which of the can be sum of perfect squares of 2 odd numbers?
9864
16296
25258
18452
Answer (3) Solution Any odd square can be written as 4n+1 so sum of two odd squares will be (4a+1)+(4b+1) = 4k+2 means when number should leave 2 as remainder when divided by 2. Only option following this is option (3)
There are 2 pills for fever and 2 pills for allergy. All the four pills look identical. You have to take 1 of each in a day. How would you do it.
Solution Break all the pills in half and then take all the half pills. That way you will consume 1 pill for fever and 1 pill for allergy.
which of the following is not a perfect square
609961
982064
309136
779687
Answer (4) Solution digital sum of option (4) is 8. Digital sum can only be 1, 4, 7, 9 for a perfect square.
A Shopkeeper marked the price of an item to make profit of 37.5%, but further gave 16% discount. Find his actual profit.
21.5%
15.5%
18%
None of these
Answer: (2) 15.5% Solution cost price is C, then marked is 37.5% above means 3/8 above MP = 11/8C Discount of 16% on MP discount = 16% of 11/8C = 22%C now selling price = 137.5% C -22% C = 115.5% C
On each corner of a triangular park a person is standing. If all three starts moving then what is the probability that none of them will cross anyone’e path?
Answer: (4) 1/4 Solution There are total 2^3 = 8 possibilities. And out of those 8 there are only 2 cases in which they will not cross each other, when all them move clockwise or all of them move anticlockwise.
A Guitar was sold at 13% loss. But if the Selling price had been 551 more then the profit made would have been 16%. Find the actual selling price of the Guitar?
Answer: (4) 1653 Solution: Cost price = C 87% of C = selling price 0.87C = S now if the Selling price is 551 more then it becomes 116% of cost price now 0.87C+ 551 = 1.16 C 0.29C = 551 C= 1900 Hence the current selling price is 87% of 1900 = 1653
A man lives on the 14th floor of a building. Every day he takes the elevator to go down to the ground floor to go outside. When he returns he takes the elevator to the 10th floor and walks up the remaining 4 floors to reach his apartment on the tenth floor. But if there is someone else with him in the elevator he goes directly to his floor. Why?
Solution Man has short height to he can only reach to the button number 10 in the elevator. But if there is someone else in the elevator, then he asks the other person to press 14.
There are New recruits in the workforce in a factory everyday and everyday number of new recruits is equal to the number of total workers previous day. One day a task was assigned to the workforce. Each day every member of the workforce including new recruits worked to complete the task. Task was completed in 12 days. When was the 25% of the task was completed.
Answe (3) 10 days Solution Since workforce doubles every day hence work done also gets doubled every day. It means after 11 days 50% of the task was completed and after 10 days 25% of the task was completed.
