Q4. In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year, and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find the value of x.
Q5. Visitors to a show were charged Rs. 15.00 each on the first day, Rs. 7.50 on the second, Rs. 2.50 on the third day. Visitors total attendance for three days were in the ratio 2: 5: 13. Find out the average charge per visitor for the entire show.
(a) Rs. 7
(b) Rs. 5
(c) Rs. 9
(d) Rs. 11
Q6. A man whose bowling average is 12.4, takes 5 wickets for 26 runs and, thereby decreases his average by 0.4. The number of wickets, taken by him, before his last match is:
Q7. If the digit in the units place of a two-digit number is halved and the digit in the tens place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?
(a) Digits in the units place and the tens place are equal.
(b) Sum of the digits is a two-digit number.
(c) Digit is the units place is half of the digit in the tens place.
(d) Digit in the units place is twice the digit in the tens place.
Q8. If the two digits of the age of Mr. Manoj are reversed then, the new age so obtained is the age of his wife. 1/11 of the sum of their ages is equal to the difference between their ages. If Mr. Manoj is elder than his wife then find the difference between their ages?
(a) Cannot be determined
(b) 10 years
(c) 8 years
(d) 9 years
Q10. The speeds of three cars in the ratio 5: 4: 6. The ratio between the time taken by them to travel the same distance is:
(a) 5 : 4 : 6
(b) 6 : 4 : 5
(c) 10 : 12 : 15
(d) 12 : 15 : 10
Q11. Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?
(a) 58 kg
(b) 60 kg
(c) 64 kg
(d) 70 kg
Q12. The price of a Maruti car rises by 30% while the sales of the car comes down by 20%. What is the percentage change in the total revenue?
Q13. A person who has a certain amount with him goes to market. He can buy 40 oranges or 50 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance, he purchases oranges. Number of oranges he can purchase is
Q14. The length of a room floor exceeds its breadth by 20 m. The area of the floor remains unaltered when the length is decreased by 10 m but the breadth is increased by 5 m. The area of the floor (in square metres) is:
Q15. The radii of two circle are 5 cm and 3 cm, the distance between their centre is 24 cm. Then the length of the transverse common tangent is
(a) 16 cm
(b) 15√2 cm
(c) 16 √2 cm
(d) 15 cm