The number of factors of the number N = 4^6 + 6^8 is (1) 18 (2) 36 (3) 54 (4) 72 (5) None of these -
Given that the product of two numbers AB and CD is a three digit number EEE, where A, B, C, D and E are distinct non zero digits. What is the sum of all the possible values of AB? (1) 228 (2) 240 (3) 246 (4) 165 (5) None of these -
If 'A' and 'B' are positive integers such that A/B=113.3125 then what is the smallest value of 'B' such that (A^2-4)is divisible by B? (1) 8 (2) 16 (3) 32 (4) 48 (5) 64 -
AWESOME SET OF questions :)
Q15) A natural number consists of only 0's and 1's. If the number is divisible by 375, then what is the least possible number of 0's and 1's in the number respectively?(a) 6 and 3(b) 3 and 6(c) 6 and 9(d) None of these..
Q16) If a, b, c and d are integers and n is a prime number, then which of the following is always a factor of (a + b – c – d)^n – (a^n + b^n – c^n – d^n)?
(a) n(b) a + b – c – d(c) n – 2(d) n + 2..
Q17) Find the smallest number which when divided by 3, 5, 7 and 11 leaves remainders 2, 4, 6 and 1 respectively.
(a) 419(b) 104(c) 209(d) None of these..
Q18) Find the number of possible solutions of m! = a! + b! + c!, where m, a, b and c are positive integers.(a) 2(b) 3(c) 7(d) 1
five different balls of diff. colors are to be placed in 3 boxes of diff. sizes each box can hold all 5 balls what is the no. of ways in which we can place the balls so that no box is empty????
There is a triangleABC with sides a,b,c and another triangle DEF with sides d,e,f such that:
a(a+b+c)=d^2
b(a+b+c)=e^2
c(a+b+c)=f^2
so is the triangle DEF
a)acute
b)right angled
c)obtuse?
in an examination , 34% failed in math and 42% students failed in english. 20% students failed in both subject , then percentage of student passed in both the subject ?
note :- most humble request please explain this question in detail
Choose 4 books out of 12 books such that no book is adjacent ?
Clock A: loses 4 sec/min
Clock B: Gains 3 sec/min
Both the clocks are currently set at 1:00 pm. When the time in clock A is 9:00 pm on the same day. What is the angle between hands of clock B at that moment
No. of integral solution for following:
|x| + |y| + |z| = 10
a) 5040 b) 7180 c) 8150 d) None of these e) all of the above 😛
4 identical dice(6 outcomes) are thrown. Then no. of different outcomes ?
find the remainder when 432104321043210........upto 3000 digits is divided by 9999. ?
Companies P, Q, R and S are diversified companies each of which have business interest in exactly three areas among IT, Oil and Gas, Construction, Automobiles and Cement. The following table gives the percentage growth in revenue of each division and the overall growth in revenue of each company in 2007,both when compared to that of the previous year.
At least what percentage of the revenue of company R was contributed by the oil and gas division in 2006?
A triangle is divided into four parts by straight lines from two of the corners. The area of the three triangular parts are 8, 5 and 10 sq. units. What is the area of the remaining part?
The average marks scored by two sections - A & B - of a class are 70 and 75 respectively. Three students moved from section B to section A, thereby interchanging the average marks of two sections. Find the total number of students in the two sections together, if the average marks scored by three students who moved is 95
- 24
- 27
- 36
- 12
0 voters
Suppose for any positive integer n, s(n) is the remainder when n is divided by 19. Find the number of pairs of integers (a,b), such that 1≤a≤b≤18, and for all k=1,2,...,18
k+s(ka)+s(kb)≥20
A 8 cm by 12 cm rectangle is folded along its long side so that two diagonally opposite corners coincide. Length of crease formed ?
Last one for night:
Side of cube 1 m.
Speed of ant= 1 m/ min
Shortest time taken by ant to travel from one corner to opposite corner.
A person has to climb 10 steps. He climbs in either single step or 2 steps. In how many ways can he do so ?