how many non-congruent quadrilateral can be formed on a chess board?
In a survey, it was found that the number of people who play hockey in a neighborhood is 30, the number of people who play cricket is 40 and the number of people who play football is 52. If the total number of people in the neighborhood is 100 and each of them plays at least one sport, what is the maximum number of people who play exactly one sport?
If all the medians are given, whats the direct formula for calculation of area of triangle?
Find the sum of all the factors of 2^6 x 3^5 x 5^4 which are divisible by 10 but not by 90.
If a^7! + b^8! + c^9! + d^10! = x, where a, b, c and d are natural numbers that are not multiples of 10, then how many distinct values of unit's digit of x are possible?...Approach Pls
Sonal and Deepali started swimming towards each other simultaneously from points A and B respectively situated at two ends of a 96 km long stretch of a river. Destinations of Deepali and Sonal were points A and B respectively. Both of them could swim at 12 kmph in still water. When they started, it was high tide and Sonal swam against the stream. As soon as they met, the tide changed to 'low tide' and then Deepali faced the resistance of the stream. Deepali and Sonal took 7 hr 12 min and 8 hr 48 min to reach their destinations respectively. [Speed of the stream during high and low tide need not necessarily be the same.] " low tide speed ..? Options 1 :- 1 2:- 2 3 :- 3 4 cannot be determined
What is the angle between the lines represented by (x + y)2 - 2k(x + y) - 15k2 = 0?
Approach guys? 0, 90, 30 , 45
Rishabh bought a bike of Rs50000 with a down payment of Rs 10000 and the remaining in equal installments for a period of 3 years, each payable at the end of the year. Interest rate is 10% and the compounding is done annually. find the value of the installment.
Can anybody tell me which previous year CAT papers should be solved first? Also, how far back should one go? Solving a paper from 1990 makes little sense seeing how the pattern and the quality of paper would be very different. Any and all suggestions welcome guys!
A right circular cylinder has a radius of 6 and a height of 24. A rectangular solid with a square base and a height of 20, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. If water is then poured into the cylinder such that it reaches the rim, the volume of water is:
A. 288(π - 5) B. 288(2π - 3) C. 288 (3π - 5) D. None of the above
N = a^4 + 4^a, where 'a' is a natural number. For how many values of 'a' is N a prime number?
a One b Two c Three d Infinitely many
How to be sure there is only one value ?
Clarification needed on conversion from base X to decimal .
I came across a question in which 8^25 in base 8 when converted to decimal became 10^25 .
In another question , 2^100 in base 7 when converted to decimal system became 2^49 .
My confusion is why we did not convert 25 (exponent) in the first case to decimal system but did that in the second case . The exact question is :
Q1.Which of the following statements is true about the number (8^25 - 62), which is in the decimal system, when converted in to the octal (base 8) system?
a There are 26 digits in the number.
b There are 24 sevens and one 2 in the number.
c There are 24 sevens, one 0 and one 2 in the number.
d There are 23 sevens, one 0 and one 2 in the number.
(Ans : d )
Q2. If (2^100) in base 7 = (X) in base 10 , what is the value of X ?
(Ans : 2^49)
Do we have to send the work experience docs when sending the acknowledgement for to FMS?
NEW THREAD FOR MECHANICAL GATE-16 ASPIRANTS::
Aspirants preparing for Mechanical GATE-2016, CSIR-UGC/NET-2016, CEED-2016, ESE-2016, SSC JE-2015 and PSU exams can discuss in this thread here regarding the questions on theory or problems and can share/discuss the information and doubts related to the subject and the upcoming technical examinations.
.All the Best !!!
Q.91
Fathers of seven different students namely A, B, C, D, E, F and G, with no two of them being sibling, arrived at a school randomly for a parent-teacher meeting. If no two fathers arrived at the same time, what is the probability that the father of A arrived after the father of D, who did not arrive after the father of C?
1/4, 1/3,1/2,1/5 ?
In how many ways you can climb up 8 steps if minimum and maximum number of steps you can take at a time is 1 and 6 ?
In how many ways can the number N = 2 x 3 x 5 x 7 x 11 x 13, be written as a product of three factors such that the factors are composite and are pair-wise co-prime to each other?