1
GATE ECE 2021
+1
-0.33
p and q are positive integers and $${p \over q} + {q \over p} = 3$$, then $${{{p^2}} \over {{q^2}}} + {{{q^2}} \over {{p^2}}}$$ =
A
11
B
3
C
9
D
7
2
GATE ECE 2021
+1
-0.33
The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 yeas ago?
A
9,92,500
B
9,95,006
C
12,51,506
D
10,00,000
3
GATE ECE 2019
+1
-0.33
Five different books (P, Q, R, S, T) are to be arranged on a shelf. The books R and S are to be arranged first and second respectively from right side of the shelf. The number of different orders in which P, Q and T may be arranged is ________.
A
6
B
2
C
12
D
120
4
GATE ECE 2019
+1
-0.33
It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machine work simultaneously at their respective constant rates, the time taken to complete the same order is _______ hours.
A
$${4 \over 3}$$
B
$${3 \over 4}$$
C
$${2 \over 3}$$
D
$${7 \over 3}$$
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