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- Question
A thief steals half the total number of loaves of bread plus 1/2 loaf from a bakery. A second thief steals half the remaining number of loaves plus 1/2 loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total number of loaves did the bakery have at the beginning ?
Options- A. 21
- B. 11
- C. 17
- D. 31
- Correct Answer
- 31
ExplanationLet y be the total number of loaves
a be the remaining loaves after 1st thief
b be the remaining loaves after 2nd thief
and c, d..so on after 3 and 4 th
e = 0 be the remaining loaves after 5th thiefa = y - (y/2 + 1/2)
= y/2 - 1/2b = a - (a/2 + 1/2)
= a/2 - 1/2c = b - (b/2 + 1/2)
= b/2 - 1/2d = c - (c/2 + 1/2)
= c/2 - 1/2e = d - (d/2 + 1/2)
= d/2 - 1/2
we know that, e = 0,
thus by substitution, we get
d = 1
c = 3
b = 7
a = 15
y = 31
Therefore total number of bread loaves in bakery was 31. - 1. Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had ?
Options- A. 19
- B. 23
- C. 17
- D. 15 Discuss
- 2. Find the remainder when 629 is divided by 5 ?
Options- A. 0
- B. 1
- C. 3
- D. 5 Discuss
- 3. There are two numbers such that the sum of twice the first number and thrice the second number is 100 and sum of thrice the first number and twice the second number is 120. Which is the larger number ?
Options- A. 32
- B. 24
- C. 26
- D. 38 Discuss
- 4. If in the following set of numbers, the first and the third digits are interchanged in each number, which number will be second from the end if arranged in ascending order after interchanging the digits ? 585 546 514 404 206 369
Options- A. 404
- B. 585
- C. 415
- D. 602 Discuss
- 5. When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ?
Options- A. 4
- B. 6
- C. 3
- D. 1 Discuss
- 6. Maheshwari wants to buy 7 floors in an 68 storied building whose numbering stars from 1 upto 68. But she has to follow certain rules which are as follows : 1) None of the floor should be a prime number 2) None of the digit of the floor should be a prime number 3) Maheshwari cannot buy the 1st floor as it is being assigned to the architect. So how many options are left with Maheshwari to buy the floors ?
Options- A. 11
- B. 17
- C. 13
- D. 19 Discuss
- 7. 25 divided by 7
Options- A. 3.571
- B. 35.71
- C. 0.351
- D. 0.0357 Discuss
- 8. The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is
Options- A. 17
- B. 29
- C. 43
- D. none Discuss
- 9. A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot).
Options- A. 17
- B. 18
- C. `19
- D. 20 Discuss
- 10. What is the simplified result of following the steps below in order? 1.Add 5y to 2x 2.Multiply the sum by 3 3.Substract x+y from the product
Options- A. 5x + 14y
- B. 5x + 16y
- C. 5x + 5y
- D. None Discuss
Numbers problems
Search Results
Correct Answer: 23
Explanation:
If he wants to give these books equally to 2 of his friends, then 1 book will remain, it means possible number of books = 15,17,19,21,23,25,27,29
If he wants to give these books equally to 3 of his friends, then 2 books will remain, it means possible number of books = 17,20,23,26,29
If he wants to give these books equally to 4 of his friends, then 3 book will remain, it means possible number of books = 15,19,23,27
common number is only 23 so it will be answer
Correct Answer: 1
Explanation:
All powers of 6 has 6 in units place so answer will definitely be 1.
Correct Answer: 32
Explanation:
Let the first number be K and second number be L
Then, 2K + 3L = 100.....(1)
3K + 2L = 120.......(2)
solving (1)&(2), we get
K = 32 and L = 12
Hence the largest number is 32.
Correct Answer: 415
Explanation:
Given numbers are 585 546 514 404 206 369
Then interchanging the 1st and 3rd digits of the given numbers, we get
585 645 415 404 602 963
Now, arranging them in ascending order
963 645 602 585 415 404
Then the last second number is 415.
Correct Answer: 3
Explanation:
Number = quotient x divisor + remainder;
so, here
number = 138 k + 26
=> (23 x 6k) + (23+3)
=> 23(6k+1)+3
so, remainder is 3.
Correct Answer: 17
Explanation:
Since floor starts form the 1 therefore 2 will be the 1st floor.
Form 1 to 10 only 4,6,8,9,10 are not prime.
Form 11 to 20 only 14 ,16,18 are not prime also non of their digits are prime.
From 21 to 30 each number has a prime number so it must no be consider.
In between 40 to 49 we have to consider only 40,44,46,48,49.
50 to 59 follow either of the condition so we have too neglect it.
In between 60 to 68 60,64,66,68.
total option = 17.
Correct Answer: 3.571
Explanation:
Here we have 25 divided by 7.
25 will not go directly in 7
Hence, we get the result in decimals.
25/7 = 3.571.
Correct Answer: none
Correct Answer: 17
Explanation:
The fence will consist of one more post than there are chains. (e.g. P-c-P-c-P).
Therefore, a total length has to be a multiple of the length of the chain plus one post (5.5) plus one post extra.We have length = (5.5n + 0.5), where n can be any positive whole number. If n= 3, length =17
Correct Answer: 5x + 14y
Explanation:
Step 1 :2x + 5y
Step 2 :3(2x + 5y) = 6x + 15y
Step 3 :(6x + 15y) - (x +y) = 6x + 15y - x - y (watch that last minus sign!)
This gives 5x + 14y
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