1. A rope makes 70 rounds of a circumference of a cylinder whose radius of the base is 14 cm. How many times can it go around a cylinder with radius 20 cm? (c)
a. 72
b. 7
c. 49
d. 51
2. Srivari Riveria is a big housing complex in Coimbatore. Giant tanks are placed in every complex building to cater to the needs of the residents. In a block named Annapurna, three taps P, Q, and R can fill a tank in 12, 15 and 30 hours respectively. The caretaker of the complex has instructions to keep tap P open all the time and Q and R are to be opened for one hour alternately. In which hour will the tank in Annapurna become full? (d)
a. 6th-hour
b. 7th-hour
c. 5th-hour
d. 8th-hour
3. After loading a dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day of the crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by two crews did the day crew load? (d)
a. 1/4
b. 3/8
c. 1/2
d. 5/8
4. A liquid is filled in a hemisphere of inner diameter 9 cm. This is to be poured into cylindrical bottles of diameter 3 cm and height 4 cm. The number of bottles required are (b)
a. 5
b. 7
c. 12
d. 3
5. A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by _____ and each one is working now for 10 hours daily, the work can be completed in time. (c)
a. 75
b. 225
c. 150
d. 100
