Q1. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg?
3 : 7
5 : 7
7 : 3
7 : 5
3: 5

Q2. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is
Rs. 18
Rs. 18.50
Rs. 19
Rs. 19.50
Rs. 21.50

Q3. Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 693/13% milk, is
2 : 7
3 : 5
2 : 5
5 : 7
4: 7

Q4. The sum of the ages of Jayant, Prem and Paras is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Paras ?
24 years
28 years
32 years
34 years
38 years

Q5. The ratio of a man’s age and his son’s age is 7 : 3 and the product of their ages is 756. The ratio of their ages after 6 years will be
5 : 2
2 : 1
11 : 7
13 : 9
None of these

Directions (6-10): The pie-chart shown below gives the distribution of land (in degrees) in a village under various food crops. Study the pie-chart carefully and answer the questions that follow: Distribution of areas (in acres) under various food crops
Q6. Which combination of three crops contribute to 50% of the total area under the food crops ?
Wheat, Barley and Jowar
Rice, Wheat and Jowar
Rice, Wheat and Barley
Bajra, Maize and Rice
None of these

Q7. If the total area under jowar was 1.5 million acres, then what was the area (in million acres) under rice ?
6
7.5
9
4.5
8

Q8. If total production of wheat is 6 times that of barley, then what is the ratio between the yield per acre of wheat and barley ?
3 : 2
3 : 1
12 : 1
2 : 3
10: 1

Q9. If the yield per acre of rice was 50% more than that of barley, then total production of barley is what percent of that of rice?
30%
100/3%
35%
36%
50/3%

Q10. If the total area goes up by 5%, and the area under wheat production goes up by 12%, then what will be the angle for wheat in the new pie-chart?
62.4°
76.8°
80.6°
84.2°
68.8°

Directions (11-15): In each of these questions, two equations are given. You have to solve both the equations and give answer
Q11. (i) 4x² + 14x – 18 = 0
(ii) y² + 12y + 35 = 0
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y.

Q12. (i) 4x² + 17x - 42 = 0
(ii) y² + 21y + 90 = 0
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y.

Q13. (i) x² - 24x + 128 = 0
(ii) y² - 34y + 288 = 0
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y.

Q14. (i) 8x² – 30x + 28 = 0
(ii) 5y² – 8y + 3 = 0
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y.

Q15. (i) x² – 31x + 184 = 0
(ii) y² – 47y + 552 = 0
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y.