle\frac{1}{8} - \displaystyle\frac{1}{24} - \displaystyle\frac{1}{16}$
$= \displaystyle\frac{1}{48}$
$\therefore Z$ can do the work in 48 days.
Question 8
1 / -0

The mean monthly salary of the $12$ employees of a firm is Rs. $1450$ . If one more person joins the firm who gets Rs. $1645$ per month, what will be the mean monthly salary of $13$ employees?

A
Rs. $1465$

B
Rs. $1954$

C
Rs. $2175$

D
Rs. $2569$

Solution

Mean salary of $12$ employees $=$ Rs. $1450$
Sum of salary of $12$ employees $= 12\times 1450 =$ Rs. $17400$
A new employee joins the firm and he gets, Rs $1645$
Hence, new sum of salary $= 17400 + 1645 = 19045$
New mean $= \dfrac{19045}{13} = 1465$
The new mean salary of all the employees is Rs. $1465$
Question 9
1 / -0

$12$ men can complete a piece of work in $16$ days. How many days will $4$ men take to complete the task?

A
$60$ days

B
$45$ days

C
$54$ days

D
$48$ days

Solution

$1$ man will complete the job in $16\times 12$ days.
So, $4$ will do in $\displaystyle\frac{12\times 16}{4}=48$ days.
Hence, option $D$ is the correct answer.
Question 10
1 / -0

$16$ men can complete a piece of work in $8$ days. In how many days can $12$ men complete the same piece of work?

A
$11\dfrac{1}{5}$ days

B
$10\dfrac{2}{3}$ days

C
$10\dfrac{1}{7}$ days

D
$11\dfrac{5}{2}$ days

Solution

$16$ men can complete a piece of work in $8$ days
$\therefore\,1$ man can complete the work in $(16\times8)$ days (Less men more days so multiply)
$\therefore\,12$ men can complete the work in $\displaystyle\frac{(16\times8)}{12}$ days (More men less days, so divide)
$=\displaystyle\frac{32}{3}$ days $=10\displaystyle\frac{2}{3}$ days.

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Numerical Applications Test 23

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Numerical Applications Test 23

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SHARING IS CARING

Question 1

222 men

777 men

555 men

333 men

Solution

Question 2

121212 days

202020 days

252525 days

282828 days

Solution

Question 3

35.4735.4735.47

35.6735.6735.67

363636

36.4736.4736.47

Solution

Question 4

222

333

444

555

Solution

Question 5

161616 days

888 days

181818 days

999 days

Question 6

101010

181818

121212

141414

Solution

Question 7

484848 days

363636 days

242424 days

121212 days

Solution

Question 8

Rs. 146514651465

Rs. 195419541954

Rs. 217521752175

Rs. 256925692569

Solution

Question 9

606060 days

454545 days

545454 days

484848 days

Solution

Question 10

111511\dfrac{1}{5}1151​ days

102310\dfrac{2}{3}1032​ days

101710\dfrac{1}{7}1071​ days

115211\dfrac{5}{2}1125​ days

Solution

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$2$ men

$7$ men

$5$ men

$3$ men

$12$ days

$20$ days

$25$ days

$28$ days

$35.47$

$35.67$

$36$

$36.47$

$2$

$3$

$4$

$5$

$16$ days

$8$ days

$18$ days

$9$ days

$10$

$18$

$12$

$14$

$48$ days

$36$ days

$24$ days

$12$ days

Rs. $1465$

Rs. $1954$

Rs. $2175$

Rs. $2569$

$60$ days

$45$ days

$54$ days

$48$ days

$11\dfrac{1}{5}$ days

$10\dfrac{2}{3}$ days

$10\dfrac{1}{7}$ days

$11\dfrac{5}{2}$ days