How many number are there in range of 10 to 106 such that their digit sum is 18 ? For ex. 99000, 9072, 90027, 66006.. .
A. 23C5
B. 23C5 +13 C5
C. 23C5 −13C5
D. 23C5 + 6.13C5
E. 23C5 − 6.13C5
Find the number of ordered pair of positive integers (a.n) such that an+1 − (a + 1)n = 2001
A. 0
B. 1
C. 2
D. 3
E. none of these
Mohan is a carpenter who specialises in making chairs. For every assignment he undertakes, he charges his commission and cost.His commission is fixed and equals Rs.560 per assignment while the cost equals Rs.2n² where n is the total number of chairs he makes. If for a certain assignment the average cost per chair is not more than Rs.68 then the minimum and maximum possible number of chairs in the assignment are, respectively.
A. 13 and 19
B. 13 and 20
C. 14 and 19
D. 14 and 20
A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?
A. 1000
B. 1074
C. 1075
D. 1080
If there are 10 positive real number n1 < n2 < n3 ... < n10. How many triplets of these numbers (n1, n2, n3), (n2, n3, n4), .... can be generated such that in each triplet the first number is always less than the second number, and the second number is always less than the third number?
A. 45
B. 90
C. 120
D. 180
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?
A. 4
B. 0
C. 1
D. 3
E. 2
The Product of the L.C. M and H.C.F of two numbers is 24. The difference of two numbers is 2. Find the numbers.
A. 2 and 4
B. 6 and 4
C. 8 and 6
D. 8 and 10
Find the wrong number in the series: 2, 9, 28, 65, 126, 216, 344
A. 2
B. 28
C. 65
D. 126
E. 216
If logn 54=a and logn72=b, find logn 1728 in terms of a and b.
A. (1/5)(15a – 7b)
B. (1/7)(15b – 3a)
C. (1/5)(27a – 3b)
D. (1/7)(12b - 27a)
Let A denote the set of positi8ve integers each of which when divided by 2,3,4,5,6 leaves a remainder of 1,2,3,4,5 respectively. How many numbers in A are between 0 and 100?
A. 0
B. 1
C. 2
D. None of these
How many numbers greater than a million can be formed using digits 0,6 ,6, 7 , 0, 0 , 6, and 7
A. 410
B. 420
C. 360
D. 800
If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5 ?
A. 13.41
B. 20.46
C. 21.66
D. 22.35
On meeting Tony, if Appu and Tony walk towards the spot where Roxy is waiting, how manyminutes have elapsed between Roxy leaving the duo and then meeting them again ?
A. 20
B. 25
C. 23
D. 30
6138.85 + 2015.819 = ? + 2584.0259
A. 55.7041
B. 5570.6431
C. 5470.6431
D. 5669.6431
E. None of these