| Coverage : The GRE Practice Test - Math - Simplification has been designed to test the important concepts related to simplification. The test covers important topics like solving certain equations by simplifying and applying formulae, substituting values in formulae for simplifying, determing the expression which has greatest value amongst others etc. |
| 1. | Simplify the following:
0.24*0.24+0.76*0.76+0.24*1.52 |
| a. | | 1.00 |
| b. | | 0.01 |
| c. | | 0.001 |
| d. | | 10.0
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| 2. | Simplify the following:
3.02*3.02+0.98*0.98+1.96*3.02 |
| a. | | 4 |
| b. | | 16 |
| c. | | 12 |
| d. | | 9
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| 3. | Simplify the following:
(0.682*0.682-0.318*0.318)/(0.682+0.318) |
| a. | | 0.364 |
| b. | | 0.424 |
| c. | | -0.364 |
| d. | | -0.424
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| 4. | Simplify the following:
7.25*7.25+1.25*1.25-2*7.25*1.75 |
| a. | | 6.00 |
| b. | | 7.00 |
| c. | | 36.00 |
| d. | | 49.00
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| 5. | Simplify the following:
{(3.29*3.29)-(1.18*1.18)}/(3.29-1.18) |
| a. | | 2.11 |
| b. | | 1.18 |
| c. | | 3.29 |
| d. | | 4.47
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| 6. | Simplify the following:
{(1.00)³+3*(0.25)²+3*0.25+(.25)³}/(1.25)³ |
| a. | | 0.25 |
| b. | | 1.25 |
| c. | | 1.00 |
| d. | | 0.1
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| 7. | If a=2, b=3 and c=4; then simplify:
{(a)³+(b)³+(c)³-3*a*b*c}/{(a)²+(b)²+(c)²-a*b-b*c-c*a} |
| a. | | 6 |
| b. | | 7 |
| c. | | 8 |
| d. | | 9
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| 8. | Simplify the following:
{(4.25)³-(1.25)³}/(4.25)²+(1.25)²+4.25*1.25 |
| a. | | 4 |
| b. | | 3 |
| c. | | 5 |
| d. | | 2
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| 9. | Find the value of (1024)0.9÷(1024)0.6: |
| a. | | 8 |
| b. | | 16 |
| c. | | 6 |
| d. | | 9
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| 10. | Find the value of (8)2/3÷(125)-4/3: |
| a. | | 3000 |
| b. | | 3600 |
| c. | | 2500 |
| d. | | 2750
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| 11. | Find the value of [{(72)3}-6]: |
| a. | | 7 |
| b. | | 1/7 |
| c. | | 49 |
| d. | | 1/49
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| 12. | Find the possible value of x from the following expression (3x+8)1/5 -2=0 |
| a. | | 24 |
| b. | | 32 |
| c. | | 8 |
| d. | | 9
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| 13. | Find the value of (6561)1/7 * (729)1/7: |
| a. | | 81 |
| b. | | 3 |
| c. | | 9 |
| d. | | 27
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| 14. | Find the value of {(2401)1/2}1/2 : |
| a. | | 49 |
| b. | | 14 |
| c. | | 7 |
| d. | | 21
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| 15. | Find the value of [{(163)5}1/3]1/5÷[{(22)3}1/2]1/3: |
| a. | | 16 |
| b. | | 2 |
| c. | | 4 |
| d. | | 8
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| 16. | Simplify 1-1/[2+3/{4-5/(6+7/8)}]: |
| a. | | 35/13 |
| b. | | 23/35 |
| c. | | 35/13 |
| d. | | 119/13
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| 17. | Simplify 36÷6*(3/4 of 2/9 ÷ 7/4 of 2/7): |
| a. | | 12 |
| b. | | 15 |
| c. | | 18 |
| d. | | None of these
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| 18. | Simplify: 3÷[3+3÷{3+3÷ (3+3÷4)}] |
| a. | | 17/26 |
| b. | | 11/29 |
| c. | | 13/17 |
| d. | | 19/24
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| 19. | Find the value of x:
1+1÷{x+1÷ (1-1/3)}=7/5 |
| a. | | 1 |
| b. | | 2 |
| c. | | 3 |
| d. | | 5
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| 20. | Find the value of x:
x ÷ [(8-5) ÷ {(4-2) ÷ {2+(8/13)}}]=13/17 |
| a. | | 2 |
| b. | | 1 |
| c. | | 3 |
| d. | | 7
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| 21. | Simplify the following:
{(31/2 - 21/2) ÷ (41/2 + 21/2)} ÷ [1+1/ {3+1/ (3-1/3)}] |
| a. | | 3/19 |
| b. | | 5/27 |
| c. | | 13/25 |
| d. | | 3/16
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| 22. | The value of (2.85*2.85*2.85-1.35*1.35*1.35) ÷ (2.85*2.85+2.85*1.35+1.35*1.35) is: |
| a. | | 4.20 |
| b. | | 1.50 |
| c. | | 0.150 |
| d. | | 0.420
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| 23. | Evaluate:
(7*7-7*3+3*3) ÷ (73 + 33) |
| a. | | 10 |
| b. | | 3/7 |
| c. | | 7/3 |
| d. | | 1/10
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| 24. | Find the value of x:
(54÷x of 1/2) + (3/5 * 25/2) = 27/2 |
| a. | | 15 |
| b. | | 17 |
| c. | | 21 |
| d. | | 18
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| 25. | How many ¼'s is there in 39 ½ ? |
| a. | | 150 |
| b. | | 158 |
| c. | | 160 |
| d. | | 162
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| 26. | Find the value of x:
{x + 1/3 ÷ 1/3 of 1/9 -5/7 *7/3 ÷ 11/8 of (7 ½ - 3 ½)} = 15 26/27 |
| a. | | 13 ½ |
| b. | | 2/27 |
| c. | | 81/4
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| d. | | 71/3
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| 27. | Find the value of given expression:
(2-1/2)(2-2/3)(2-3/4)(2-4/5)…………………..(2-999/1000) |
| a. | | 1001/2 |
| b. | | 1000/999 |
| c. | | 1002/3 |
| d. | | 991/1000
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| 28. | Find the vale of x:
142/3 + 61/6 = 113/18 + x |
| a. | | 92/9 |
| b. | | 29/3 |
| c. | | 59/6
d)111/9
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| 29. | Simplify the following:
5 ÷ [(9-5) ÷ {(9-4) ÷ (9+1/6)}] |
| a. | | 7/4 |
| b. | | 15/22 |
| c. | | 3/4 |
| d. | | 11/13
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| 30. | Which of the following is greatest term:
3/7, 2/5 and 4/7 |
| a. | | 2/7 |
| b. | | 2/5 |
| c. | | 4/7 |
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| 31. | If a/b=1/4, then (4a+3b)/(4a-3b) is equal to: |
| a. | | -4 |
| b. | | 4 |
| c. | | 2 |
| d. | | -2
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| 32. | Which of the following numbers is the greatest? |
| a. | | (0.7)2 |
| b. | | 1 ÷ 0.7 |
| c. | | (0.7)3 |
| d. | | 0.7*0.1
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| 33. | A person was to multiply a fraction by 3/5. Instead, he divided the number and got an answer which exceeds the correct answer by 16. Find the number. |
| a. | | 13 |
| b. | | 12 |
| c. | | 17 |
| d. | | 15
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| 34. | Between two fractions 1/3 and 1/12, how many fractions are there in all? |
| a. | | four |
| b. | | three |
| c. | | zero |
| d. | | infinite
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| 35. | Find the value of x:
(2/3*3/4) ÷ (x*5/6) ÷ (6/7*7/8) = 1 |
| a. | | 3/5 |
| b. | | 5/7 |
| c. | | 4/5 |
| d. | | 3/5
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| 36. | If we multiply the fraction by itself and divide the product by its reciprocal then the fraction becomes 64/343. Find the fraction: |
| a. | | 4/3 |
| b. | | 3/4 |
| c. | | 4/7 |
| d. | | 7/4
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| 37. | If (a+b)/a=25/13, then find the value of (a-b)/(a+b): |
| a. | | 1/25 |
| b. | | 13/12 |
| c. | | 12/13 |
| d. | | 25
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| 38. | Simplify the following:
(2.05+1.05)2 - x = 4*2.05*1.05 |
| a. | | 0.01 |
| b. | | 0.001 |
| c. | | 0.0001 |
| d. | | 1.00
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| 39. | If one fifth of a number is subtracted from one third of the same number then 10 is obtained. Find the number? |
| a. | | 65 |
| b. | | 60 |
| c. | | 75 |
| d. | | 50
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| 40. | A boy spends ½ part of his pocket money and then earns ½ part of the remaining money, what part of money is with him now? |
| a. | | 1/2 |
| b. | | 2/3 |
| c. | | 1/3 |
| d. | | 3/4
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| 41. | If 5/7 part of a number is 105, then what is the value of 3/7 part of the same number? |
| a. | | 63 |
| b. | | 126 |
| c. | | 189 |
| d. | | 75
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| 42. | Find the difference between the greatest and the lowest fractions?
3/5, 5/13, 11/17, 19/21 |
| a. | | 142/273 |
| b. | | 252/300 |
| c. | | 8/11 |
| d. | | 75/201
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| 43. | A man complete 4/15 part of his work in first day, 3/5 part of work in second day and the remaining part in third day. What part of work he does in third day? |
| a. | | 1/5 |
| b. | | 2/15 |
| c. | | 3/5 |
| d. | | 4/7
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| 44. | Simplify the following:
{(169/289) - (49/169)} ÷ {(13/17) + (7/13)} |
| a. | | 221/50 |
| b. | | 50/221 |
| c. | | 288/221 |
| d. | | 221/288
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| 45. | Find the difference between the greatest and the lowest fractions?
3/5, 5/7, 2/3 and 7/9 |
| a. | | 45/8 |
| b. | | 8/45 |
| c. | | 7/13 |
| d. | | 7/12
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| 46. | If half of a number is subtracted from 5/7 of the same number then 15 is obtained. Find the number? |
| a. | | 75 |
| b. | | 70 |
| c. | | 65 |
| d. | | 60
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| 47. | A man complete 11/13 part of his work in first day, 1/26 part of work in second day and the remaining part in third day. What part of work he does in third day? |
| a. | | 3/26 |
| b. | | 3/25 |
| c. | | 7/11 |
| d. | | 11/21
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| 48. | If 7/11 part of a number is 105, then what is the value of 7/15 part of the same number? |
| a. | | 75 |
| b. | | 77 |
| c. | | 78 |
| d. | | 76
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