Let the number of boys be 4x and number of girls be 6xGiven, 4x+6x = 50&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;x = 5Number of boys = 20 and number of girls = 30Average marks of girls = 60Total marks scored by girls = 60$\times$30 = 1800Average marks score by batch = 62Total marks scored by batch = 62$\times$50 = 3100Marks scored by boys = 3100 - 1800 = 1300Average marks of boys =&nbsp;$\frac{1300}{20}$ = 65Answer is option D.

A : B : C : D = 24($\frac{3}{12}$) : 10($\frac{5}{12}$) : 35($\frac{4}{12}$) : 21($\frac{3}{12}$)A : B : C ; D = 6 :&nbsp;$\frac{25}{6}$ :&nbsp;$\frac{35}{3}$ :&nbsp;$\frac{21}{4}$A : B: C : D = 72 : 50 : 140 : 63Anil's rent =&nbsp;$\frac{72}{72+50+140+63}\times$ Total rent720 =&nbsp;$\frac{72}{325}\times$ TT = Rs&nbsp;3,250Answer is option B.

Volume of copper wire melted will be equal to volume of sphere.Volume of copper wire = Area&nbsp;$\times$ length =&nbsp;$\pi\ \left(\frac{2}{10}\right)^2\times\ 24300\ cm^3$Let the radius of sphere be r$\frac{4}{3}\pi\ r^{3\ \ }=\ \pi\ \left(\frac{2}{10}\right)^2\times\ 24300\ cm^3$$r^3$ = 729r = 9 cmDiameter of sphere = 2(9) = 18 cmAnswer is option B.

Given, cost price is 80% of selling price C.P = 0.8 S.P Profit =&nbsp;$\ \frac{\ S.P\ -\ C.P}{C.P}\times\ 100$ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;=&nbsp;$\ \frac{\ S.P\ -\ 0.8S.P}{0.8S.P}\times\ 100$ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;=$\ \frac{0.2}{0.8}\times\ 100$ &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; = 25% Answer is option B

Number of ways of selecting 2 red balls and 1 green ball =&nbsp;$15_{C_2}.\ 10_{C_1}$ Number of ways of selecting 3 balls =&nbsp;$25_{C_3}$ Probability of selecting 2 red balls and 1 green ball =&nbsp;$\ \frac{15_{C_2}.10_{C_1}}{25_{C_3}}$ =&nbsp;$\frac{21}{46}$ Answer is option A.

Let us consider with average speed of 40 km/hr, train reached its destination in time t hrs with average speed of 30 km/hr, it takes t +$\frac{36}{60}$ hrs Distance will be same in both the cases 40t = 30t + 18 10t = 18 t =&nbsp;$\frac{18}{10}$ Distance = 40t = 40$\times\ \frac{18}{10}$ = 72 km Answer is option A.

Initial amount = Rs 4000 Compounded amount after one year =&nbsp;$4000\left(1+\frac{15}{100}\right)=4600$ Final amount after one year = 4600 - 1500 = Rs 3100 Compounded amount after at the end of two years =&nbsp;$3100\left(1+\frac{15}{100}\right)=3565$ Final amount at the end of two years = 3565-1500 = Rs 2065 Compounded amount after at the end of three years = $2065\left(1+\frac{15}{100}\right)=2374.75$ Final additional amount at the end of three years = 2374.75-1500 = Rs 874.75 The answer is option D.

Total production = 1500 units<img src="https://lightyellow-stork-291267.hostingersite.com/wp-content/uploads/2025/12/image_c3vxjpm.png"> A) A and G production = 240 + 180 = 420 (not greater than 500)B) B and F production = 165 + 75 = 240 ( is less than 250)C) C and E production = 315 + 390 = 705&nbsp;D) D and G production = 135 +180 = 315 ( not less than 200)E) E, F and G production = 390 + 75 + 180 = 645 ( not equal to 545)Only (B) and (C) are true.Answer is option B.

Total number of votes = 15200 15% of total votes are invalid, this implies 85% are valid. 55% of valid votes are secured by winner, this implies 45% of valid votes are secured by loser Voted secured by loser =&nbsp;$\frac{45}{100}\times\ \frac{85}{100}\times\ 15200$ = 5814 Answer is option C.

It is given that $\frac{1}{x}$ is positive and $\frac{1}{y}$ is negative, this implies that x is positive and y is negative. A) $\frac{1}{x}\ +\ \frac{1}{y}$ is positive, we know x is positive, and y is negative, but we cannot conclude which value is greater. Therefore, this may or may not be true. B)$\frac{1}{x}-\frac{1}{y}$ is positive; we know that x is positive and y is negative. So this statement is definitely true. C) $\ \frac{\ x-y}{xy}$= -($\frac{1}{x}-\frac{1}{y}$) As $\frac{1}{x}-\frac{1}{y}$ is positive, $\ \frac{\ x-y}{xy}$ is negative and statement is true. D) $\frac{1}{xy}$ is negative as x is positive and y is negative. Therefore, the statement is false. E)$\frac{1}{x^2}-\frac{1}{y^2}$ is positive only when $y^2&gt;x^2$, but we cannot conclude which value is greater. Therefore, this may or may not be true. Only (B) and (C) are true. Answer is option B

cmat 2022 Complete Paper Solution | Slot 1

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Question 2.

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Question 5.

Question 6.

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Question 10.

cmat 2022 Complete Paper Solution | Slot 1

Question 1.

<div><p>In a batch of 50 students has ratio of Boys to Girls as 4:6. Average marks of Girls are 60 and Average marks of the batch is 62. Average Marks of Boys will be:</p></div>

Question 2.

<div><p>Four sheep farmers rented a pasture, Anil grazed his 24 sheep for 3 months, Bimal 10 sheep for 5 months, Champak 35 sheep for 4 months and Damodar 21 sheep for 3 months,. If Anil&rsquo;s share of rent is Rs. 720, find the total rent of the pasture :</p></div>

Question 3.

<div><p>A copper wire having length of 243m and diameter 4 mm was melted to form a sphere. Find the diameter of the sphere :</p></div>

Question 4.

<div>If the cost price is 80% of the selling price, then what is the profit in percentage?</div>

Question 5.

<div>In a bag there are 15 red balls and 10 green balls. Three balls are selected at random. The probability of selecting 2 red balls and 1 green ball is :</div>

Question 6.

<div>With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 30 km/hr, it is late by 36 minutes. The total distance travelled by train is :</div>

Question 7.

<div>A man borrows Rs 4000 at 15% compound interest. At the end of each year, he pays back Rs 1500. How much additional amount is required to pay at the end of third year to clear all his dues :</div>

Question 8.

Question 9.

<div>In a local election between two candidates, one candidate got 55% of the total valid votes and was declared as winner. 15% of the votes were invalid. If the total number of votes polled were 15200, what were the valid votes of the loser :</div>

Question 10.