If y = kx, where k is a constant, and y = 78 when x = 13, what is the value of y when x = 9 ? If y = kx, where k is a constant, and y = 78 when x = 13, what is the value of y when x = 9 ?

1 Mark(s)

2626

5454

5252

4848

Find the ratio in which brand X almonds costing \(\$192\) per kg is to be mixed with brand Y almonds costing \(\$ 150\) per kg so that the mixed almonds when sold for \( $194.40\) per kg gives a profit of\(20 \%\) ?

Find the ratio in which brand X almonds costing \(\$192\) per kg is to be mixed with brand Y almonds costing \(\$ 150\) per kg so that the mixed almonds when sold for \( $194.40\) per kg gives a profit of\(20 \%\) ?

1 Mark(s)

2:5

3:5

5:3

5:2

A 120 meter long train is running at speed of 90 km/hr. It will cross a railway platform 230 m long in how many seconds?

A 120 meter long train is running at speed of 90 km/hr. It will cross a railway platform 230 m long in how many seconds?

1 Mark(s)

\( 4 \ seconds \)

\( 7 \ seconds \)

\( 12 \ seconds \)

\( 14 \ seconds \)

\(If \ x^2+ \frac{1}{x^2} =98 (x>0) \ then \ find \ the \ value \ of \ x^3 + \frac{1}{x^3} \ is ?\)

\(If \ x^2+ \frac{1}{x^2} =98 (x>0) \ then \ find \ the \ value \ of \ x^3 + \frac{1}{x^3} \ is ?\)

1 Mark(s)

-970

1030

970

-1020

The average weight of 3 men, A, B, and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E whose weight is 3 kg more than that of D, replaces A then the average weight of B, C, D, and E becomes 79 kg. What is the weight of A?

The average weight of 3 men, A, B, and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E whose weight is 3 kg more than that of D, replaces A then the average weight of B, C, D, and E becomes 79 kg. What is the weight of A?

The sum of the digits of a certain two-digit number is 11. Reversing its digits decreases the number by 9. Find the number?

The sum of the digits of a certain two-digit number is 11. Reversing its digits decreases the number by 9. Find the number?

1 Mark(s)

56

92

65

74

If \( n^2 = 5n + c \), represents a square. Find the value of 'c' ?

If \( n^2 = 5n + c \), represents a square. Find the value of 'c' ?

1 Mark(s)

\( \frac{5}{4} \)

\( \frac{1}{4} \)

\( \frac{2}{3} \)

\( \frac{25}{4} \)

A trader gives \(4 \%\) discount on the selling price and gives 1 game free for buying every 15 games and gains \(35\%\). The selling price is above the cost price by what percent?

A trader gives \(4 \%\) discount on the selling price and gives 1 game free for buying every 15 games and gains \(35\%\). The selling price is above the cost price by what percent?

1 Mark(s)

\( 20 \% \)

\( 39 \% \)

\( 40 \% \)

\( 50 \% \)

\(Solve : \ -8x \ - \ 20y \ = \ -4 \ and \ 6x \ + \ 10y \ = \ -2 \\ find \ the \ value \ of \ ( x \ + \ y )^2\)

\(Solve : \ -8x \ - \ 20y \ = \ -4 \ and \ 6x \ + \ 10y \ = \ -2 \\ find \ the \ value \ of \ ( x \ + \ y )^2\)

Rik is selling music concert tickets to raise funds for his school STEAM club. On the day one of ticket sales he sold 9 adult tickets and 10 student tickets for a total of \($179\).

He raised \($41\) on the second day by selling 3 adult tickets and 1 student ticket. Find the price of the student ticket?

Rik is selling music concert tickets to raise funds for his school STEAM club. On the day one of ticket sales he sold 9 adult tickets and 10 student tickets for a total of \($179\).

He raised \($41\) on the second day by selling 3 adult tickets and 1 student ticket. Find the price of the student ticket?

1 Mark(s)

\( 11 \)

\( 8 \)

\( 5 \)

\( 13 \)

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