A railway track runs parallel to a road until a bend brings the road to a level crossing. A cyclist rides to work along the road every day at a constant speed of 12 miles per hour. He normally meets a train that travels in the same direction at the crossing. One day he was late by 25 minutes and met the train 6 miles before the level crossing. Can you figure out the speed of the train?
72 miles per hour
12 miles per hour
86 miles per hour
64 miles per hour
None of these
guys plzz iska diagram bana ke samjha do samajh nahi aa raha ye---
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
A person 'A' is standing in the middle of a platform of length 300 m. Two trains 'B' and 'C' of length 120 m and 250 m running with a speeds of 54 kmph and 72 kmph respectively, enter the platform from opposite ends at the same time (on parallel tracks). How much of the length of train 'C' does the person see while it passes him, if train 'B' comes in between him and train 'C' to block his view?
P(x) is a polynomial in x of degree 7. Given P(1)=1,P(2)=2,P(3)=3,P(4)=4,P(5)=5,P(6)=6,P(7)=7,P(8)=10, P(9)=???
How to solve such kind of questions?
hi, pls clarify my doubt,
question:
A pyramid has a slant height of 8 cm and a square base of side 4 cm. Find its lateral surface area(in sq. cm).
Solution:
if I go by the formula, LSA of a pyramid=(1/2)*(perimeter of the base)*(slant height)=(1/2)*16*8=64, which is the correct answer.
But i went by calculating the area of the four triangles of the pyramid which has square base.
my approach:
each lateral side of the pyramid will be a triangle with sides 8 cm, 8 cm and 4 cm.
I calculated area of one triangle which is squareroot(240). LSA of a pyramid = 4*(area of one triangle)=4*squareroot(240), which is not the correct answer
Pls explain what is wrong in my approach
Which of the following is true ?
(a) When any number with even number of digits is added to its reverse, the sum is always divisible by 11.
(b) when any number with odd number of digits is subtracted from its reverse , the absolute difference is always divisible by 11.
(c) 136999005 is divisible by 13.
(d) 85437958 is divisible by 7.
-@A
Find the remainder when
10^10 +10^100 +10^1000 +........10^10000000000 is divided by 7.
-@A
Please answer my q:Without stoppage a train travels at an avg speed of 75Km/h and with stoppage it covers the same dist with an avg speed of 60 Km/h.How many minutes per hour does the train stop.
1) A: 10 min
2) B: 12 min
3) C: 14 min
4) D: 18 min Skip
please do explain you soolution×
Can someone provide me a link to the online material from where i can prepare , if someone has already posted it , please oblige, thanks in advance 😃
A question paper consists of 4 sections with 6 questions in each section. A candidate has to select 3 sections and has to solve 10 questions choosing atleast two from each of the selected sections. In how many ways can he attempt the paper?
- 6682500
- 158400
- 136800
0 voters
Four runners A,B,C and D are running in a circle, 1215 meter in circumference, at 15mpm, 12mpm, 10mpm and 6mpm respectively. If they start at the same time from the same point in the same direction, when will they be together again?
- 10 hr 30 min
- 12 hr 35 min
- 20 hr 15 min
- 16 hr 45 min
0 voters
Using the digits 0,1,2,4, find the sum of all the four-digit numbers that can be formed. Repetition is not allowed. Please help with this question.
Euler's Theorem:
-----------------------
Euler's Theorem states that the number of numbers which are less than and co-prime to a number N=(a^p)*(b^q)*(c^r) is E= N(1-1/a)(1-1/b)(1-1/c).
So, for example, the number of numbers less than and co-prime to 100(2^2*5^2) will be,
E = 100(1-1/2) ( 1- 1/5) = 40
*E is also known as Euler's Totient Function (What's in the name :))
** Two numbers A and B are said to be co-prime if HCF of A and B is 1.
But how Euler sahib can help us in finding remainders?? Valid question. For this, Eulerji preached, “When 'x' and 'y' are co-prime to each other then x ^E divided by 'y' will always leave remainder 1”. Happy?
Let us see how Euler's theorem can be applied to find remainders.
Q1> What is the remainder when 15^32 is divided by 17?
Since 15 and 17 are both co-prime to each other Euler theorem can be applied.
Now Euler's Totient Function E for 17 = 17*(1-1/17) = 17*(16/17) =>16.
So, 15^16/17 would leave a remainder of 1.
Now, 15^32 can be written as 15^(16*2) => multiple of 16.
Thus the remainder will be 1.
Similarly,
Q 2) Find the remainder when 41^97 is divided by 12.
Step1: Check if 41 and 12 are both co-prime. Yes, they are.
Step2: Euler's Totient Function E for 12= 12(1-1/2)(1-1/3) = 12*1/2*2/3 => 4
Step3: 41^97 => 41^(4*24) *41
=> (41^4k *41) /12
=> 1*41 /12
=> 5
Thus, the remainder is 5.
-----------------------
Euler's Theorem states that the number of numbers which are less than and co-prime to a number N=(a^p)*(b^q)*(c^r) is E= N(1-1/a)(1-1/b)(1-1/c).
So, for example, the number of numbers less than and co-prime to 100(2^2*5^2) will be,
E = 100(1-1/2) ( 1- 1/5) = 40
*E is also known as Euler's Totient Function (What's in the name :))
** Two numbers A and B are said to be co-prime if HCF of A and B is 1.
But how Euler sahib can help us in finding remainders?? Valid question. For this, Eulerji preached, “When 'x' and 'y' are co-prime to each other then x ^E divided by 'y' will always leave remainder 1”. Happy?
Let us see how Euler's theorem can be applied to find remainders.
Q1> What is the remainder when 15^32 is divided by 17?
Since 15 and 17 are both co-prime to each other Euler theorem can be applied.
Now Euler's Totient Function E for 17 = 17*(1-1/17) = 17*(16/17) =>16.
So, 15^16/17 would leave a remainder of 1.
Now, 15^32 can be written as 15^(16*2) => multiple of 16.
Thus the remainder will be 1.
Similarly,
Q 2) Find the remainder when 41^97 is divided by 12.
Step1: Check if 41 and 12 are both co-prime. Yes, they are.
Step2: Euler's Totient Function E for 12= 12(1-1/2)(1-1/3) = 12*1/2*2/3 => 4
Step3: 41^97 => 41^(4*24) *41
=> (41^4k *41) /12
=> 1*41 /12
=> 5
Thus, the remainder is 5.
please provide the shortest method to solve this question---
|x-1|
For how many positive integers n among first 100, is n⁶ - n³ + 5 is divisible by 7?
A. 0
B. 16
C. 42
D. 44
A survey was conducted on the favourite cricketer of a group of 1000 people .Results show that 92% of the people surveyed like Sachin Tendulkar, 91% like Ricky Ponting, 82% like M S Dhoni, 78% like Michael Hussey, 79% like Brett Lee and 80% like Yuvraaj Singh. What must be the minimum no. of people who like all the 6 players, if 7 people do not like any of these 6 players?
puys which is the best book 4 qa..arun sharmas or arihants..im a repeater 4 cat n is probably good at the basics..plzz help me
Puys!!
I am a repeater and I have just revised my quant prep/formulas and all..
Now should I do the test papers or the individual section questions now?
Find the annual installment that will discharge a debt of Rs. 17200 due in 4 Years at 5% per annum simple interest.
- 4500
- 3500
- 4000
- 3000
0 voters