Engineering

20 Questions

20 Minutes

GRE

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1. What least number should be subtracted from 2590 so that the remainder when divided by 9, 11 and 13 will leave in each case the same remainder 6? Which of the following statements is true? Indicate the corrrect option.

2. Which is the smallest number by which 19404 should be multiplied to make it a perfect square? Indicate the correct option.

3. If a/b = 1/5 which of the following is equal to (3a+2b)/(3a-2b)? Indicate the correct option.

4. Find the next number in the series 12, 17, 23, 30, 38. Indicate the correct option.

5. The price of commodity A is $5800 and it decreases at the rate of $2 per three months. Commodity B costs $4200 and it increases at the rate of $8 per four months. How many years will it take for the two commodities to become equal in price? Indicate the correct option.

6. If the roots of the equation ax^2+cx+b=0 be equal, then which of the following is the correct value of b? Indicate the correct option. [x^2=x*x]

7. Alice can knit a sweater in 30 days, Laura in 20 days and Sandra in 60 days. How many days will they take to knit the sweater if they share their work? Indicate the correct option.

8. A boat takes 6 hours to go downstream and upstream a certain distance. It takes 4 hours to travel twice the distance downstream. Which of the following is the ratio of the speed of the boat in still water to the speed of the river? Indicate the correct option.

9. Which of the following is equal to 2% of 22% of 222? Indicate the correct option.

10. Which of the following is the average of the first 10 even numbers? Indicate the correct option.

11. By what number should each of 15, 24, 51 and 87 be lessened so that the remainders are in proportion? Indicate the correct option.

12. Sam lent $4000 to Pam for two years at 5% simple interest. After two years, he lent the complete amount to Ann for three years at 7%. What was the interest returned by Ann? Indicate the correct option.

13. How many terms are required at the least to add up to at least 100 in the series 3, 5, 7, 9 ...? Indicate the correct value.

14. Annie and Simmi run a race of 2km. Annie beats Simmi by 30m. Simmi reaches the finish line 6 seconds after Annie does. How long did Annie take to complete the distance? Indicate the correct option.

15. A dishonest shopkeeper mixes water in acid to earn a profit. He sells acid worth $5.4/litre at $4.2/litre. If he initially had 14 litres of acid then how many litres of water did he add to it? Indicate the correct option.

16. The first day of a leap year is a Sunday. How many Mondays does the year contain? Indicate the correct option.

17. If (x-2) is a factor of the polynomial 6x^3-2ax^2+ax-6, what is the value of 'a'? Indicate the correct option.

18. The volume of a cylinder is 550 cc and its radius is 5cm. What is the height per unit radius of the cylinder? Indicate the correct option.

19. Which of the following is equal to [81*3^(n+1)-9*3n]/[81*3(n+3)-3*3(n+3)]? Indicate all correct options.

20. Peter has a circular field. His cottage and the cattle are diametrically opposite along the field. If the area of his field is 169pi meters, then what is the length of the shortest path that he can construct in the field to go from his cottage to his cattle? Indicate the correct option.