**Q6. Two numbers are such that the sum of twice the first number and thrice the second number is 36 and sum of thrice the first number and twice the second number is 39. Which is the smaller number?**

(a) 9

(b) 5

(c) 7

(d) None of these

**Q7. If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:**

(a) 12

(b) 28

(c) 80

(d) 160

**Q8. A 4-digit number is formed by repeating a 2-digit number such as 2525, 3232, etc. Any number of this form is always exactly divisible by:**

(a) 7

(b) 11

(c) 13

(d) Smallest 3-digit prime number

**Q9. A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, then the remainder is:**

(a) 0

(b) 1

(c) 2

(d) 3

**Q10. The sum of the digits of a two-digit number is 81 less than the number. What is the difference between the digits of the number?**

(a) 6

(b) 3

(c) 1

(d) Cannot be determined

**Q11. Anil had to do a multiplication. Instead of taking 35 as one of the multiplies, he took 53. As a result the product went up by 540. What is the new product?**

(a) 1150

(b) 540

(c) 1440

(d) 1590

**Q12. What is the least number of soldiers in a regiment, such that they stand in rows of 18, 15 and 25 and also from a solid square?**

(a) 1800

(b) 225

(c) 900

(d) None of these

**Q13. The average weight of 5 apples is 100 g and the average weight of 4 oranges is 80 g. If 2 apples and 2 oranges are picked from them that average weight is found to be 85 g. What is the average weight of the remaining apples and oranges?**

(a) 88 g

(b) 90 g

(c) 96 g

(d) 95 g

**Q14. In an exam the average was found to be p marks. After deducting typographical error the average marks of 94 students reduced from 84 to 64. Due to this the average came down by 18.8 marks. What was the number of students who took the exam?**

(a) 100

(b) 90

(c) 110

(d) 120

**Q15. Tanuj Johri travels from X to Y at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for the whole journey?**

(a) 36 kmph

(b) 45 kmph

(c) 48 kmph

(d) 50 kmph