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- Question
The product of a number and its multiplicative inverse is
Options- A. 1
- B. 0
- C. -1
- D. Infinity
- Correct Answer
- 1
ExplanationThe mutiplicative inverse of a number is nothing but a reciprocal of a number.
Now, the product of a number and its multiplicative inverse is always equal to 1.
For example :
Let the number be 15
Multiplicative inverse of 15 = 1/15
The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.
- 1. Find the number of factors of 9321 ?
Options- A. 4
- B. 5
- C. 7
- D. 8 Discuss
- 2. If x is a whole number, then x²(x² - 1) is always divisible by ?
Options- A. 4
- B. 8
- C. 12
- D. None Discuss
- 3. If V = 12R / (r + R) , then R =
Options- A. Vr / (12 - V)
- B. Vr + (V /12 )
- C. V
- D. V / (r - 12 ) Discuss
- 4. The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?
Options- A. 80 degrees
- B. 60 degrees
- C. 120 degrees
- D. 40 degrees Discuss
- 5. The sum of three consecutive odd numbers is 93. What is the middle number?
Options- A. 31
- B. 33
- C. 29
- D. 27 Discuss
- 6. 3131×31-27 =?
Options- A. 961 x 861
- B. 961 x 961
- C. 961 x 2
- D. 29791 Discuss
- 7. What is the remainder when 1523+2323 is divided by 19 ?
Options- A. 4
- B. 3
- C. 1
- D. 0 Discuss
- 8. Find the next number in the series 2, 3, 4, 8, 9, 10, 11, 16, 17, 18, 19, 20,...
Options- A. 27
- B. 26
- C. 24
- D. 25 Discuss
- 9. Find the next number in the series 141,137,146,130,155,119,...
Options- A. 147
- B. 168
- C. 162
- D. 182 Discuss
- 10. What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?
Options- A. 2
- B. 3
- C. 4
- D. 5 Discuss
Numbers problems
Search Results
Correct Answer: 8
Explanation:
9321 = 3 x 13 x 239 = 31 x 13 1 x 239 1 ; add one to all the powers ie.,
(1+1) x (1+1) x (1+1)= 8 ;
we get eight factors.
Correct Answer: 12
Explanation:
we can do this by trial and error method.
Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.
Correct Answer: Vr / (12 - V)
Explanation:
We have to rearrange the equation to make R the subject.
Start by cross multiplying by (r + R); V (r + R) = 12R
Multiply out the bracket Vr + VR = 12R
Correct Answer: 60 degrees
Explanation:
Given the angles of a quadrilateral are in the ratio of 2:4:7:5
Let the angles of a quadrilateral are 2x, 4x, 7x, 5x
But we know that sum of the angles = 360 degrees.
=> 2x + 4x + 7x + 5x = 360
=> x = 20
Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.
One of the angle of the triangle = 2 x 40 = 80 degrees
The other angle is 180 - (40 + 80) = 60 degrees.
Hence the second largest angle of the triangle is 60 degrees.
Correct Answer: 31
Explanation:
Let the three consecutive odd numbers be x, x+2, x+4
Then,
x + x + 2 + x + 4 = 93
=> 3x + 6 = 93
=> 3x = 87
=> x = 29 => 29, 31, 33 are three consecutive odd numbers.
Therefore, the middle number is 31.
Correct Answer: 961 x 961
Explanation:
We know that
= = 961 x 961.
Correct Answer: 0
Explanation:
The remainder on dividing by 19 will be = 0.
Correct Answer: 26
Explanation:
The pattern is three consecutive numbers and then three consecutive numbers missing.Then four consecutive numbers and then four consecutive numbers missing.Then five consecutive numbers and then five consecutive numbers missing.
The next number=20+6=26
Correct Answer: 168
Explanation:
The pattern is -4, +9,-16, +25, -36
The next number=119+49=168
Correct Answer: 5
Explanation:
By trial and error method, we get
2880/3 = 960 is not a perfect square
2880/4 = 720 is not a perfect square
2880/5 = 576 which is perfect square of 24
Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.
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