Direction (1-5): – Bar graph given below shows total persons (male + females) who play four different rolls in a drama and number of males who play these rolls respectively. Study the data carefully and answer the following questions.
Note: One person plays only one roll not more than one.
Q1. Find the ratio between total number of persons (male + females) who play roll of Weavers, Painters and Farmers together to the total number of females who play role of Painter and Carpenter together?
(a) None of the given options
(b) 12: 53
(c) 53 : 12
(d) 23 : 8
(e) 51: 14
Q2. Total number of males who play roll of Weaver and Carpenter together is how much less than total no. of persons (male + female) who play roll of Carpenter and Farmer together?
(d) None of the given options
Q3. Total number of males who play roll of Painter and Farmer together is what percent of the total females who play same rolls?
(b) None of the given options
Q4. Out of total males and females who play roll of Carpenter, 50% and 284/7% respectively were awarded for their performances. Find total persons (males + females) who were not awarded for their performances for the same roll is what percent of total persons (male + female) who play this roll?
Q5. Find the average number of females who play all the rolls together.
Q6. A vessel contains 60 lit of pure honey. If m lit of pure honey is replaced with n lit of water then ratio of honey to water becomes 10: 1 and if 2m lit of pure honey were replaced by n lit of water, then ratio of honey to water becomes 8: 1. Find the value of ‘m + n’?
Q7. The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
(a) Rs. 32,500
(b) Rs. 48,750
(c) Rs. 76,375
(d) Rs. 81,250
(e) Rs. 72,375
Q8. Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
(a) Rs. 8000
(b) Rs. 10,000
(c) Rs. 12,000
(d) Rs. 10,500
(e) Rs. 14,000
Q9. In how many different ways can the letters of the word ‘JUDGE’ be arranged in such a way that the vowels always come together?
Q10. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
Directions (11-15): In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer
(a) x ≥ y
(b) x ≤ y
(c) x < y
(d) x > y
(e) x = y or Relationship between x and y cannot be established
Q11. I. x² – 208 = 233
II. y² + 47 – 371 = 0
Q12. I. x² – 11x + 24 = 0
II. 2y² – 9y + 9 = 0
Q13. I. x³ × 13 = x² × 247
II. y1/3 × 14 = 294 ÷ y2/3