From a rectangle of sides 20cm and 25cm, square were cut out at each of its corners to make a box of volume 462cu the portion cubic cm. find the area of the squares cut out
Q. If 'x' is the average of 1st 'n' prime numbers, where n > 1000, then which of the following must be true:
a) x is not a natural number.
b) x is not a prime number.
c) x is an odd number.
d) x is an even number.e) None of the above.
n! has 23 zeroes. What is the maximum possible value of n ?
The volumes of two vessels, which are filled up to the brim by milk of different prices, are 220 L and 180 L. An equal amount of milk is taken out from each of the two vessels, and the milk taken out from the first vessel is poured into the second vessel while the milk taken out from the second vessel is poured into the first vessel. If the price per liter of milk in both the vessels becomes the same eventually, find the volume of milk taken out from each of the two vessels.
Find the last three digits of 123999*2374111*3456992?
will it be same as -1*11*-8 =088?
Find the unit digit of 1^5+ 2^5+ 3^5+ 4^5+....+122^5+ 123^5
How many numbers exist such that sum of factors of the numbers is 72?
How do we go about it?
Q 2. How many natural numbers below 100 can be written down as
x^2 - y^2 in only one way, where x and y are natural numbers?
Ram borrows Rs.30k at the ROI of 10% comp. annually. He wants to repay this in 3 yrs as a set of 2 equal installments in first 2 yrs and Rs 15000 in the 3rd year.How much should he repay in yr 1 ?
- Kindly explain in a simplest manner
- Approx. Rs 11,600
- Approx. Rs 12,100
- Approx. Rs 10800
- Approx. Rs 9900
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89^720 mod 1001
A sequence of positive integers includes the number 99 and has arithmetic mean 67. When 99 is removed the arithmetic mean of the remaining numbers is 65. What can be the difference between the largest and smallest number that occur in the sequence?
(a) 1024 (b) 1042 (c) 1204 (d) 1240
How many real roots are there for the equation (x - 3) (x - 5) (x - 7) + k2 (x - 4) (x - 6) (x - 8) = 0?
http://imgur.com/mn3fqDm
http://imgur.com/dywR03M
how many zeros will be there at the end of the number N= 100!+200!?
a. 73
b.49
c.20
d.48
e.24
Pls explain
The average of three consecutive prime numbers is 223/3. What is the difference between the greatest and the smallest number that can be a part of such a set
a. 8
b. 14
c. 16
d. 10
Pls explain
What is the value of ((1+1/3)^4 + (1+1/3)^-4 +1) / ((
1+1/3)^2 + (1+1/3)^-2 +1)) ??
a. 193/144
b. 293/144
c. 191/144
d. 291/144
Pls Explain