Table of Contents

**Directions (1-5): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer **

(a) if x>y

(b) if x≥y

(c) if x = y or no relation can be established between x and y.

(d) if y>x

(e) if y≥x

**Q1. (i) x² – 12x + 32 = 0
**

**(ii) y² – 20y + 96 = 0**

**Q2. (i) 2x² – 3x – 20 = 0
**

**(ii) 2y² + 11y + 15 = 0**

**Q3. (i) x² – x – 6 = 0
**

**(ii) y² – 6y + 8 = 0**

**Q4. (i) x² + 14x – 32 = 0
**

**(ii) y² – y – 12 = 0**

**Q5. (i) x² – 9x + 20 = 0
**

**(ii) 2y² – 12y + 18 = 0**

**Q6. The population of a town 3,11,250. The ratio of women and men is 43 : 40. If there are 60% literate among men, the total number of illiterate men in the town is :**

(a) 80,000

(b) 60,000

(c) 90,000

(d) 70,000

(e) 68,000

**Q7. The price of a refrigerator and a television set are in the ratio 5 : 3. If the refrigerator costs Rs. 5500 more than the television set, then the price of the refrigerator is :**

(a) Rs. 27500

(b) Rs 8250

(c) Rs 13750

(d) Rs 16500

(e) Rs 15500

**Q8. The marked price of a watch is Rs 1,600. The shopkeeper gives successive discount of 10% and x% to the customer. If the customer pays Rs 1,224 for the watch, the value of x is**

(a) 5%

(b) 10%

(c) 15%

(d) 20%

(e) 18%

**Q9. A box contains Rs 56 in the form of coins of one rupee, 50 paise and 25 paise. The number of 50 paise coins is double the number of 25 paise coins and four times the number of one-rupee coins. How many 50 paise coins are there in the box?**

(a) 52

(b) 64

(c) 32

(d) 16

(e) 18

**Q11. 800 Chocolates were distributed among the students of a class. Each student got twice as many chocolates as the number of students in the class. The number of students in the class was?**

(a) 25

(b) 30

(c) 35

(d) 20

(e) 18

**Q12. The average age of eleven cricket players is 20 years. If the age of the coach is also included, the average age increased by 10%. The age of the coach is?**

(a) 48 years

(b) 44 years

(c) 40 years

(d) 36 years

(e) 42 years

**Q13. Two containers have acid and water mixed in the ratio 3 : 1 and 5 : 3 respectively. To get a new mixture with ratio of acid to water as 2 : 1, the two types of mixture have to be mixed in the ratio?**

(a) 1 : 2

(b) 2 : 1

(c) 2 : 3

(d) 3 : 2

(e) 2 : 5

**Q14. In what time will Rs 10500, at 3% per annum (simple interest), produce the same interest as Rs 6000 does in 2 years at 10% compound interest?**

(a) 5 years

(b) 6 years

(c) 3 years

(d) 4 years

(e) 7 years

**Practice More Questions of Quantitative Aptitude for Competitive Exams:**

Solutions

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