The highest power of 5 that can divide 100! is 24. This can also be written as 100! = (5^24)*n, where n cannot be divided by 5.The highest power of how many other natural numbers that can divide 100! = (x^24)*n such that n cannot divided by x valid?a. 0 b. 15 c. 22 d. None of these (how many) €‹
ABCDEF is a regular hexagon of side a. P is a point inside the hexagon. If PG, PH, PI, PJ, PK, PL are drawn perpendicular to the sides AB, BC, CD, DE, EF, FA, respectively, then the value of PG + PH + PI + PJ + PK + PL is equal to ??
can we consider p as centre ?? as p can be any point inside........
If g(x)= p|x|-qx^2, where p and q are constants at x=0,g(x) will be
a.maximum when p>0,q>0
b.minimum when pc.minimum when p>0,qd.maximum when p>0,q
There are 6 equally spaced points A, B, C, D, E and F marked on a circle whose radius is R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices?
ans : 1 . approach plz......
x^6/9 remainder is 1, where 100
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Three dice are thrown. Find probability of getting a sum of 10.
please provide a shortcut for this .......not the conventional method...
11( upto 5 digits) is written in base n .. For how many values of n is this number a perfect square ?
a)2 b)0 c)1 d)more than 2
In a triangle, the longest side has length 20 units and another of its sides has length 10 units. Its area is 80 square units. What is the exact length of its third side?
Two non-intersecting circles with radii 'r' units and '2r' units have their centres at a distance of 2√3r units. Find the length of the direct common tangent to the circles
X is picked up from school by his father daily to go to home in a car. One day school leaves one hour before time, so X starts walking towards his house at a speed of 3kmph. As a result, they reach home 15 minutes before time. Find the speed of his father's car.
A) 45kmph
B) 30kmph
C) 21kmph
D) 27kmph
E) none of these
Any active thread on PG only for Geometry and Mensuration questions?
Two trains start simultaneously form P & Q towards Q & P respectively at 8am. They cross each other at 12noon. Train starting from Q, thereafter takes 6hrs to reach P. On a particular day, the train starting from P, reduced its speed and arrived at Q, 200min late. At what time did the trains cross each other on that day?
a)1pm
b)1:30 pm
c)2pm
d)none
There are 7 couples in a dance party.how many dance pairs can be there such that exactly 2 pairs are the original couples
explain the approach also
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Consider a string of n 7s, 7777....77, into which + signs are inserted to produce an arithmetic expression. For example, 7 + 777 + 7 = 791 could be obtained from five 7s in this way. For how many values of n is it possible to insert + signs so that the resulting expression has value 7000?
(1) 105 (2) 106 (3) 108 (4) 109 (5) 111
How many different sums can be formed with the following coins:
5 rupee, 1 rupee, 50 paisa, 25 paisa, 10 paisa, 3 paisa, 2 paisa and 1 paisa??
If AB = AC = CD and AD = BD, what is the measure of angle ADC in degrees?
1. 24
2. 28
3. 32
4. 36
5. 45
image.
Remainder when 723^243 + 318^243 is divided by 17 ?
Ans : 9
A two-digit number having distinct digits when divided by the sum of the digits gives the same remainder as when a two-digit number that is formed by reversing the digits of original number is divided by the sum of the digits.
Out of all such possible two-digit numbers, a number is randomly picked. What is the probability that this number is divisible by 4?
3/8 (ans) 5/12 2/7 7/12