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- Question
If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?
Options- A. n is odd
- B. n + 1 cannot be a prime number
- C. (n + 2) divided by 7 has remainder 2
- D. n + 3 is divisible by 5
- Correct Answer
- n + 3 is divisible by 5
ExplanationYou can find the integers which when divided by 5 have a remainder 2 by adding 2 to all multiples of 5. So we have n = 7 , 12, 17, 22 etc.
From this series we can see that n does not have to be odd.
Also n + 1 can be a prime because, for example, 12 + 1 = 13
And (n + 2) / 7 has a remainder 2 in some cases but not all.
Remember the question asks us for what MUST be true, and we see that none of the statements are true in all cases. However, adding 3 to any of the values of n will always give a multiple of 5.
- 1. 854*854*854-276*276*276854*854+854*276+276*276=?
Options- A. 546
- B. 578
- C. 607
- D. None of these Discuss
- 2. What is the value of (91 + 92 + 93 + ......... +140)?
Options- A. 5775
- B. 11550
- C. 17325
- D. 23100 Discuss
- 3. Which of the following is equivalent to 0.565656...?
Options- A. 56/100
- B. 56/1000
- C. 56/99
- D. 560/90 Discuss
- 4. Find the regular polygon whose interior angel is 150 more than exterior angle. note the total sum of interior and exterior angle should be 180 at one point ?
Options- A. 12
- B. 24
- C. 36
- D. 6 Discuss
- 5. There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number?
Options- A. 121
- B. 943
- C. 462
- D. None Discuss
- 6. If x / y is an integer, which of the following statements need NOT always be true?
Options- A. both x and y are integers
- B. only x is a integer
- C. both are negative
- D. none Discuss
- 7. If you write down all the numbers from 1 to 100, then how many times do you write 4 ?
Options- A. 11
- B. 20
- C. 17
- D. 14 Discuss
- 8. Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ?
Options- A. Rs. 13 and Rs. 17
- B. Rs. 17 and Rs. 19
- C. Rs. 23 and Rs. 17
- D. Rs. 13 and Rs. 19 Discuss
- 9. In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students can understand each and every step 1. Which is greater than 4? (a) 5, (b) -5, (c) -1/2, (d) -25.
Options- A. 5
- B. 20
- C. 2
- D. 3 Discuss
- 10. Which is the correct ascending order of the given numbers?
Options- A. 1/3, 4/15, 0.33
- B. 1/3, 0.33, 4/15
- C. 4/15, 0.33, 1/3
- D. 0.33, 4/15, 1/3 Discuss
Numbers problems
Search Results
Correct Answer: 578
Explanation:
Given exp . is like this
so ans = 854 - 276 = 578
Correct Answer: 5775
Correct Answer: 56/99
Correct Answer: 24
Explanation:
Sum of Interior angle is 180 .
and it is given that interior angle is 150 more than exterior,
so let exterior angle is x then interior will be x+150
now , interior + exterior =180
x+150+x=180
x=15
now , number of sides of polygon = 360 / exterior angle
n = 360 / 15
n = 24
Correct Answer: 462
Explanation:
Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)
and 121 is not divisible by 2
The answer is 462.
Correct Answer: both x and y are integers
Explanation:
In case (A), x and y could, for example, both be equal fractions and x/y would be an integer.
Correct Answer: 20
Explanation:
4, 14, 24, 34, 44, 54, 64, 74, 84, 94 => has 11 number of (4's)
40, 41, 42, 43, 45, 46, 47, 48, 49 => has 9 number of (4's)
So, totally (11 + 9 = 20) number of 4's in 1 to 100.
Correct Answer: Rs. 13 and Rs. 17
Explanation:
If fares for cities L and M from K are x and y respectively, then
2x + 3y = 77 or 6x + 9y = 231...(1)
3x + 2y = 73 or 6x + 4y = 146...(2)
subtracting 2 from 1, we get
5y = 85
y = Rs. 17 => x = Rs. 13
Correct Answer: 5
Explanation:
Solution:
5 greater than 4.
Answer: (a)
Correct Answer: 4/15, 0.33, 1/3
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