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What is the sum of all the possible values of a natural number x that satisfy
(x^2 - 2x)^ (x^2+47)=(x^2 - 2x)^(16x-16)
is there any shortcut method to find the prime factors of a large number like:1000027
How many distinct integral values of 'a' satisfy the equation 2^2a -3*(2^2+a) +2^5 = 0 ?
a.0
b.1
c.3
d.data insufficient
e.none of these
Find the minimum possible value of 'y' if 9/17 , where x and y are natural numbers
A pipe is turned on to fill water into a cistern at the rate of 4 litres per minute. the cistern has a leak which would empty it in 6 hours and the cistern is now emptied in 10 hours. Determine the capacity of the cistern?
8 lines are drawn in a plane such that 2 lines are parallel and no 3 lines are concurrent. The no of parts into which there lines divide the plane is
a.73 b.37 c.17 d.72.
Pls post with explanation .
I have written a Blog on solving different types of questions with the equation:
a+b+c+d+e+f+.....= n
Introduction to the equation The equation a b c d .....= n i.e. summation of different variables is n. This equation has a number solution with different values of a,b,c,d and so on but their summation will be r. This equation works for identical objects among different variables/person/boxes....
A truck overtakes a car travelling in the same direction at 2:00 pm , it moves with a constant speed and crosses a scooter and a motorcycle , coming in the opposite directions at 4:00 pm and 6:00 pm respectively. If the motorcycle crosses car at 7:00 pm then at what time do the car and the scooter meet ?
Eight years ago, Yellow was half as old as Green will be when Green is one year older than Blue will be at the time when Yellow will be five times as old as Blue will be 2 years from now. Ten years from now Blue will be twice as old as Green was when Yellow was nine times as old as Blue.
When Blue was one year old, Yellow was three years older than Blue will be when Green is three times as old as Yellow was six years before the time when Green was half as old as Blue will be when Yellow will be ten years older than Yellow was when Green was 1/3 rd as old as Blue will be when Yellow will be three times as old as she was when Green was born.
Question:
How old are Green, Blue and Yellow ?
a.(8,3,15)
b.(4,6,2)
c.(16,15,45)
d.(16,24,8)
How many natural numbers are there with 24 factors where 2,3 and 5 are the only prime factors?
36
27
12
9
while adding ten two digit numbers the digits of one of the numbers were interchanged. As a result the sum of all the ten numbers increased by a value which was four less than that number. three times the sum of the digits of that original number is ten less than the number .what is the product of digits of that number
- 18
- 42
- 36
- 56
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find the minimum value of: a+1/2a+b+1/2b where a,b>0
Can anybody tell me a good source for preparing graph (curves) type questions in algebra and coordinate geometry.....
3. Find the total number of ways in which 5 distinct chocolates can be given to 3 kids.
4. Find the total number of ways in which 5 identical chocolates can be given to 2 kids.
8. Find the total number of ways in which 6 distinct rings can be put in 4 empty bags of different color.
9. Find the total number of ways in which 6 distinct rings can be put in 4 fingers.
Find the number of positive integral solutions for a + b + c
5. Find the number of positive integral solutions for a + b + c = 100, such that a, b, c > 2
6. Find the number of positive integral solutions for a + b + c = 100, such that a > 1, b > 2, c > 3
7. Find the number of positive integral solutions for a + b + c = 20, such that a, b, c
8. Find the number of positive integral solutions for a + b + c = 20, such that a
In a study XYZ on the effect of sleep on call centre workers, following were the observations made on a certain number of volunteers in the study. 75% of the volunteers receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the volunteers who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the volunteers receive fewer than 6 hours of sleep, what percent of the volunteers report no feelings of tiredness during their shifts?
PQRS is a rhombus. Its midpoints are joined to give a quadrilateral MNOP. The midpoints of this quadrilateral are joined to give another inner quadrilateral ABCD. This process is continued for every rhombus. What is the sum of perimeters of all the quadrilaterals formed if the sum of all the areas is 64_/3 ?
plz explain d solution ?
A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 20% impurities to the product. Find the net profit percentage of the dealer?
1) 44% 2) 40% 3) 50% 4) 56.25% 5) 36%
Deep and Ana decided to work togethr & complete the construction of a road.However, as Deep went out of town, Ana startd work alone and finished 1/4 th of the road and took 'x' days more than what they would have taken if they worked together. After this, Ana fell ill and Deep workin alone, completed the construction of 1/3 of the remaining road and took 25/16 x days more than what they would hav taken if they had worked together.Finally both of them worked together and completed the remaining road the whole process takin a total of 121 days.In how many days can deep alone complete the construction of entire road?
1. 180 days
2. 194 days
3. 160 days