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- Question
What is the right most integer of the expression 65776759 + 54697467 ?
Options- A. 4
- B. 6
- C. 9
- D. 0
- Correct Answer
- 9
ExplanationLast digit for the power of 6 is 6 (always)
Power cycle of 7 is 7, 9, 3, 1.
Now 467/4 gives a remainder of 3
Then the last digit is = 3
Last digit is 6 + 3 = 9.
- 1. 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
- 2. 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
- 3. Find the remainder when 1234 x 1235 x 1237 is divided by 8.
Options- A. 4
- B. 2
- C. 0
- D. 6 Discuss
- 4. 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
- 5. How many numbers with distinct digits are possible product of whose digits is 18?
Options- A. 12
- B. 8
- C. 6
- D. 4 Discuss
- 6. A box contains 90 screws each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg, then the weight of the empty box is ?
Options- A. 10.5 kgs
- B. 12 kgs
- C. 9.6 kgs
- D. 11.5 kgs Discuss
- 7. How many digits will be there to the right of the decimal point in the product of 85.44 and .08455 ?
Options- A. 7
- B. 5
- C. 4
- D. 6 Discuss
- 8. A sequence of natural number 2,3,5,6,10. Such that no square and no cube occurs in the term. Find the 300th term of sequence ?
Options- A. 322
- B. 319
- C. 321
- D. 320 Discuss
- 9. Which of the following is not a prime number?
Options- A. 5
- B. 11
- C. 21
- D. 37 Discuss
- 10. If n is even, which of the following cannot be odd?
Options- A. n+3
- B. 2n
- C. n+4
- D. 3n Discuss
Numbers problems
Search Results
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.
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: 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: 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: 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: 11.5 kgs
Explanation:
Screws weight = 90x100 = 9000gms
bolts weight = 100 x 150 = 15000gms
weight = screws + bolts => 24000 gms =>24 kg
Given entire box weight = 35.5kg
empty box = entire box weight - weight => 35.5kg - 24kg => 11.5kg
so the empty box is 11.5kg.
Correct Answer: 6
Explanation:
Sum of decimal places = 7.
Since the last digit to the extreme right will be zero (since 4 x 5 = 20), so there will be 6 significant digits to the right of the decimal point.
Correct Answer: 320
Explanation:
1 to 300 = 300 numbers
squares btwn 1 to 300 = 1,4,9,16,25,36,49.....289 i.e, total 17
cubes = 1,8,27,64,125,216 i.e, 5
now 1 and 64 are common so total numbers that should be removed ( 17+5-2= 20 )
total 20 term removed so 300th term would be 320
Correct Answer: 21
Explanation:
A prime number is a whole number greater than 1 whose only factors are 1 and itself.
Factors of 5 are 1, 5
Factors of 11 are 1, 11
Factors of 21 are 1, 3, 7, 21
Factors of 37 are 1, 37.
Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.
Correct Answer: 2n
Explanation:
In case B, odd times even will give even
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