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1. Simplify the following: (169/121)-3/2 * 27/2 * (13/22)-1
13-1 114 33
13-2 114 34
13-3 114 34
13-4 114 33
2. (272/4-3)-5/6 = ?
1/1296
1/46656
1/7256
1/7776
3. (5 - 7)2 * (6 - 9)2 / (23)-2 = ?
-2304
2304
-2382
None of these
4. (a-3 b-2 / a2 b2)-3 * (a3 b-4 / a-3 b3) / (a-2 b3/a-4 b-3) = ?
a-19 b
a-19 b-1
a19 b-1
None of these
5. (8x9 / 27y-6)-2/3 = ?
9/4 x-6 y-4
9/4 x-4 y-6
9/4 x-6 y4
None of These
6. (3a+1 9a+2 27a) / (3a-1 9a 27a+1) = ?
3
9
27
1
7. (272/3 * 91/2 * 811/4)-1/4 = ?
3
9
1/3
None of these
8. (3-3 * 95/2) / (272/3 * 3-4) = ?
3
9
81
21
9. (9-7 / 27-3)4/5 = ?
3-1
3-2
3-3
3-4
10. 1714 * 1716) / 17-8 = ?
1728
1724
1726
1722
11. Simplify : 1 - {1 + (a2 - 1)-1}-1
1/a2
a2
-1/a2
None of these
12. Simplify : (y4b-a . y4c-b . y4a-c) / (ya . yb . yc)3
0
1
y
y2
13. If 34m+1 = 37m-5, solve for m.
2
3
1/3
None of these
14. If 24m+2 = 46m-4, solve for m.
7/4
2
5/4
None of these
15. If y3 = 0.008, y5 = ?
0.00032
0.0032
0.000032
None of these
16. Solve for m if 3(√3)m+4 = (√3)2m+7
0
-1
2
None of these
17. Identify the greatest numbers: 450, 2100, 1625
450
2100
1625
All are equal
18. If x = 3 - √7, then find the value of x + 1/x.
1/2 (9 + √7)
1/2 (9 - √7)
1/2 (7 + √10)
1/2 (7 - √10)
19. If x = 3 - √7, then find the value of x + 1/x.
1/2 (9 + √7)
1/2 (9 - √7)
1/2 (7 + √10
1/2 (7 - √10)
20. Which of the following is the greatest?
41/4
37/10
51/2
31/4
21. 242 + 420 + 1611 + 647 equals
(241)(1)
(242)(52)
(240) (5)
240 * 52
22. If a + b + c = 0 and abc ≠0, then [Xa3 / abc][Xb3 / abc][Xc3 / abc] equals
X2
XC
X3
X0
23. Simplify: yp(q - r) . yq(r - p) . yr(p - q)
0
1
yD
y2
24. Which of the following is the greatest?
323
332
232
222
25. [(√7 + √5) / ( (√7 - √5)] + [(√7 - √5) / (√7 + √5)] = ?
6
12
14
None of these
26. If x = √11 + √20, y = √15 + √17 and z = √14 + √18, then which of the following holds true?
x < y < z
y < z < x
y < x < z
x < z < y
27. . If x = √3 - √2, then find (x - 1/x)2
2
4
2√2
None of these
28. If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true?
x < z < y
z < x < y
x < y < z
z < y < x
29. If x = √196 + √200, then x/2 + 2/x is?
14
7
2√50
None of These
30. If x = √196 + √200, then x/2 + 2/x is?
14
7
2√50
√50
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