There are 100 employees in an organization across five departments. The following table gives the department-wise distribution of average age, average basic pay and allowances. The gross pay of an employee is the sum of his/her basic pay and allowances. (CAT 2008)
There are limited numbers of employees considered for transfer/promotion across departments. Whenever a person is transferred/promoted from a department of lower average age to a department of higher average age, he/she will get an additional allowance of 10% of basic pay over and above his/her current allowance. There will not be any change in pay structure if a person is transferred/promoted from a department with higher average age to a department with lower average age.
Questions below are independent of each other.
1. There was a mutual transfer of an employee between Marketing and Finance departments and transfer of one employee from Marketing to HR. As a result, the average age of Finance department increased by one year and that of marketing department remained the same. What is the new average age of HR department?
2. What is the approximate percentage change in the average gross pay of the HR department due to transfer of a 40-yr old person with basic pay of Rs. 8000 from the Marketing department?
(1) 9% (2) 11% (3) 13% (4) 15% (5) 17%
3. If two employees (each with a basic pay of Rs. 6000) are transferred from Maintenance department to HR department and one person (with a basic pay of Rs. 8000) was transferred from Marketing department to HR department, what will be the percentage change in average basic pay of HR department?
In a class,25% of the students were absent for the exam.30% failed by 20 marks and 10% jst passed becase of the grace marks of 5.Find the average score of the class if the rmaining students scord ann average of 60 marks and the pass marks are 33 (counting the final scores of th candidate).
Solve this and tell me why the average class is calculatd from 75 not from 100.
There is a 4 digit number. The sum of its digits at the unit's and ten's place is equal to the sum of its digits at the hundred's and thousand's place. Also, the sum of its digits at the hundred's place and ten's place is equal to twice the sum of its digits at thousands and unit's place. Also, the sum of all its digits is more than 20. What is the possible value of its digit at unit's place ?
Two persons X and Y start simultaneously from points P and Q respectively towards each other. X travels with a uniform speed of 8 kmph. Y starts with a speed of 3 kmph and increases his speed by 0.5 kmph every hour. They met at the midpoint of PQ. Which of the following holds true?
1.X and Y meet after 21.5 hours.
2.PQ = 324 km.
3. After 21 hours from the time they started, the average speed of Y would be more than that of X.
Q.5 A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 20% impurities to the product. Find the net profit percentage of the dealer?
A and B, who are separated by a distance 90 m, are approaching towards each other. The initial speed of A is 5 m/s and that of B is 10 m/s. If A increases his speed by 5 m/s every second, when will they meet each other?
A train is travelling at a speed of 96 km/hr. It takes 3 s to enter a tunnel and 30 s more to pass through it completely. What is the length of the train? and length of tunnel?
A cistern has a capacity of 40,000 L. Initially, it is half full. Everyday, a certain quantity of water is used but at the end of the day, 4/3 of the used quantity is replaced into the cistern. If the amount of water used is the same everyday, then what is the total quantity of water used for refilling till the cistern is full?
Geometric Probability #1 What is the probability of a point to lie inside a square of side 'a' given that both the point and the square are on the same plane?
A train, an hour after starting meets with an accident whic hdetains it for 30 minute. After this train proceeds at 3/4 of its org speed and arrivs 7/2 hourlate. Had the accident happened 90 km farther, it would have arrived 3 hr late.Find the length of track and its speed.
IN the figure attached below , In a right angled triangle ABC ,right angled at B ,the angle subtended by AB at the incenter is 110,if d is the midpoint of the hypotenuse , find the measure of angle BDC .
