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Browse complete papersIf the number 48327 * 8 is completely divisible by 11, then the value of * will be
5
3
2
1
Correct answer
5
If a + b + c = 9 and ab + bc + ca = 23, then the value a3 + b3 + c3 -3abc of will be
108
207
669
723
Correct answer
108
If a polynomial f(x) is divided by (2x + 3), then the remainder will be
\(f(\frac{2}{3})\)
\(f(\frac{-2}{3})\)
\(f(\frac{3}{2})\)
\(f(\frac{-3}{2})\)
Correct answer
\(f(\frac{2}{3})\)
Length of one diagonal of a rhombus is 75% of that of second diagonal. Area of this rhombus is how many times the square of the smaller diagonal?
\(\frac{2}{3}\)
\(\frac{3}{8}\)
\(\frac{3}{2}\)
\(\frac{8}{3}\)
Correct answer
\(\frac{2}{3}\)
Sum of areas of all faces of a cube is 3750 square meter, then what will be the sum of length of all edges of that cube?
225 m
125 m
300 m
325 m
Correct answer
225 m
If the volume of a sphere is divided by its surface area, the result is 27 cm, then the radius of the sphere is
9 cm
27 cm
81 cm
243 cm
Correct answer
9 cm
What is the value of expression
\((1-\frac{1}{2^{2}})(1-\frac{1}{3^{2}})(1-\frac{1}{4^{2}})\cdots(1-\frac{1}{19^{2}})(1-\frac{1}{20^{2}})\)
0.522
0.552
0.525
0.555
Correct answer
0.522
The L.C.M. of two multiples of 12 is 1056. If one of the numbers is 132, then what will be other number from among the following?
12
72
96
84
Correct answer
12
If \(x = \frac{\sqrt{3}}{2}\) then the value of \(\frac{(\sqrt{1+x}+\sqrt{1-x})}{(\sqrt{1+x}-\sqrt{1-x})}\) will be
\(-\sqrt3\)
-1
1
\(\sqrt3\)
Correct answer
\(-\sqrt3\)
An amount becomes four times in 20 years from simple interest. What is the annual rate of interest ?
6%
\(6\frac{2}{3}\)%
15%
10%
Correct answer
6%