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- Question
- If (x + y - 8)/2 = (x + 2y - 14)/3 = (3x + y - 12)/11 then find the values of x and y, respectively.
Options- A. 2, 6
- B. 4, 8
- C. 3, 5
- D. 4, 5
- Correct Answer
- 2, 6
ExplanationGiven,
(x + y - 8)/2 = (x + 2y - 14)/3 = (3x + y - 12)/11
? (x + y - 8)/2 = (x + 2y - 14)/3
? 3x + 3y - 24 = 2x + 4y - 28
? 3x + 3y - 2x - 4y = -28 + 24
x - y = -4 ...(i)
Again, (x + 2y - 14)/3 = (3x + y - 12)/11
? 11x + 22y - 154 = 9x + 3y - 36
? 2x + 19y = 118 ..(ii)
On multiplying Eq. (i) by 2 and subtracting from Eq., we get
2x - 2y = -8
2x + 19y = 118
-------------------
-21y = -126
? y = 6
On putting the value of y in Eq. (i), we get
x - 6 = -4
? x = 2
? x = 2 and y = 6 - 1. The ratio of the area of square of side a and equilateral triangle of side a is?
Options- A. 2 :1
- B. 2 : ?3
- C. 4 :3
- D. 4 : ?3 Discuss
- 2. (log tan1°. log tan2° ............. log tan50°) is?
Options- A. 0
- B. 1
- C. 2
- D. - 1 Discuss
- 3. The number of all prime numbers less than 40 is ...
Options- A. 15
- B. 18
- C. 12
- D. 17 Discuss
- 4. The areas of two similar ?s are 81 cm 2 and 144 cm 2. If the largest side of the smaller ? is 27 cm, then the largest side of the larger ? is :
Options- A. 24 cm
- B. 48 cm
- C. 36 cm
- D. 88 cm Discuss
- 5. A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is ?
Options- A. 16
- B. 34
- C. 14
- D. 36 Discuss
- 6. In the following, find the value (s) of P so that the given equation has equal roots 3x 2 - 5x + P = 0
Options- A. - 25 12
- B. 25 6
- C. 25 12
- D. - 25 6 Discuss
- 7. If (1/5 )3a = 0.008 Find the value of ( 0.25)a
Options- A. 20.5
- B. 22.5
- C. 0.25
- D. 6.25 Discuss
- 8. A man gained 10% by selling an article for a certain price. If the sells it at double the price, then the profit made is?
Options- A. 120%
- B. 20%
- C. 40%
- D. 100 Discuss
- 9. A radius of the base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface area of the cone is?
Options- A. 268 sq. cm
- B. 528 sq. cm
- C. 462 sq. cm
- D. 658 sq. cm Discuss
- 10. The total number of students in school is 2140. If the number of girls in the school is 1200, then what is the ratio of the total number of boy to the total number of girls in the school?
Options- A. 26 : 25
- B. 47 : 60
- C. 18 : 13
- D. 31 : 79 Discuss
More questions
Correct Answer: 4 :3
Explanation:
Ratio of area = a2/ ?(3/4) a2
= 4/?3 = 4:?3
Correct Answer: 0
Explanation:
? log tan 45 = log 1 = 0
Hence, Whole Expression = (something) x zero
Correct Answer: 12
Explanation:
Prime number less than 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
? The number of all prime numbers less than 40 = 12.
Correct Answer: 36 cm
Explanation:
Correct Answer: 34
Explanation:
Correct Answer: 25 12
Explanation:
Correct Answer: 0.25
Explanation:
(1/5 )3a = 0.008 = 8/1000 = 1/125 = (1/5 )3
Apply the Algebra Law and Solve the equation.
? 3a = 3
? a = 1
? ( 0.25 )a = ( 0.25 )1 = 0.25
Correct Answer: 120%
Explanation:
Let CP of the article be ? N
Then, SP = 110% of x = 1.1N
If SP be double i.e., 2.2N, then
Profit per cent= [(2.2N - N)/ N] x 100% = 120%
Correct Answer: 528 sq. cm
Explanation:
Curved surface area = ?rl
= (22/7 x 6 x 28) cm2
= 528 cm2
Correct Answer: 47 : 60
Explanation:
Number of boy = ( 2140 - 1200 ) = 940
? Boys : Girls = 940 : 1200 = 47 : 60
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