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- Question
If x+y+z = 0, then what is the value of x23z+y33xz+z23x ?
Options- A. 0
- B. xz
- C. y
- D. 3y
- Correct Answer
- y
- 1. If x = 2+32-3 , then what is the value of x2+x-9 ?
Options- A. 0
- B. 3?2
- C. 3?3
- D. 5?3 Discuss
- 2. If x + y = 5, x3 + y3 = 35 , then what is the positive difference between x and y?
Options- A. 0
- B. 1
- C. 5
- D. 6 Discuss
- 3. If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?
Options- A. 2m ?m^2/n
- B. 2m ?m/n
- C. 2m
- D. 2m ?m Discuss
- 4. Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10?3 cm, then what is the diameter of the circle?
Options- A. 10 cm
- B. 15 cm
- C. 20 cm
- D. 30 cm Discuss
- 5. A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?
Options- A. 12/?+4
- B. 6/?+4
- C. 3/?+4
- D. 6/?+2?2 Discuss
- 6. If x - 1/x = 1 then what is the value of 1x1x-1-1x+1+1x2+1-1x2-1?
Options- A. ±?5
- B. 2/5
- C. ±2/?5
- D. ±?5/2 Discuss
- 7. If cosec2 ? = 625/576 , then what is the value of [(sin ? ? cos ?)/(sin ? + cos ?)]?
Options- A. 1
- B. 31/17
- C. 17/31
- D. 14/25 Discuss
- 8. What is the value 32cos 39sin 51-sin239 + sin251
Options- A. 1/2
- B. 5/2
- C. 0
- D. Both 1/2 and 5/2 Discuss
- 9. What is (x-y)3+y-23+z-x33x-yy-zz-x =?
Options- A. 1
- B. 0
- C. 1/3
- D. 3 Discuss
- 10. If ax= by= cz and b2= ac , then what is 1x+1z equal to ?
Options- A. 1/y
- B. -1/y
- C. 2/y
- D. -2/y Discuss
Simplification problems
Search Results
Correct Answer: 5?3
Correct Answer: 1
Correct Answer: 2m ?m^2/n
Explanation:
Mean of m observations is n
Mean of n-m observations is m
So total = nm+ (n-m)m
Total observations = n
Mean = Total / Total observations = (2mn-m^2)/n = 2m ?m^2/n
Correct Answer: 20 cm
Explanation:
Let there be 2 circles with centre O1 and OAB is the common chord
Since both passes through the center of each other as shown in figure
So O1O is the radius of both
Let O1O = r = AO1= AO
AX = AB / 2 = 5?3 cm (since OX perpendicular to chord bisects it)
AOO1 forms an equilateral triangle with on side = radius = r
Sin 60 = ?3/2 = AX / AO = 5?3/r
So r = 10 cm
So diameter = 20 cm
Correct Answer: 6/?+4
Explanation:
As it is clear that 2r = a where a is the side of the square and
R is the radius of circle
It is given that 2?r + 4a = 12
a = 12/(?+4)
Correct Answer: ±2/?5
Correct Answer: 17/31
Correct Answer: Both 1/2 and 5/2
Correct Answer: 1
Correct Answer: 2/y
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