1. A is 16th position and 29th from down of the people who passed. 5 failed, 6 didn't give exam. How many boys are there in the class?
Answer:
Explanation:A is 16th position, means = 15 + A
29th from down, means = A + 28
Total passed = A + 15 + 28 = 44
Total failed = 5
Didn't give = 6
Therefore, total boys = 44 + 5 + 6 = 55
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2. If p=n-8 , m=n+10; then in terms of p, m is ?
Answer:
Explanation:p = n-8
That is, n = p+8.Therefore,
m = n+10 = p+8+10 = p+18
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3. Find the number of solutions for 3x+4y=60, if x and y are positive integers.
Answer:
Explanation:3x+4y=60
=>x=(60-4y)/3
as x and y are positive integers, put y=1,2,3,... & find x
y=3,x=16
y=6,x=12
y=9,x=8
y=12,x=4
(x,y)=(4,12),(8,9),(12,6),(16,3)
only 4 solution
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4. Kanak owns a plot worth Rs. 10000, He sells it to Raman at 10% profit Raman sells the plot back to Kanak at a loss of 10%. In the whole transaction, Kanak gets :
Answer:
Explanation:profit of 1100
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5. Find the probability if a two digit number multiplied by 3 but not 5
Answer:
Explanation:Total two digit numbers are 90 i.e. from 10 to 99
numbers multiple of 3 are 12, 15, 18, ......., 99 so 12+(n-1)3=99, n=30
numbers multiple of 3 & 5 both are 15,30,45,60,75,90 total 6
So two digit numbers multiple of 3 but not of 5 are 30-6=24
Probability=24/90=4/15
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6. The difference between the compound and simple interest on a certain sum for 2 years at the rate of 8% per annum is Rs.80. What is the sum?
Answer:
Explanation:Since we know that SI and CI are same for first year. Difference is due to the SI of 1st year is treated as PRINCIPLE of 2nd year in CI.
So 1st we calculate the amount which treated as P in CI
P = 100*SI/R*T = 100*80/8*1 = 1000
This amount is also the SI for 1 year.
So,
SI = 1000
T = 1 Year
R = 8%
P = 100*1000/8*1 = 12500
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7. 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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8. The sides of a triangle are in the ratio 37. If the perimeter is 60 cms, the longest side is?
Answer:
Explanation:Triangle property: sum of any two sides is always greater than the third one.
and Here we have been asked for longest side.
Now we can have longest side as 29 or 28 but not 30
because 31>29 and 32>28 is true but 30>30 is not true
Hence Answer is 28.
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9. 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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10. 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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