1
GATE CSE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.33
Find the smallest number $y$ such that $y \times 162$ is a perfect cube.
A
24
B
27
C
32
D
36
2
GATE CSE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.33
The probability that a $k$-digit number does NOT contain the digits 0, 5, or 9 is :
A
$0.3^k$
B
$0.6^k$
C
$0.7^k$
D
$0.9^k$
3
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A cube is built using $$64$$ cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is __________ .
A
$$56$$
B
$$64$$
C
$$72$$
D
$$96$$
4
GATE CSE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
In a quadratic function, the value of the product of the roots $$\left( {\alpha ,\beta } \right)$$ is $$4.$$ Find the value of $$${{{\alpha ^n} + {\beta ^n}} \over {{\alpha ^{ - n}} + {\beta ^{ - n}}}}$$$
A
$${n^4}$$
B
$${4^n}$$
C
$${2^{2n - 1}}$$
D
$${4^{n - 1}}$$
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