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- Question
(3x + 2) (2x - 5) = ax˛ + kx + n . What is the value of a - n + k ?
Options- A. 5
- B. 8
- C. 9
- D. 10
- Correct Answer
- 5
ExplanationThis is a quadratic equation. To find n we multiply the last terms in each bracket together (2 times -5) = -10
To find ?a? we multiply the first terms in each bracket together (3x times 2x) = 6x2, So a = 6.
Thus a - n = 16
To find k we multiply the first term in the first bracket by the second term in the second bracket and add the result to the product of the second term in the first bracket and the first term in the second. (-15x + 4x) = -11x. So k = -11
16 - 11 = 5
- 1. Shankara buys a watch for Rs. 1,950 in cash and sells it for Rs. 2,200 at a credit of 1 year. If the rate of interest is 10% per annum, he _____ :
Options- A. gains Rs. 55
- B. gains Rs. 50
- C. loses Rs. 30
- D. gains Rs. 30 Discuss
- 2. ABCD is a rhombus with ? ABC = 56°, then ? ACD is equal to :
Options- A. 90°
- B. 60°
- C. 56°
- D. 62° Discuss
- 3. The shaded region represents
Options- A. y ? x
- B. y ? ? x
- C. y ? x
- D. y ? ? x Discuss
- 4. 45 x? = 25% of 900
Options- A. 16.20
- B. 4
- C. 5
- D. 500 Discuss
- 5. Rajan sold an articles for ? 6000 at a loss of 25%. Find the cost price.?
Options- A. ? 7500
- B. ? 7200
- C. ? 8000
- D. ? 8500 Discuss
- 6. In which of the following cases, A = B?
Options- A. A = {12, 14, 16}, B = {16, 18, 20}
- B. A = ?, b = {}
- C. A = {x: x ? W and x < 1}, B = ?
- D. A = {x: x is a day of the week beginning with S}, B = {Sunday} Discuss
- 7. 10, 25, 45, 54, 60, 75, 80
Options- A. 10
- B. 45
- C. 54
- D. 75 Discuss
- 8. If two parallel lines are intersected by a transversal, then the bisectors of the two pairs of interior angles enclose a:
Options- A. Trapezium
- B. Rectangle
- C. Square
- D. circle Discuss
- 9. ?. 6x 2 + 77x + 121 = 0
?. y 2 + 9y ? 22 = 0
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 10. The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is?
Options- A. 147 sq. cm
- B. 210 sq. cm
- C. 154 sq. cm
- D. 77 sq. cm Discuss
More questions
Correct Answer: gains Rs. 50
Explanation:
Correct Answer: 62°
Explanation:
Correct Answer: y ? x
Explanation:
The shaded region represents
y ? x
Correct Answer: 5
Explanation:
Let 45 x A = (25 x 900)/100
? A = (25 x 9)/45 = 5
Correct Answer: ? 8000
Explanation:
CP = [100/(100 - Loss%) ] x SP
CP = 6000 x (100/75) = 8000
Correct Answer: A = ?, b = {}
Explanation:
NA
Correct Answer: 54
Explanation:
Correct Answer: Rectangle
Explanation:
Correct Answer:
Explanation:
Correct Answer: 77 sq. cm
Explanation:
Angle swept in 30 min= 180°
Area swept = [(22/7) x 7 x 7] x [180°/360°] cm2
= 77 cm2
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