For how many ordered integer pairs (X,Y) does the equation |X| + |Y| + |X*Y| = 19 hold true?
12
16
24
20
A dartboard is divided into 4 concentric circles whose radii are 1 cm, 2 cm, 3 cm and 4 cm respectively. The prize amount for hitting the circles is Rs 20, 15, 10, 5 respectively. The amount is highest for the innermost circle and lowest for outermost circle. How much should the organizer of the game charge per ticket so that he ends up with no profit no loss situation? (Assume that a large number of participants are participating in the game and 80 percent of the participants are expected to hit the target)
8.625
9.375
7.5
10.625
Soln
570 people were surveyed to find out the brand of the bike they own among Activa, Pleasure and SR150. Further, it is known that no person owned more than one bike of the same kind. 50% of the people who owned bikes owned 3 bikes. One-fifth of the people who owned bikes owned 2 bikes. If it is known that the number of people who did not own bikes was at least a third of the people surveyed and at most half of the people surveyed, then what is the difference between the maximum and the minimum number of people who could own only one bike?
28
32
30
27
A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A win by 275m. When B and C the same distance, B wins by 30 sec. The time taken by A to run a kilometer is
2 min 25 sec
2 min 50 sec
2 min 20 sec
3 min 30 sec
A natural number N which is not a perfect cube, has exactly four factors. The sum of the positive factors of N that are less than N is 2014. Find the value of N.
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Let x,y,z be distinct positive integers such that x+y+z=11. Find the maximum value of (xyz+xy+yz+zx)?
A safe has four combination locks L1, L2, L3, L4. In order to open it one must enter exactly four keys, each key is a four digit number. Now, while K1 can be entered first, K2 can be entered only after L1 is unlocked, K3 only after L2 and so on. If each time one enters a key (correct or incorrect) is called a trial, what is the maximum number of trials that may be required to open the safe?
- 8
- 10
- 12
- 4
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Q46 & q48 please
Two boats A and B are stationed at two points Q and R on a flowing river. The direction of flow of river is from Q to R. When the boats A and B moved towards each other they met at P, Which is at a distance of 20 m from the point R. When A moves towards B and B moves away from A they met at S which is at a distance of 40 m from the point R. Boat B’s speed in still water is 5 times the speed at which river is flowing. Find the ratio of the speed of boat A to boat B
A train starts from a Jaipur towards Delhi at 10 am. Another train starts from Delhi towards Jaipur at 11 am. Both reach their destinations at same time. At 1 pm, the sum of distances that had been travelled by them together is 90% of distance between Delhi and Jaipur. At what time did they reach their destinations?
A dog is sitting inside a 11 km tunnel(AB) at a distance of 5km from end A. He hears the sound of a train at a distance (outside the tunnel end A) and starts running. He runs in such a way that whichever direction he runs, he just manages to escape the train.
Find the ratio of the speed of the train to the dog?
which of the following is not a possible value of (x^2+4x+5)/(x+2) for real x?
a. -3
b. -2
c. -1
d. 2
Brahma, Vishnu, Mahesh are three friends with different productivity. Bramha working together alone needs as much time as Vishnu and Mahesh working together, while Vishnu himself needs 8 hours more working alone than when he works with Mahesh. Brahma working alone needs 8 hours less than Vishnu needs working alone. In how much time Brahma, Vishnu and Mahesh working together can complete the job ?
If 5^4x-1>25, 2y-3<3 and 31^z>961, then how many non negative integral sol exist for x+y+z=7?? Help me with the Trick to solve this question answer is 9