Find the sum of all the numbers that can be formed using all the digits 1,2,8,9 and 5 without repetition.A. 5555500B. 666600C. 4444400D. 6666600
B...each digit will come at each place 4! times...so adding them..
If a^p = a^q, where a is a real number, while m and n are integers, then which of the following must be a true? (A) p = q(B) If p ≠ q, a = 0 or a = 1(C) p ≠ q(D) a = p^q(E) None of these
find the first non zero integer from right in 25! ? plz explain.
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xy is a number formed by appending y to x , where x is an n- digit natural number and y is a single digit natural number. find the remainder when xy - 9x +6y +3 is divided by 69, if xy is a multiple of 69
X is the largest sum of rupees that can never be paid using any number of coins of denominations. Rs.4 , RS 8 , Rs 13 and Rs 18 .what is the sum of the digits of X ?
Two consecutive numbers are removed from a list of first 'n' natural numbers. The average of the
remaining numbers is 21 1/3 (21+1/3)
What is the product of the two numbers that have been removed?
a. 210 b. 756 c. 240 d. Cannot be determined
answer is 210.
Approach plz
Puys can you tell me where can I find last years' (preferably recent years) CAT papers online?
. A woman sells to the first customer half her stock of apples and half an apple, to the second customer half an apple and half of her remaining stock and so also to a third and to a fourth customer. She finds that she has now 15 apples left. How many had she at first?
pliz provide the solution...
a)125
b)255
c)250
d)155
In a factory, there are equal number of women and children. Women work for 6 hours a day an children and 4 hours a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 6 hours a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are
4
9
5
3
A palindrome is a positive integer which is unchanged if you reverse the order of its digits. If all palindromes are written in increasing order, how many possible prime values can the difference between successive palindromes take?
Options:
1. 1
2. 2
3. 3
4. none of these
A man went to casino to play a card game. He played 10 rounds of that game. In each round, he doubled his amount and then gave Rs.x to his friend. After 10 rounds, he had Rs.1023. Find the sum of the digits of least possible value of x. (All amount involved in rupees are integers )
a) 5
b) 6
c) 7
d) 8
d) 8
Two different solutions of honey, milk and water are mixed with each other three times in varying
proportions. The concentration of honey and milk in the three resulting solutions are found to be
(10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x?
(a) 4 (b) 7 (c) 8 (d) 10
A solid cube (4 x 4 x 4) has been painted black, blue and yellow on pairs of opposite faces. The cube is now cut into 36 smaller cubes such that 32 (1 x 1 x 1) are of same size while 4 are of bigger size (2 x 2 x 2). Also no face of any of the bigger cube is painted blue.
1. How many cubes have at least one face painted blue?
a. 0 b. 8 c. 16 d. 32
2. How many cubes have only one face painted?
a. 0 b.4 c. 8 d. 12
Page and Plant are running on a track AB of length 10 metres. They start running simultaneously
from the ends A and B respectively. The moment they reach either of the ends, they turn around and
continue running. Page and Plant run with constant speeds of 2m/s and 5m/s respectively. How far
from A (in metres) are they, when they meet for the 23rd time?
(a) 0 (b) 10 (c)
40
7
(d)
60
7
find the smallest natural number with 6 as the unit's digit,such that if the unit's digit is moved to the leftmost place of the number,then the number formed would be 4 times the original number.
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A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?
1. 165
2. 175
3. 80
4. none of these
Two typists undertake to do a job. The second typist begins working one hour after the first. Three
hours after the first typist has begun working, there is still 9/20 of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually ?
(a) 12 hr and 8 hr (b) 8 hr and 5.6 hr (c) 10 hr and 8 hr (d) 5 hr and 4 hr
Two typists undertake to do a job. The second typist begins working one hour after the first. Three
hours after the first typist has begun working, there is still 9/20 of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually ?
(a) 12 hr and 8 hr (b) 8 hr and 5.6 hr (c) 10 hr and 8 hr (d) 5 hr and 4 hr
Suppose 1st typist does work 'W' in 'a' hrs and 2nd typist in 'b' hrs.
Work done by each one of them in 1 hr is 'W/a' and 'W/b' respectively.
after 3 hrs they have completed 11W/20 work, so the equation formed is-
3(W/a) + 2(W/b) = 11W/20.
(3b+2a)/20 = 11/20
ab should be a multiple of 20 and 3b + 2a should be a multiple of 11, option C satisfies these conditions.
The number of positive integer valued pairs (x, y) satisfying 4x – 17y = 1 and x
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The number of positive integral solutions of abc=30 is
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