# Number System Questions and answers

Topics

11). Value of $$\Large \left( \frac{2^{-3}}{5} \right) ^{-2}$$ is
 A). $$\Large \frac{1}{1600}$$ B). 1600 C). $$\Large \frac{1}{40}$$ D). 40
12). If $$\Large x^{-2/3}$$ = $$\Large \frac{1}{4}$$ and x is a positive whole number, then the value of 2x is
 A). 8 B). 16 C). 24 D). 32
13). If $$x^2$$ = 64 and $$y^2$$ = 49, then difference between greatest possible value of (x - y) and least possible value of (x + y) is
 A). 0 B). 10 C). 15 D). 30
14). No square of a number ends with
 A). 2,3,7 and 8 B). 3,5,6 and 8 C). 2,5,7 and 9 D). 2,3,7 and 9
15). If $$4^2 + 5^2 +x^2 = 21^2$$, then the value of x is
 A). 9 B). 12 C). 15 D). 20

16). The students of a class donated Rs.2401 Each student donated as many rupees as the number of students in the class, then the number of students in the class is
 A). 25 B). 49 C). 81 D). 119
17). The least square number which is exactly divisible by each of these number 6,9,15 and 20 is
 A). 400 B). 900 C). 961 D). 1024
18). Value of $$\Large\left[ \left( 24^2 + 7^2 \right)^{1/2} \right] ^3$$ is
 A). 625 B). 1025 C). 15625 D). 10245
19). Three numbers are in the ration 1:2:3. If the sum of their cubes is 98784, then the numbers are
 A). 7,14,28 B). 14,28,42 C). 6,12,18 D). 12,18,36
20). For what value of x, $$\Large 3^{3x - 5} = \frac{1}{9^x}$$?

 A). 1 B). 3 C). 5 D). 9
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