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If x = 9 – 4√5, find the value of √x +1/ (√x)
199 - 512 is divisible by which of the following numbers
99 – 512 = 199 - 29 = 19 – 2 = 17, it must be divisible by 17
1993+199.3+19.93+1.993=?
1993 + 199.3 + 19.93 + 1.993 = 2214.223
If Q = 8.33, then find the value of {Q %+( Q+25) %+( Q+75) %} of 144?
Q = 8.33% = 1/12
8.33+25 = 33.33% = 1/3
8.33+75 = 83.33% = 5/6
(1/12+1/3+5/6)×144 = 180
Find the greatest two digit number that when divided by 12, 18 and 36 leaves remainder 10, 16 and 34.
Finding LCM of 12,18and 36 = 36
Now the number be x, then
x = 36 × (n – 2)
For the number to be greatest two digits, we can put n to be only 2
x = 72 – 2 = 70
Find HCF of a2 b3 c4, a3 b2 c2, a4bc.
HCF is highest common factor that is we have to find the factor which is common to all and is of highest degree also. Hence a2bc satisfy all the conditions.
Find average of the all the prime numbers between 0 and 21?
Prime number 0 to 21 is 2, 3, 5, 7, 11, 13, 17, and 19
Average = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19) ÷ 8 = 9.625
Binod covers his entire journey by three different means, he covered 30% of his journey with a bike with a speed of 30 km/hr, 25% of his journey with a scooty with a speed of 25km/hr and then he travelled his rest part of journey with a metro with a speed of 180 km/hr. Find the average speed during his entire journey?
30% = 3/10 of journey
25% = ¼ journey
45% = 9/20 journey
Average speed = Total distance/ Total time
=1/ (3/ (10×30) +1/ (4×25) +9/ (20×180)) = 400/9 km/hr.
Ram takes a measurement as 30.075 instead of 30.Then find the percentage of error by Ram?
% error = 0.075/30×100 = 0.25%
Calculate the 3rd proportional to 6, 18.
6/18 = 18/x
x = (18×18)/6 =54
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