An examination contains 3 sections, each having 6 questions. In how many ways can a student attempt 12 questions, such that in each section he has to attempt atleast 3 questions and at most 5 questions?
5,400
3,375
8,775
14,175
6,175
In how many ways can 6 girls and 6 boys sit in a circular table such that all the girls should not sit together?
11! + 6! × 6!
11! + 6 × 6!
11! – 6! × 6!
11! + 7 × 5!
11! – 6! × 5!
There are 100 coins numbered from 1 to 100. In how many ways can two coins be drawn, such that the sum of the numbers on the two coins should be greater than 100?
2,000
10,000
2,500
2,550
5,000
India and England are playing a one day cricket tournament, which contains 5 matches. There are 2 points for a win, 1 point for a draw and 0 point for loss. The team which scores more points wins the tournament.
If any number of matches can be drawn, in how many ways can India win the tournament?
100
96
64
36
32
Swati forgot her friend's ten-digit mobile number. But she remembers the first two digits and she knows that there is no odd digit in the number and the last four digits are in arithmetic progression respectively. What is the maximum number of calls she should make?
1,249
1,230
1,149
1,200
1,260
f(x) = |x-1|+|x-2|+|x-3|....|x-100|..for how many integral values values of x, f(x) will take its minimum value ? And find out the values....Approach ..No OA available. 😞 @scrabbler help...
Find the sum of integers c for all triples of integers (a,b,c),a≤b≤c, that satisfy the system of equations
⎧⎩⎨a^2−bc=91 ,b^2 − ac = 91 , c^2 − ab =91
Details and assumptions
If a number c appears in several different triples (a,b,c), it must be counted with multiplicity.
@How many positive integers less than 10^20 (10 to the power 20 )
have all their digits the same?
What is the digital sum of 143! ?
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Let ABC be a triangle with AB = 13, BC = 14, and CA = 15. Let D be the foot of the altitude from A to BC. The inscribed circles of triangles ABD and ACD are tangent to AD at P and Q, respectively, and are tangent to BC at X and Y , respectively. Let PX and QY meet at Z. Determine the area of triangle XY Z.
Write 1000 such Positive Integers. whose SUM and PRODUCT both are EQUAL
How many positive integers N≤1000 are there, such that 3^N−N^3 is a multiple of 5?
Dont have OA
What is the largest prime factor of 5^8 + 2^2 ?
5 identical dice are thrown. Find the total number of different outcomes possible.
In how many ways can letters of the word "expensive" be arranged so that all vowels come together?
A man arrives at a railway station 1 1/2 hours before the time at which he had ordered his carriage to meet him. he walks at the rate of 4 km h and meets the carriage 8 km from his house and reaches 1 hour earlier than usual. what is the speed of the carriage and distance of his house from the station
- 4 kmph, 12 km
- 12 kmph, 16 km
- 8 kmph, 12 km
0 voters
Mahesh and Umesh purchase a radio each for the same price and both mark up their respective radios by the same amount. Mahesh gives a discount of Rs.20 followed by another discount of 20% on the reduced price, while Umesh gives a discount of 20% followed a discount of Rs.20. If Mahesh's profit percent is equal to thrice Umesh's loss percent, what is the profit (in Rs.) of Mahesh on his radio?
@chillfactor sir