Common Management Admission Test
Hello aspirant,
Colleges that accept the CMAT will each declare the CMAT cut off date of 2024. As more than 1000 B-schools throughout the country accept CMAT scores for admission to their MBA and PGDM programs, applicants should aim for a 100 percentile on the exam, which is between 345 and 360 points.
To know the cutoff of top colleges in Gujrat, you can visit the website by following link:
https://bschool.careers360.com/articles/cmat-cutoff
Thank you
Hope it helps you.
Question : Directions: Three of the following letter clusters are alike in some manner and one is different. Select the one that is different.
Option 1: MRVY
Option 2: GLPS
Option 3: NSWZ
Option 4: TGQJ
Correct Answer: TGQJ
Solution : Let's check each option – First option: MRVY; M + 5 = R; R + 4 = V; V + 3 = Y Second option: GLPS; G + 5 = L; L + 4 = P; P + 3 = S Third option: NSWZ; N + 5 = S; S + 4 = W; W + 3 = Z Fourth option: TGQJ; T + 13 = G; G + 10 = Q; Q – 7 = J
The fourth option is different from the other three options because the difference in the position value of the letters is different. Hence, the fourth option is correct.
Question : Assertion: Dematerialization refers to the conversion of physical securities into electronic form.
Reason: Dematerialization helps in reducing the risk of theft and forgery of securities.
Option 1: Both assertion and reason are true, and the reason is the correct explanation of the assertion.
Option 2: Both assertion and reason are true, but the reason is not the correct explanation of the assertion.
Option 3: Assertion is true, but the reason is false.
Option 4: Assertion is false, but the reason is true.
Correct Answer: Both assertion and reason are true, and the reason is the correct explanation of the assertion.
Solution : The correct answer is (a) Both assertion and reason are true, and the reason is the correct explanation of the assertion.
The assertion is true. Dematerialization indeed refers to the process of converting physical securities, such as share certificates and bonds, into an electronic or digital form, which is held in a demat account.
The reason is true and provides the correct explanation of the assertion. Dematerialization helps in reducing the risk of theft and forgery of securities because electronic or digital securities are held in a demat account and do not involve the physical handling and transfer of paper certificates, thereby reducing the risk of theft or forgery associated with physical certificates.
Question : Directions: Some equations are solved based on certain systems. On the same basis, find the correct answer from amongst the four alternatives for the unsolved equation in the question. a = 12(390)8; b = 7(134)5; c = 5(?)12
Option 1: 299
Option 2: 289
Option 3: 279
Option 4: 280
Correct Answer: 279
Solution : Given: a = 12(390)8; b = 7(134)5; c = 5(?)12
Square the sum of the first and third numbers and then subtract 10 from the resultant, to obtain the middle number – Here, a = 12(390)8→(12 + 8)2 – 10 = (20)2 – 10 = 400 – 10 = 390 b = 7(134)5→(7 + 5)2 – 10 = (12)2 – 10 = 144 – 10 = 134 c = 5(?)12→(5 + 12)2 – 10 = (17)2 – 10 = 289 – 10 = 279
So, 279 is the required missing term. Hence, the third option is correct.
Question : The radius of the ends of a frustum of a solid right-circular cone 45 cm high is 28 cm and 7 cm. If this frustum is melted and reconstructed into a solid right circular cylinder whose radius of base and height are in the ratio 3: 5, find the curved surface area (in ${cm}^2$ ) of this cylinder. [Use $\pi=\frac{22}{7}$.]
Option 1: 4580
Option 2: 4610
Option 3: 4640
Option 4: 4620
Correct Answer: 4620
Solution : According to the question, Area of the frustum = Volume of the cylinder ⇒ $\frac{1}{3}\pi$ ((7)2 + (28)2 + 7×28) 45 = $\pi r^{2} h$ where $r$, $h$ are the radius and heights of the cylinder ⇒ $\frac{1}{3}\pi(49 + 754 + 196)$ 45 = $\pi × 9x^{2} × 5x$ ⇒ (49 + 754 + 196) 15 = $9x^{2} × 5x$ ⇒ 1029 = $3x^{3}$ ⇒ $x^{3}$ = $\frac{1029}{3}$ = 343 ⇒ $x$ = $\sqrt{343}$ = 7 Curved surface area = $2\pi r h$ = 2 $\frac{22}{7}$ × 35 × 21 = 2 × 22 × 5 × 21 = 4620 Hence, the correct answer is 4620.
Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word. ADMINISTRATION
Option 1: STRAIN
Option 2: TRADITION
Option 3: SITUATION
Option 4: RATION
Correct Answer: SITUATION
Solution : Given: ADMINISTRATION
Now, let's compare all the option words with the word ADMINISTRATION – First option: STRAIN; All the letters of STRAIN are present in the word ADMINISTRATION. Second option: TRADITION; All the letters of TRADITION are present in the word ADMINISTRATION. Third option: SITUATION; All the letters of SITUATION are not present in the word ADMINISTRATION. U is not present in the word ADMINISTRATION. Fourth option: RATION; All the letters of RATION are present in the word ADMINISTRATION.
So, from the above, only SITUATION cannot be formed using the letters of the word ADMINISTRATION. Hence, the third option is correct.
Question : Which training method is best suited for teaching theoretical concepts and principles?
Option 1: On-the-job training
Option 2: Case studies
Option 3: Simulations
Option 4: Lectures and presentations
Correct Answer: Lectures and presentations
Solution : The correct answer is (d) Lectures and presentations.
Lectures and presentations are the training methods best suited for teaching theoretical concepts and principles. In a lecture or presentation format, an instructor can deliver information, explanations, and demonstrations of theoretical concepts and principles. This method allows for a structured and systematic approach to conveying knowledge, providing explanations, and presenting theoretical frameworks. Lectures and presentations are effective for introducing new concepts, providing in-depth explanations, and highlighting key theoretical principles in a concise and organized manner.
Question : Rajesh invested INR 10,000 by dividing it into two different investment schemes, A and B, at simple interest rates of 8% and 10%, respectively. If the total interest earned in 2 years is INR 1,680, the amount invested in scheme A is:
Option 1: INR 8,000
Option 2: INR 2,000
Option 3: INR 6,000
Option 4: INR 4,000
Correct Answer: INR 8,000
Solution : Let the amount invested in scheme A be $x$ and in scheme B be $y$ Rate of A scheme = $\frac{8}{100}$ = 0.08 Rate of B scheme = $\frac{10}{100}$ = 0.10 Total invested amount INR 10,000 ⇒ $x + y$ = 10,000 Total interest = ($x$ × 0.08 × 2) + ($y$ × 0.10 × 2) = 1680 ⇒ 0.16$x$ + 0.20 $y$ = 1680 ⇒ 0.16 $x$ + 0.20(10,000 – $x$) = 1680 ⇒ 0.16 $x$ + 2000 − 0.20 $x$ = 1680 ⇒ – 0.04 $x$ = 1680 – 2000 = – 320 ⇒ $x$ = $\frac{– 320}{ – 0.04}$ = 8000 Hence, the correct answer is INR 8,000.
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