Q1:

The ratio of the altitudes of a triangle is 2 : 3: 4. Find the sides of the triangle if the perimeter of the triangle is 273 m.

Q2:

In the given figure, AD and CE are the two medians drawn from A and C respectively. If AC = 5 cm and AD $=\frac{3\sqrt{5}}{2}$. Find the length of CE.

Q3:

If 7x + 7y = 42, then what is the average of x and y?

Q4:

Ananya’s average spending on food for the first three months was Rs. 782.25, for the next five months it was Rs. 104.30 more than what it was during the first three months. If Ananya spent Rs. 900 in all during the remaining four months, what percentage of her annual income of Rs. 7500 she saved in that year?

Q5:

In a scientific experiment, nine observations were taken to find out the value of a constant. The average of nine observation came out to be 85. If the average of first five observations is 82 and the average of last three observations is 95. Find the sixth observation.

Q6:

While writing average of 10 given numbers, a student by mistake wrote 64 in place of a number 46 and got average 50. Find his actual average

Q7:

In the figure, OD is perpendicular to the chord AB of a circle whose center is O. Radius of the circle is 5 cm. The chord AC = 80 cm. What is the area of BDO?

Q8:

In a cyclic quadrilateral ABCD; $\angle$A, $\angle$B measures 60⁰ and 75⁰ and remaining two angles are in ratio 8 : 7 respectively. Find the measure of angle C.

Q9:

The ratio of the ages of A and B is 3:1. Four years ago the ratio was 4 : 1,Find the average age of A and B after 2 years .

Q10:

In a hotel, there are 40 rooms on the first floor, 50 on the second, 40 on the third, and 30 on the fourth floor. In a particular month, 50% of the rooms were occupied on the first floor, 30% of the rooms on the second floor, 40% on the third floor, and 50% on the fourth floor. The room charges are ₹1500, ₹1000, ₹1200, and ₹1100 on each of the floors. What is the average income per room for the month?

Q11:

A rectangular sheet of iron of length 44 cm and breadth 15 cm was folded to its length to form a cylinder. The cylinder thus formed was filled with water. Find the maximum liters of water that can be stored in the cylinder.

Q12:

Average of ten positive number is$\overline{A}$. If each number is increased by 10%, then which of the following will indicate value of $\overline{A}$.

Q13:

The square in the given figure has a perimeter of 32 cm. If the perimeter of ABCDM is 30 cm. What is the perimeter of ΔAMD?

Q14:

The average height of 12 persons is 5 feet and 5 inches. 3 persons, two of 5 feet 8 inches each and one of 6 feet left the group. What is the average height of the remaining people?

Q15:

In the given figure $\overline{PQ}\perp \overline{QR}$ and $\overline{PQ}\perp \overline{PS}$. What is y in terms of x?