A. 24
B. 23
C. 119
D. 120
✅ The correct answer is option C. 119.
Number of words which can be formed = 5! – 1 = 120 – 1 = 119.
Number of words which can be formed = 5! – 1 = 120 – 1 = 119.
Mathematics
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12. In an examination a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
A. 8
B. 9
C. 10
D. 11
✅ The correct answer is option D. 11.
Let the number of papers be x. Then,
Let the number of papers be x. Then,
13. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
A. Rs. 3642.40
B. Rs. 3868.80
C. Rs. 4216.20
D. Rs. 4082.40
✅ The correct answer is option D. Rs. 4082.40.
Length of the first carpet = (1.44)(6) = 8.64 cm
Length of the first carpet = (1.44)(6) = 8.64 cm
14. If the roots of the equation 2×2 – 5x + b = 0 are in the ratio of 2:3, then find the value of b?
A. 3
B. 4
C. 5
D. 6
✅ The correct answer is option A. 3.
Let the roots of the equation 2a and 3a respectively.
Let the roots of the equation 2a and 3a respectively.
2a + 3a = 5a = -(- 5/2) = 5/2 => a = 1/2
Product of the roots: 6a2 = b/2 => b = 12a2
a = 1/2, b = 3.
15. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every Third day ?
A. 12 days
B. 15 days
C. 16 days
D. 18 days
✅ The correct answer is option C. 16 days.
16. In a test a candidate attempted only 8 Questions and secured 50% marks in each of the questions if the obtained a total of 40% in the test and all questions in the test carried equal marks, how many questions were there in the test?
A. 8
B. 10
C. 15
D. 16
✅ The correct answer is option B. 10.
17. A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
A. Rs. 300
B. Rs. 400
C. Rs. 500
D. Rs. 600
✅ The correct answer is option D. Rs. 600.
18. Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is_______?
A. 16 : 5
B. 14 : 5
C. 16 : 7
D. 19 : 5
✅ The correct answer is option D. 19 : 5.
19. What is the probability that a leap year has 53 Sundays and 52 Mondays?
A. 0
B. 1/7
C. 2/7
D. 5/7
✅ The correct answer is option B. 1/7.
20. Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
A. 4000
B. 5000
C. 6000
D. 7000
✅ The correct answer is option C. 6000.