11. A man sells 12 candies for rs12 and loses rs 2.40. if he sells 12 candies for rs 16. how much does he gain or loss?
Answer:
Explanation:12 candles for 12 had a loss of rs 2.40
So C.P ia 14.40 for 12 candles
Now 16 for 12
So 16-14.40= 1.60
Had a gain of rs 1.60
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12. The average of 11 numbers is 50. If the average of first 6 numbers is 49 and that of last 6 is 52.Find the 6th number.
Answer:
Explanation:avg = 50 so total sum of 11 numbers = 550
let 6th number is x, so according to the given condition
sum of first 5 numbers = 49*6 - x = 294 - x
sum of last 5 numbers = 52*6 - x = 312 - x
so 6th number x = 550 - (294 - x) - (312 - x) = 2x - 56
so x = 2x - 56 implies x = 56
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13. Out of four numbers ,the average of first three is 16 and that of the last three is 15 .If the last number is 18,the first number is :
Answer:
Explanation:let the nos a,b,c,d
in the 1st condition, a+b+c=48
in the 2nd condition, b+c+d=45
now,d is given value as 18
thus, b+c+18=45
b+c=27
putting the value of b+c in equation, a+b+c=48
a+27=48
a= 21
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14. A make a wall in 9 hour. B makes a wall in 10 hour. When doing together 10 more bricks are required and together make a wall in 5 hour. How many bricks are there in the wall?
Answer:
Explanation:Time taken by A and B together to complete same brick job = 1/(1/9 +1/10) = 90/19 hrs.
Actual time taken = 5 hrs
Extra time taken for 10 bricks job = 5-90/19 = 5/19 hrs
So, 5/19 hrs are required for 10 bricks.
5 hrs are required for 190 bricks.
So, initially 180 bricks were reqd.
Finally 190 bricks are used.
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15. Min (a, b, c)=min of a, b, c. Max (a, b, c,)=max of a, b, c. Then what is the value of
MAX {min(2,5,7), max (-7, -2, -3), 3}?
Answer:
Explanation:MAX {min (2,5,7), max (-7, -2, -3), 3}
= MAX {2,-2,3} = 3
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16. Ravi's salary was reduced by 25%.Percentage increase to be effected to bring the salary to the original level is
Answer:
Explanation:If initial salary is Rs 100.
After 25% reduction, salary will become Rs 75.
To make it again Rs 100, the salary should be increased by Rs 25.
So % increase required = 100*25/75= 100/3 % = 33 1/3 %
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17. Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is :
Answer:
Explanation:Let numbers be a, b, c.
Second is twice the first and three times the third, (so b is the largest).
a = (1/2)b
c = (1/3)b
Now we can express average in terms of b
Average = b[1/2 + 1 + 1/3]/3 = (11/18)b = 44
Largest, b = 18*44/11 = 72
Check: a = 36, b = 72, c = 24, average = 132/3 = 44
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18. If jacob sold a watch costing rs.400 to john at 15% profit and john sold the same to sudhir at 15% profit, what is the price paid by sudhir?
Answer:
Explanation:C.P. of John=1.15*400=460
S.P. of John=1.15*460=529
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19. Conversation between two mathematicians:
First: I have three children. The product of their ages is 36. If you sum their ages, it is exactly same as my neighbor's door number on my left. The second mathematician verifies the door number and says that it is not sufficient. Then the first says "Ok one more clue is that my youngest is really the youngest". Immediately the second mathematician answers. Can you answer the question asked by the first mathematician? What are the children ages?
Answer:
Explanation:Possible options for same sum of ages ( 13 here)with product of ages as 36 are 2,2,9 and 6,6,1
But in case of 2,2,9
youngest is not really youngest as two children of age 2 years are twins.
Whereas, in case of 6,6,1
youngest is really youngest.
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20. The product of two consecutive odd no is -1, then what is the value of the sum of them?
Answer:
Explanation:Assume First ODD number is x
Consecutive Odd Numer would be x+2
The product of two consecutive odd no is -1 means x(x+2) = -1
i.e. x^2+2x=-1
x^2+2x+1 = 0
(x+1)^2=0
Hence x = -1 --- (1)
the Other number would be, -1+2 = 1 --- (2)
Sum of these two numbers is -1+1 = 0
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