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# Mettl Equation Quiz 2

Question 1

Time: 00:00:00
The number of solutions of these equations
x + (1 / y) = 2 and 2xy – 3y = - 2 is:

1

1

2

2

None of these

None of these

Zero

Zero

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Question 2

Time: 00:00:00
Find the value of x and y.
(1 / 2x) – (1 / y) = -1 .....(i)
(1 / x) + (1 / 2y) = 8 .....(ii)

1/3 , 1/4

1/3 , 1/4

1/6 , 1/4

1/6 , 1/4

1/6 , 1/5

1/6 , 1/5

1/3 , 1/5

1/3 , 1/5

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Question 3

Time: 00:00:00
Find the value of u and v.
$\frac{40}{(u + v)} + \frac{2}{(u - v)} = 5$ .....(i)
$\frac{25}{(u + v)} - \frac{3}{(u - v)} = 1$ .....(ii)

6,4

6,4

1,3

1,3

5,7

5,7

3,1

3,1

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Question 4

Time: 00:00:00
The sum of the digits of a two-digit number is 8. the difference between these numbers and the number obtained by reversing it is 18. find the two-digit number.

48

48

32

32

53

53

58

58

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Question 5

Time: 00:00:00
Divide 243 in three points, so that half of I part, 1/3rd of II part and 1/4th of the III part shall be equal.

53, 81, 109

53, 81, 109

54, 71, 109

54, 71, 109

53, 71, 98

53, 71, 98

54, 81, 108

54, 81, 108

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Question 6

Time: 00:00:00
A man’s age is p% of what it was 20 years ago but q% of what he will be after 10 years. What is his present age?

q/p

q/p

p/q

p/q

$\frac{10 (q + 2p)}{p - q}$

$\frac{10 (q + 2p)}{p - q}$

$\frac{5 (q + 3p)}{p - q}$

$\frac{5 (q + 3p)}{p - q}$

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Question 7

Time: 00:00:00
If a two-digit number is added to a number obtained by reversing the digits of the given number, then the sum is always divisible by which one of the following numbers?

7

7

9

9

10

10

11

11

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Question 8

Time: 00:00:00
If x + y + z = 13 and x2 + y2 + z2 = 69, then xy + z (x + y) is equal to

70

70

40

40

50

50

60

60

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Question 9

Time: 00:00:00
If 5x + 9y = 5 and 125x3 + 729y3 = 120 then the value of the product of x and y is:

45

45

135

135

1/135

1/135

1/45

1/45

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Question 10

Time: 00:00:00
The area of the triangle formed by the graph of 3x + 4y = 12, x-axis and y-axis (in sq. units) is

4

4

12

12

6

6

8

8

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