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Arithmetic Aptitude :: Surds and Indices

1.  (17)3.5 x (17)? = 178
2.  A. 2.29 B. 2.75 C. 4.25 D. 4.5

3. If$$[\frac { a } { b }]^X-1$$=$$[\frac { b} { a }] ^X-3$$, then the value of x is

4.  A. $$[\frac { 1 } { 2 } ]$$ B. 1 C. 2 D. $$[\frac { 7 } { 2 } ]$$

5. Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:

6.  A. 1.45 B. 1.88 C. 2.9 D. 3.7

7. If 5a = 3125, then the value of 5(a - 3) is:

8.  A. 25 B. 125 C. 625 D. 1625

9. If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:

10.  A. 0 B. 2 C. 4 D. 6

11.  (256)0.16 x (256)0.09 = ?
12.  A. 4 B. 16 C. 64 D. 256.25

13. The value of [(10)150 ÃƒÆ’· (10)146]

14.  A. 1000 B. 10000 C. 100000 D. 106

15. (25)7.5 x (5)2.5 Ã· (125)1.5 = 5?

16.  A. 8.5 B. 13 C. 16 D. 17.5 E. None of these

17. $$\frac { 1 } {1+X(b-a)+X(c-a) }$$+$$\frac { 1 } { 1+X(a-b)+X(c-b) }+$$$$\frac { 1 } {1+X(b-c)+X(a-c)}=?$$

18.  A. 0 B. 1 C. xa - b - c D. None of these

19.  (0.04)-1.5 = ?
20.  A. 25 B. 125 C. 250 D. 625