Since the word PERFECT contains 7 characters, it letter can be arranged in 7! Ways.
It contains two number of E, therefor you have to divide above value by 2!.
Hence required number of arrangements = 7! / 2!
= 2520
In a school, 442 boys and 374 girls have been divided into the largest possible equal classes, so that each class of boys numbers the same as each class of girls. What is the number of classes?
Number of boys = 442
Number of girls = 374
Strenght of class = HCF of 442 and 374 = 34
Number of classes of boys = 442 / 34 = 13
Number of classes of girls = 374 / 34 = 11
So, Required number of classes = 13+11 = 24
The price of a motorcycle is increased by 25% of cost price and then decreased by 40% of the new price. On selling, the loss for the dealer was ₹5,000. At what price was the motorcycle sold?
When a Minister arrives to his cabin, he finds 12 peoples waiting to meet him.
If he can meet only one people at a time, find the number of ways, he can schedule his meeting with the person if 3 leave in disgust before minister gets around to meeting them.
26 operators working 7 hours a day can complete a set of job in 24 days. In how many days will 21 operators working 8 hours a day do the same set of job?
OPtion
1) 21 DAYS
2) 23 DAYS
3) 19 DAYS
4) 20 DAYS
5) 28 DAYS
6) 27 DAYS
7) 22 DAYS
8) 30 DAYS
9) 26 DAYS
10) None of the above
Solution
We have- M1D1T1 = M2D2T2
D2 = M1D1T1 / M2T2
D2 = 26 X 7 X 24 / 21 X 8
= 26 DAYS
Ranjeet was devided his company shares among Rohan and Gautam in the ratio 4 : 7. If Gautam’s share was 3500 nos., the total sum of shares was (in numbers)?
The average age of 16 employee in a working for an organization is decreased by 3 months, when an employee aged 17 years replaced by a new employee. Find the age of new employee.
OPtion
1) 14 years
2) 12 years
3) 17 years
4) 16 years
5) 15 years
6) 14 years
7) 13 years
8) 10 years
9) 20 years
10) None of the above
Solution
Age of new employee = Age of replaced employee + Number of employee x change in average
= 17 +16 x (-3/12)
= 17 – 4 = 13 years