__QUANT QUIZ-14 BASED ON__

__AREA/VOLUME__**1. One diagonal of a rhombus is 60% of the other diagonal. Then, area of the rhombus is how many times the square of the length of the larger diagonal:**

**a. 1/5**

**b. 2/5**

**c.6/7**

**d. 3/10**

**e. none of these**

**2. A rectangular lawn 80m x 60 m has two roads each 10 m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling at Rs 20 per sq.m**

**a. 35000**

**b. 39000**

**c.26000**

**d. 41000**

**e. none of these**

**3. A square park has each side 50 m. At each corner of the park, there is a flower bed in the form of a quadrant of radius 7 m, as shown in the figure. Find the area of remaining part of the park.**

**a. 2346 sq m**

**b. 2340 sq m**

**c. 2250 sq m**

**d. 2155 sq m**

**e. none of these**

**4. If the height of the right circular cone is increased by 200% and the radius of the base is reduced by 50%. Then, the volume of the cone**

**a. Increases by 25%**

**b. increases by 50%**

**c. remains unchanged**

**d. decreases by 25%**

**e. none of these**

**5. In a swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement of water by a man is 8m**

^{3}, what will be the rise in water level:**a. 30 cm**

**b. 33.33 cm**

**c. 20 cm**

**d. 25 cm**

**e. none of these**

**6. A hemispherical bowl has 3.5 cm radius. It is to be painted inside as well as outside. Find the cost of painting it at the rate of Rs 5 per 10 sq cm.**

**a. 50**

**b. 81**

**c. 56**

**d. 77**

**e. none of these**

**7. A tank is 7 m long and 4 m wide. At what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hr and 18 min water level in the tank rises by 4.5 m:**

**a. 12 km/h**

**b. 10 km/h**

**c. 14 km/h**

**d. 18 km/h**

**e. none of these**

**8. A cylindrical box of radius 5 cm contains 10 solid spherical balls. Each of radius 5 cm. If the top most ball touches the upper cover of the box, then volume of the empty space in the box is:**

**a.**

**b.**

**c.**

**d.**

**e. none of these**

**9. A hemispherical basin of 150 cm diameter holds water one hundred and 20 times as much as a cylindrical tube. If the height of the tube is 15 cm, then the diameter of the tube is:**

**a. 27 cm**

**b. 24 cm**

**c. 25 cm**

**d. 26 cm**

**e. none of these**

**10. The length , breadth and height of a room are 5 m, 4 m and 3 m , respectively. Find the cost of whitewashing the walls of the room and selling at the rate of Rs 7.50 per sq. m.**

**a. 250**

**b. 300**

**c. 350**

**d. 555**

**e. none of these**

**ANSWERS**

**1.D, 2.C, 3.A, 4.D, 5.B, 6.D, 7.B, 8.A, 9.C, 10.D,**