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- Question
3x + y = 19 and x + 3y = 1. Find the value of 2x + 2y
Options- A. 20
- B. 18
- C. 11
- D. 10
- Correct Answer
- 10
ExplanationTo solve a pair of simultaneous equations such as those given we can add or subtract them.
Adding we get 4x + 4y = 20
Therefore 2x + 2y = 10
- 1. What is the value of 4 in 475?
Options- A. 4
- B. 400
- C. 475
- D. 40 Discuss
- 2. The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ?
Options- A. 28
- B. 19
- C. 37
- D. 46 Discuss
- 3. A number divided by 296 leaves the remainder 75. If the same number is divided by 37, what will be the remainder ?
Options- A. 0
- B. 1
- C. 11
- D. 8 Discuss
- 4. Courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.55 ?
Options- A. 1155
- B. 1145
- C. 1040
- D. None Discuss
- 5. If n is natural number , then 6n2+6n is always divisible by :
Options- A. 6 only
- B. 6 and 12 both
- C. 12 only
- D. by 18 only Discuss
- 6. How many numbers with distinct digits are possible product of whose digits is 18?
Options- A. 12
- B. 8
- C. 6
- D. 4 Discuss
- 7. How many remainders are possible if 16n is divided by 9 for any positive integral value of n ?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 8. Find the remainder when 1234 x 1235 x 1237 is divided by 8.
Options- A. 4
- B. 2
- C. 0
- D. 6 Discuss
- 9. A six-digit number is formed by repeating a three-digit number; for example, 404404 or 415415 etc. Any number of this form is always exactly divisible by
Options- A. 101
- B. 901
- C. 1001
- D. 789 Discuss
- 10. A teacher multiplies 987 by a certain number and obtains 556781 as her answer. If in the answer, both 6 and 7 are wrong but the other digits are correct, then the correct answer will be
Options- A. 553681
- B. 555181
- C. 556581
- D. 555681 Discuss
Numbers problems
Search Results
Correct Answer: 400
Explanation:
The value of 4 in 475 means the place value of 4 in 475 and not its face value. Face value means the digit itself though it is at any place in the given number. But place value means the value of digit in its place in the given number.
Here the place value of 4 in 475 can be determined by as 4 is in 100's place in 475.
Hence, the place value of 4 in 475 is 4x100 = 400.
Correct Answer: 28
Explanation:
Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28
The difference is 82 - 28 = 54 i.e, the number is decreased by 54.
Correct Answer: 1
Correct Answer: 1145
Explanation:
The weight will be 250g plus (1.55 - 0.65)/0.10 units of 100g
250 + 900 = 1150
This is the maximum weight that can be sent at that price. But, weights exceeding
250 + 800 will also get charged this amount (that is what the ?part thereof? implies).
Hence a package weighing 1145 will be charged $1145
Correct Answer: 6 and 12 both
Explanation:
, which is always divisible by 6 and 12 both, since n(n+1) is always even.
Correct Answer: 8
Explanation:
Two digit numbers: The two digits can be 2 and 9: Two possibilities 29 and 92.
Three-digit numbers: The three digits can be 1, 2 and 9 => 3! Or 6 possibilities.
We cannot have three digits as (3, 3, 2) as the digits have to be distinct.
We cannot have numbers with 4 digits or more without repeating the digits.
So, there are totally 8 numbers.
Correct Answer: 3
Explanation:
When is divided by 9, we have
, remainder = 7
, remainder = 4
, remainder = 1
, remainder = 7
, remainder = 4
, remainder = 1
So, we have cyclicity of 3 factors i.e 7,4,1.
Hence only 3 remainders are possible.
Correct Answer: 6
Explanation:
When we divide 1234 by 8, remainder is 2
When we divide 1235 by 8, remainder is 3
When we divide 1237 by 8, remainder is 5
---> 2 x 3 x 5 = 30
As 30 will not be the remainder because it is greater than 8,
when 30 divided by 8, remainder = 6.
Correct Answer: 1001
Explanation:
Here by trial and error method, we can obseve that
404404 = 404 x 1001; 415415 = 415 x 1001, etc.
So, any number of this form is divisible by 1001.
Correct Answer: 555681
Explanation:
Given number is 987 = 3 x 7 x 47.
So, required number must be divisible by each one of 3, 7, 47.
None of the numbers in 553681 and 555181 are divisible by 3. While 556581 is not divisible by 7.
Correct answer is 555681.
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