Let x be the number of base systems in which the largest 3 digit perfect square in base 6 can be represented as a 2 digit number. Then x in base 7 is a(1) odd but not prime (2) prime (3) even and perfect square (4) even but not perfect square (5) none of these
6_7_8 = 4256195,
7_8_9 = 5672255
,8_9_10 = 7290323,
9_10_11 = ?
help, explain
Three natural numbers a, b and c are such that a2 + b2 = c2. If a = 20, how many ordered pairs (b, c) are possible?
1
2
3
4
Q. Can anybody explain what are ordered pair ?
Q. How to solve questions related ?
Any Link / document !??
Two friends Amit and akshay began moving simultaneously from point A along a straight line in the same direction : Amit started moving at he speed of 5 m/s and moved with an uniform acceleration of 4 m/s^2, while his friend Akshay moved at a uniform speed. The limits for Akshay speed (S) so that he should first leave amit behind and then get overtaken by Amit at a distance of 18m from A area.
5
b. 3
c. 4
d. NONE OF THESE......
On the banks of the river Ganges there are two bathing points in Varanasi and Patna. A diya left in the river at varanasi reaches Patna in 24 hrs. However a motorboat covers the whole way to and fro in exactly 10hours. If the speed of the boat in still water is increased by 40%, then it takes the motorboat 7 hours to cover the same way(varanasi to patna and back again). Find the time necessary for the boat to sail from varanasi to patna when its speed in still water is not increased???
a. 3 hrs
b. 4 hrs
c. 4.8 hrs
d. none
Ques >
Shyam, a fertilizer salesman, sells directly to farmers. He visits two villages A and B. Shyam starts from A, and travels 50 metres to the East, then 50 metres North-East at exactly 45째 to his earlier direction, and then another 50 metres East to reach village B. If the shortest distance between villages A and B is in the form of a sqrt( b + sqr(c))metres, find the value of a + b + c.
A. 52
B. 54
C. 58
D. 59
E. None of the above
If all the four-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, 6, 7 and 8 without repetition are arranged in ascending order, what will be the rank of the number 5283?
897
898
908
None Of These
Q. How is arranging/ Ranking numbers different from arranging alphabets ?
@Shubh.i @sagarcat
Ques > Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?
A. > 8.00 feet and ≤ 8.20 feet
B. > 8.21 feet and ≤ 8.40 feet
C. > 8.41 feet and ≤ 8.60 feet.
D. > 8.61 feet and ≤ 8.80 feet
E. > 8.81 feet and ≤ 9.00 feet
Approach is welcome 😃 😁
log2a × log2bc + log2b × log2c = 9, where 'a', 'b' and 'c' are positive real numbers. If a × b × c = 4096, then what is the value of (log2a)2 + (log2b)2 + (log2c)2 ?
Let A1 be a square whose side is "a" metres. Circle C1 circumscribes the square A such that all its vertices are on C1. Another square A2 circumscribes C1. Circle C2 circumscribes A2, and A3circumscribes C2, and so on. If DN is the area between the square AN and the circle CN, where N is a natural number, then the ratio of the sum of all DN to D1 is:
A. 1
B. π/2 -1
C. Infinity
D. None of the above
a single hand wind screen wiper of a car is of length 25 cm and it rotates through an angle of 'x' units which can be adjusted.
if the desired wiping area is419.071 square cm ,
then the angle 'x' is
1)-45
2)60
3)90
4)120
please help me solve this
a passenger in train p traveling @ 1km/min uses his top watch & finds that another train q travliing in opp direction completely passes his window in 3 secs if length of train q is 87.5m find its speed in km/hr
a) 36 b) 54 c) 48 d) 45 e) 50
two trains are traveling in opp direction at uniform speeds of 50 km/hr & 60 km/hr respectively they take 6 secs to cross each other. if two trains had travelled in same direction then a passenger sitting in faster train woud have overtaken slower train in 27 sec. the length of faster train is more than slower by
a) 108.33m b) 75m c) 150m d) 183.33m e ) 33.33m
A palindrome is a non negative integer number that reads the same forwards and backwards when written in base 10 with no leading zeros. A 6-digit palindrome is chosen uniformly at random. What is the probability that n/11 is also a palindrome?
The answer is 11/30, can somebody please explain this😠
If x=2+rt(3), then the value of (x^6+x^-6)/(x^4+x^-4)
- 1351/97
- 26/7
- 16
- 14
0 voters
If x^2-4=rt(4-x), which of the following could be the value of x?
- rt(13)+1 /2
- 4
- rt(13)
- rt(13)-1 /2
0 voters
If x=2+2^2/3+2^1/3, then the value of x^3-6x^2+6x is:
- 1
- 3
- 2
- none of these
0 voters
The term independent of x in the expansion of (x^2 - 1/x )^12
- 12c4
- 12c6
- 12c5
- 12c3
0 voters
The term independent of x in the expansion of (x^2 - 1/x)^12 is:
- 12c4
- 12c5
- 12c6
- 12c3
0 voters
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.
At what time do Ram and Shyam first meet each other? explain
If (-7,5) , (-3,-4) and (1,k) form a isosceles triangle .. find the value of k??