What is the remainder when 1^1 + 2^2 + 3^3.....100^100 is divided by 8 ?
Please post Approach š
The total number of students in three different sections namely I, II and III is 'AA', 'BB' and 'CC' respectively. The total number of students in the mentioned three sections is 'DD0'. Assume that A, B and C are distinct natural numbers and D is a non zero digit. All the mentioned numbers are in the same base and the base is not greater than 9.
i) How many distinct values of (A, B and C) are possible?
(1) 10 (2) 12 (3) 14 (4) 8 (5) 6
ii) What is the maximum value of (A + B + C) ?
(1) 12 (2) 14 (3) 16 (4) 18 (5) None of these
Q18
Q 7
Q 8
The price of a hat is reduced by a% from its regular price, and then is raised by a% from the reduced price. If the resulting price is a 64% discount from the regular price, what is a?
somebody help me
Q 17
Lukas have a banana plantation and a camel. He wants to transport his 3000 bananas to the market, which is located after the desert. The distance between his banana plantation and the market is about 1000 kilometer. So he decided to take his camel to carry the bananas. The camel can carry at the maximum of 1000 bananas at a time, and it eats one banana for every kilometer it travels. What is the largest number of bananas that Lucas can deliver at the market?
Midas has boxes in three sizes: large, medium, and small. He puts 11 large boxes on a table. He leaves some of these boxes empty, and in all the other boxes he puts 8 medium boxes. He leaves some of these medium boxes empty, and in all the other medium boxes he puts 8 (empty) small boxes. Now, 102 of all the boxes on the table are empty. How many boxes has Midas used in total?
The number of real roots of the equation |1 - |x|| - (1.01)(1.01x) = 0 is/are
My take is 2 .Can anybody confirm ?
- 1
- none
- 3
- 2
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From a book, a number of consecutive pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?
How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed? (1) 499 (2) 500 (3) 375 (4) 376 (5) 501
A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set ?
a) 32
b) 37
c) 40
d) 43
e) 50
A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set ?
- 37
- 43
- 40
- 50
- 32
0 voters
The number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is m(m > 100). If one more student is added, then number of ways of arranging as above increases by 200%. The value of n is
A.
12
B.
8
C.
9
D.
10
Find the product of the roots of the equation 10^{log_x(10)} = 10xĀ²
A) 1/10
B) (ā10)/10
C) 1
D) -2
E) None of the above
Note:- log_a(b) means log(b) where a is base
For how many positive integers 1ā¤nā¤1000 is n^3+71n^2 also a perfect square?
What is the remainder when
F(x)=x^2340+x^2335+x^2330+ā¦+x^10+x^5+x^0is divided by x4+x3+x2+x+1?
Details and assumptions
x^0=1.
In a laboratory, equal number of rats were injected with solution A. In a week,55% of rats injected with solution A got infected with a disease and of that,equal number of rats were treated with vaccine C and D. Now , percentage of rats treated with vaccine C who recovered was 70% and that of vaccine D was 50% ,while others dead. Calculate the number of rats on whom the experiment was carried out in the laboratory, if the number of rats dead even after being treated with vaccines due to the disease is 77.