121. An aircraft is flying at a height of 3000m from the ground at an average speed of 400 km/hr while descending. It has to travel 5 kms before it can touch down the runway and start operating its break system. It will take less than 10 seconds to reach the touch down point. How far it is from the touch down point if it had been on they ground.
Answer:
Explanation:Can be Solved using simple Pythagoras Theorem.
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122. A boy standing idle sounds a whistle to his friend at a distance of 1200 m moving away from him in a speeding car at 108 kms /hr. Find the duration after which his friend is going to hear him. (Speed of sound = 330m/sec).
Answer:
Explanation:If friend hears sound after t secs, then
330*t = 1200 +(108*5/18)*t
300t =1200
t= 4 secs
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123. What is the minimum number of numbers needed to form every number from 1 to 7000
Answer:
Explanation:ones place can be formed by 0-9 -10 digits
tens place can be formed by 0-9 -10 digits
hundred place can be formed by 0-9 -10 digits
thousand place can be formed by 1-6 -6 digits
total-36
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124. 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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125. 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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126. 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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127. 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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128. 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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129. 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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130. 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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