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- Question
If V = 12R / (r + R) , then R =
Options- A. Vr / (12 - V)
- B. Vr + (V /12 )
- C. V
- D. V / (r - 12 )
- Correct Answer
- Vr / (12 - V)
ExplanationWe 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
- 1. 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
- 2. The sum of three consecutive odd numbers is 93. What is the middle number?
Options- A. 31
- B. 33
- C. 29
- D. 27 Discuss
- 3. What will come in place of the question mark (?) in the following questions ? 22% of ? + 166.64 = 340
Options- A. 788
- B. 786
- C. 784
- D. 792 Discuss
- 4. About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ?
Options- A. 40
- B. 45
- C. 32
- D. 30 Discuss
- 5. How many terms are in the G.P. 3, 6, 12, 24, ......., 384 ?
Options- A. 8
- B. 9
- C. 10
- D. 11 Discuss
- 6. If x is a whole number, then x²(x² - 1) is always divisible by ?
Options- A. 4
- B. 8
- C. 12
- D. None Discuss
- 7. Find the number of factors of 9321 ?
Options- A. 4
- B. 5
- C. 7
- D. 8 Discuss
- 8. The product of a number and its multiplicative inverse is
Options- A. 1
- B. 0
- C. -1
- D. Infinity Discuss
- 9. 3131×31-27 =?
Options- A. 961 x 861
- B. 961 x 961
- C. 961 x 2
- D. 29791 Discuss
- 10. What is the remainder when 1523+2323 is divided by 19 ?
Options- A. 4
- B. 3
- C. 1
- D. 0 Discuss
Numbers problems
Search Results
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: 788
Explanation:
(kx22)/100 = 340 - 166.64 = 173.36
k = (173.36 x 100)/22
k = 788
Correct Answer: 32
Explanation:
Probability of left handed = 4/5
total student = 40
total left handed = 40 x(4/5)
= 32
Correct Answer: 8
Explanation:
Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 384 => a * r^(n-1) = 384
=> 3 * 2^(n-1) = 384 => 2^(n-1) = 128 = 2^(7)
=> n-1 = 7 => n = 8.
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: 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: 1
Explanation:
The 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.
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.
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