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GRE Arithmetic Questions 
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Re: gre arithmetic questions
Some Arithmetic/Maths questions for preparation of GRE (Graduate Record Examinations) are as follows: 1. Of the following, which is greater than ½ ? Indicate ALL such fractions. A. 2/5 B. 4/7 C. 4/9 D. 5/11 E. 6/13 F. 8/15 G. 9/17 2. If an object travels at five feet per second, how many feet does it travel in one hour? A. 30 B. 300 C. 720 D. 1800 E. 18000 3. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive? A. 90 B. 95 C. 100 D. 105 E. 110 4. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long? A. 48 B. 32 C. 24 D. 18 E. 12 5. In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course? A. 6 B. 15 C. 24 D. 33 E. 54 6. A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot). Indicate ALL such answers. A. 17 B. 28 C. 35 D. 39 E. 50 7. ( √2  √3 )² = A. 5  2√6 B. 5  √6 C. 1  2√6 D. 1  √2 E. 1 8. In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC ? A. 18 B. 13.5 C. 9 D. 4.5 E. 3 9. Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required? A. 10 B. 15 C. 20 D. 25 E. 30 10. Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps? A. 5 : 1 B. 10 : 5 C. 15 : 2 D. 20 : 2 E. 25 : 2 11. A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle? A. 2.5π B. 3π C. 5π D. 4π E. 10π 12. Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set? A. 4 B. 7 C. 8 D. 12 E. it cannot be determined from the information given. 13. ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilateral EBFD ? A. 2.25 B. 3 C. 4 D. 4.5 E. 6 14. If n ≠ 0, which of the following expressions could have a value less than n? Indicate ALL such expressions. A. 2n B. n² C. 2  n 15. After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce? A. 20 B. 15 C. 8 D. 5 E. 3.2 16. n and p are integers greater than 1 5n is the square of a number 75np is the cube of a number. The smallest value for n + p is A. 14 B. 18 C. 20 D. 30 E. 50 17. The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C? Indicate ALL such distances. A. 11 B. 7 C. 1 18. √5 percent of 5√5 = A. 0.05 B. 0.25 C. 0.5 D. 2.5 E. 25 19. If pqr = 1 , rst = 0 , and spr = 0, which of the following cannot be zero? Indicate ALL such answers. A. P B. Q C. R D. S E. T 20. A. 1/5 B. 6/5 C. 6³ D. 64 / 5 E. 64 21. 20 , 16 , 12 , 8 .... In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence? Indicate ALL such numbers. B. 200 C. 440 D. 668 E. 762 F. 816 G. 902 22. For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200? A. 48 B. 49 C. 50 D. 51 E. 52 23. In the following correctly worked addition sum, A,B,C and D represent different digits, and all the digits in the sum are different. What is the sum of A,B,C and D? A. 23 B. 22 C. 18 D. 16 E. 14 24. 12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm³) A. 6 B. 8 C. 10 D. 20 E. 40 25. Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ? A. 11/P + 6 B. P/11 +6 C. 17  P/6 D. 17/P E. 11.5P 26. If a² = 12, then a4 = A. 144 B. 72 C. 36 D. 24 E. 16 27. If n is even, which of the following cannot be odd? Select all that apply. A. n + 3 B. 3n C. n²  1 D. 2(n + 3) 28. One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle? Select ALL that apply. A. 24 B. 20 C. 5 29. A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 91 pounds? A. 12 B. 11 C. 10 D. 9 E. 8 30. A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube? A. 8p B. pq C. pq + 27 D. p E. (p  q)6 31. Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop? A. 128 B. 64 C. 32 D. 16 E. 8 32. n is an integer chosen at random from the set {5, 7, 9, 11 } p is chosen at random from the set {2, 6, 10, 14, 18} What is the probability that n + p = 23 ? A. 0.1 B. 0.2 C. 0.25 D. 0.3 E. 0.4 
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