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Directions (1-3): Compare the value of 2 quantities given in the question and give answer
Q1. Quantity 1: Circumference of the circle. The diameter of a circle is equal to the perimeter of a square whose area is 3136 cm².
Quantity 2: No. of different ways in which the letters of the word ‘VIRTUAL’ can be arranged.
Q2. Quantity 1: No. of revolutions per minute made by wheel in order to keep a speed of 66 kmph. The diameter of the driving wheel of a bus is 280 cm.
Quantity 2: A cord is in the form of a square enclosing an area of 121 cm². Area of the circle make by bending the same cord.
Q3. Quantity 2: Actual price of hand bag. Udita purchased a hand bag in Rs. 2,520. Later she felt that she had given 5% extra of the actual price of hand bag.
Quantity 1: Sum invested by man in scheme B. A person has a total sum Rs. 16,650. He invests some part of this amount in scheme A at a rate of 10% for two years and rest part in scheme B at a rate of 20% for two years. The simple interest earned from both the scheme are equal.
Q4. A boy and girl together fill a cistern with water. The boy pours 4 litres of water every 3 minutes and the girl pours 3 litres of water every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?
Q5. A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 am pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 A.M.?
Q6. Three pipes A, B and C can fill a tank in 6 hours, 9 hours and 12 hours respectively. B and C are opened for half an hour, then A is also opened. The time taken by the three pipes together to fill the remaining part of the tank is:
Q7. A cistern is provided with two pipes A and B. A can fill it in 20 minutes and B can empty it in 30 minutes. If A and B be kept open alternatively for one minute, each, how soon will the cistern be filled?
Q8. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first then in how many hours, the tank shall be full?
Q9. A teacher wants to select a girl out of 6 and a boy out of 8 for the drawing competition. In how many ways can be select?
Q10. There are 6 students to be seated around a circular table. In how many ways they can be seated if two particular persons are next to each other.
Considering these 2 persons as 1 pair
Total number of circular arrangements = 2! × 4! = 48
Directions (11-15): What should come in place of question mark (?) in the following given questions (just calculate the approximate value)?
Q11. 441.01 – 232.99 + 1649.99 = ? + 1225.92
⇒ 1858 ≈ ? + 1226
⇒ ? ≈ 1858 – 1226 ≈ 632 ≈ 630
Q12. 23.001 × 18.999 × 7.998 = ?
Q13. 73.99% of 1299 + 9.98% of 1899 = ?
Q15. 89.988% of 699.9 + 50.002% of 999.99 – 170.015 = ?