1
GATE CSE 2018
MCQ (Single Correct Answer)
+1
-0.3
What would be the smallest natural number which when divided either by $$20$$ or by $$42$$ or by $$76$$ leaves a remainder of $$7$$ in each case?
A
$$3047$$
B
$$6047$$
C
$$7987$$
D
$$63847$$
2
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
3
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
$0.9^k$
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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