The sum of the digits of a positive integer less than 1000 is 14. How many such integers are there? a)60 b)105 c)75 d)91
??i m getting 105 answer using upper limit method of counting integral solution
Solve X+Y = 100 where x and y are positive integers and co prime to eachother.
Approach please
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1. In Bilaspur village, 12 men and 18 boys completed construction of a primary health center in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health center in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?
A. 45 boys B. 48 boys C. 40 boys D. 42 boys
2. While preparing for a management entrance examination, Romit attempted to solve three papers namely Mathematics, Verbal English and Logical Analysis, each of which have the full marks of 100. It is observed that one-third of the marks obtained by Romit in Logical Analysis is greater than half of his marks obtained in Verbal English by 5. He has obtained a total of 210 marks in the examination and 70 marks in Mathematics. What is the difference between the marks obtained by him in Mathematics and Verbal English?
A. 40 B. 10 C. 20 D. 30
3. 2 years ago, one-fifth of Amita's age was equal to one-fourth of the age of Sumita, and the average of their age was 27 years. If the age of Paramita is also considered, the average age of three of them declines to 24. What will be the average age of Sumita and Paramita 3 years from now?
A. 25 years B. 26 years C. 27 years D. cannot be determined
4. An old lady engaged a domestic help on the condition that she would pay him Rs.90 and a gift after service of one year. He served only 9 months and received the gift and Rs. 65. Find the value of the gift.
A. Rs.10 B. Rs.12 C. Rs.15 D. None of the above
5. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and last three is 12673. Find the first number.
A. 19 B. 17 C. 13 D. None of the above
6. A rectangular piece of paper is 22 cm. long and 10 cm. wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder.
A. 175 (cm^3) B. 180 (cm^3) C. 185 (cm^3) D. None of the above
7. A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is:
A. 220 B. 600 C. 240 D. None of the above
8. If 2, a, b, c, d, e, f and 65 form an arithmetic progression, find out the value of 'e'.
A. 48 B. 47 C. 41 D. None of the above
9. A contract is to be completed in 56 days and 104 men are set to work, each working 8 hours a day. After 30 days, 2/5th of the work is finished. How many additional men may be employed so that work may be completed on time, each man now working 9 hours per day?
A. 56 men B. 65 men C. 46 men D. None of the above
10. A bag contains 8 red and 6 blue balls. If 5 balls are drawn at random, what is the probability that 3 of them are red and 2 are blue?
A. 80/143 B. 50/143 C. 75/143 D. None of the above
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Answers
1(d) 2(c) 3(b) 4(a) 5(b) 6(a) 7(d) 8(b) 9(a) 10(d)
Let x,y,z be distinct positive integers such that x+y+z=11. Find the maximum value of (xyz+xy+yz+zx)?
N is a natural number Div(N) a function of N is defined as follows,
Div(N)= N if N
where S(N) is the sum of the digits of N
for instance, Div(8)=8,
Div(625)=Div(6+2+5)=Div(13)=Div(1+3)=Div(D)=4 etc.
find the number of positive integer values of N less than 600 for which Div(N)=9.
Each of A and B take not more than 10 pens at random from a box containing unlimited pens. What is the probability that the difference in the number of pens they take is not more than 5 ??
No of total number of integral solution of 1/√x + 1/√y = 1/√48
In how many ways can 15 be written as a sum of 3 distinct natural numbers?
Ram and Shyam are participating in a swimming race of 1000 m. Both of them start simultaneously at one end of a swimming pool whose length is 50 m. Ram beats Shyam in the race and meets him 17 times during the course. If Ram's speed is 5 m/s then the speed of Shyam could be (rounded off to nearest whole number)??
1
3
4
6
Number of zeroes at the end of 1^99*2^98*3^97...............99^1
The minute hand of a circular clock is 14 cm long and that of hour hand is 7 cm. Find how far does the tip of the minute and hour hand move in 30 minutes?
In a cricket match between India and Srilanka, Malinga, a Srilankan pace bowler, can bowl at most four overs out of 20 overs in the match. No bowler can bowl two consecutive overs. If it is known that the 20th over was bowled by Malinga, which was also his fourth over, then in how many ways could he have bowled the rest of his overs?
oa:16c3 how?
how many factors of 18000 are divisible by 10..?
no of digits in 1001^101
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What is the coefficient of a^2c^2e^2 in the expansion of (a)(a + b)(a + b + c)... (a + b + ... + f)?
Among four men, P, Q, R and S, P takes thrice as much time as Q to complete a piece of work. Q takes thrice as much time as R, while R takes thrice as much time as S to complete the same work. One group of three of the four men can complete the work in 13 days, while another group of three can do so in 31 days. Which is the group that takes 13 days?
- PQS
- PRS
- SRQ
0 voters
In a school commitee comprising 12 members, there are exactly two students each from class 6th to 11th. In how many ways can a sub committee of 4 students can be formed such that no two students in the sub committee are from same class
in a race A beats B and C by 12m n 16m respectively ...B beats C by 8m.....find d length of d track