(Paper) The Review of CET Sample Paper

The Review of CET Sample Paper

SECTION 2

Directions Q. 1 to 14: these questions are independent of each other.

1. A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subjects has the same maximum marks, in how many subjects did he pass the exam?

(a) 2 (b) 3 (c) 4 (d) 5

2. In how many ways can the eight directors, the Vice-chairman and the Chairman of a firm be seated at a round-table, if the Chairman has to sit between the Vice-chairman and a director?

(a) 9! ? 2 (b) 2 ? 8! (c) 2 ? 7! (d) None of these

3. If log2[log7(x2 - x + 37) ] = 1, then what could be the value of x?

(a) 3 (b) 5 (c) 4 (d) None of these

4. After a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percent above the cost price does he mark his goods?

(a) 28.56% (b) 35% (c) 22.22% (d) None of these

5. An old man has Rs. (1! + 2! + 3! + ...+ 50!), all of which he wants to divide equally (without fractions) among his n children. Then, n may be

(a) 5 (b) 7 (c) 9 (d) 11

6. A dealer buys dry fruit at Rs.100, Rs. 80 and Rs. 60 per kg. He mixes them in the ratio 3 : 4 : 5 by weight, and sells them at a profit of 50%. At what price does he sell the dry fruit?

(a) Rs. 80/kg (b) Rs. 100/kg (c) Rs. 95/kg (d) None of these

7. An express train travelling at 80 kmph overtakes a goods train, twice as long and going at 40 kmph on a parallel track, in 54 seconds. How long will the express train take to cross a station 400 m long?

(a) 36 sec (b) 45 sec (c) 27 sec (d) None of these

8. A student, instead of finding the value of 7/8th of a number, found the value of 7/18th of the number. If his answer differed from the actual one by 770, find the number.

(a) 1584 (b) 2520 (c) 1728 (d) 1656

9. P and Q are two integers such that P ? Q = 64. Which of the following cannot be the value of P + Q?

(a) 20 (b) 65 (c) 16 (d) 35

10. The average marks of a student in ten papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest.

(a) 55 (b) 60 (c) 62 (d) Cannot be determined.

11. If the roots, x1, and x2, of the quadratic equation x2 - 2x + c = 0 also satisfy the equation 7x2 - 4x1 = 47, then which of the following is true?

(a) c = - 15 (b) x1 = - 5, x2 = 3

12. The sum of the areas of two circles which touch each other externally is 153?. If the sum of their radii is 15, find the ratio of the larger to the smaller radius.

(a) 4 (b) 2 (c) 3 (d) None of these

13. If m and n are integers divisible by 5, which of the following is not necessarily true?

(a) m - n is divisible by 5. (b) m2 - n2 is divisible by 25.

14. Which of the following is true?

(a) 7³² = (73)² (b) 7³² > (73)2 (c) 7³² < (73)2 (d) None of these

Directions Q 15 to 16: A survey of 200 people in a community who watched at least one of the three channels—BBC, CNN and DD showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN.

15. What is the maximum percent of people who can watch all the three channels?

(a) 12.5 (b) 8.5 (c) 17 (d) Insufficient data.

16. If 5% of the people watched DD and CNN, 10% watched DD and BBC, then what percent of the people watched BBC and CNN only?

(a) 1% (b) 5% (c) 8.5% (d) cannot be determined

Directions Q 17 to 19: These questions are independent of each other.

17. A man earns x% on the first 2000 rupees and y% on the rest of his income. If he earns Rs 700 from Rs 4000 and Rs 900 from Rs 5000 of income, find x.

(a) 20 (b) 15 (c) 35 (d) None of these

18. AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If AB is 15 cm, AC is 12 cm and BD is 9 cm, find the area of the quadrilateral ACBD.

(a) 54? (b) 216? (c) 162? (d) None of these

19. P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is three less than two times R, find the value of R.

(a) 5 (b) 7 (c) 9 (d) 11

20. ABC is a three-digit number in which A > 0. The value of ABC is equal to the sum of the factorials of its three digits. What is the value of B?

(a) 9 (b) 7 (c) 4 (d) 2

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