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Q-(1-3) In each of the following question two equations are given you have to solve them and give answer.
निम्नलिखित प्रश्नों में दो समीकरण दिये गये हैं, आपको उन्हें हल करना है तथा उत्तर दीजिये –
Q-1 (I) x2
– x – 6 = 0
(II) y2
+ 7y + 10 = 0
(1) If/यदि x < y
(2) If/यदि x > y
(3) If/यदि x < y
(4) If/यदि x > y
(5) If x = y or no relation between x and y can be established/यदि x = y या x और y के मध्य कोई सम्बन्ध स्थापित नहीं किया जा सकता है |
Q-2 (I) 4x – 3y = 12
(II) 2x + 3y – 30 = 0
(1) If/यदि x < y
(2) If/यदि x > y
(3) If/यदि x < y
(4) If/यदि x > y
(5) If x = y or no relation between x and y can be established/यदि x = y या x और y के मध्य कोई सम्बन्ध स्थापित नहीं किया जा सकता है |
Q-3 (I) 2x2 + 5x + 2 = 0
(II) 2y2 + 11y + 14 = 0
(1) If/यदि x < y
(2) If/यदि x > y
(3) If/यदि x < y
(4) If/यदि x > y
(5) If x = y or no relation between x and y can be established/यदि x = y या x और y के मध्य कोई सम्बन्ध स्थापित नहीं किया जा सकता है |
Q-4 (I) x2 – 19x = – 88
(II) y2 – 48y + 576 = 0
(1) If/यदि x < y
(2) If/यदि x > y
(3) If/यदि x < y
(4) If/यदि x > y
(5) If x = y or no relation between x and y can be established/यदि x = y या x और y के मध्य कोई सम्बन्ध स्थापित नहीं किया जा सकता है |
Q-5 (I) x2 – 9x + 14 = 0
(II) y2 – y – 2 = 0
(1) If/यदि x < y
(2) If/यदि x > y
(3) If/यदि x < y
(4) If/यदि x > y
(5) If x = y or no relation between x and y can be established/यदि x = y या x और y के मध्य कोई सम्बन्ध स्थापित नहीं किया जा सकता है |
Q-(6-10) – What approximate value will come in place of question mark (?) in the following question?
निम्नलिखित प्रश्न में प्रश्नवाचक चिन्ह (?) के स्थान पर लगà¤à¤— क्या मान आयेगा?
Q-6 8724.997 × 3.987 ÷ 16.009 = ? + 821.44
(1) 1250
(2) 1190
(3) 1450
(4) 1200
(5) 1360
Q-7
(1) 95
(2) 108
(3) 130
(4) 100
(5) 125
Q-8
(1) 120
(2) 100
(3) 165
(4) 140
(5) 180
Q-9 (32.12)2 + (4.92)3
– (14.04)2 = ?
(1) 780
(2) 1150
(3) 950
(4) 800
(5) 1200
Q-10
(1) 1800
(2) 2200
(3) 1750
(4) 1920
(5) 2300
ANSWER KEY
Q1-(4)
(I) x2 – x
– 6 = 0
x2 – 3x + 2x – 6 = 0
x(x – 3) +2(x – 3) = 0
(x – 3) (x+2) = 0
x = 3, x = –2
(II) y2 + 7n + 10 = 0
y2 + 5n + 2y + 10 = 0
y(y + 5) + 2(y + 5) = 0
(y + 5) (y + 2) = 0
y = – 5, y = – 2
x > y
x2 – 3x + 2x – 6 = 0
x(x – 3) +2(x – 3) = 0
(x – 3) (x+2) = 0
x = 3, x = –2
(II) y2 + 7n + 10 = 0
y2 + 5n + 2y + 10 = 0
y(y + 5) + 2(y + 5) = 0
(y + 5) (y + 2) = 0
y = – 5, y = – 2
x > y
Q2-(2)
4x – 3y = 12
2x + 3y = 30
Solving (I) and (II)/ (I) and (II) को हल करने पर,
x = 7
y =
x > y
Q3-(4)
(I) 2x2 + 5x + 2 = 0
2x2 + 4x + x + 2 = 0
2x (x + 2) + 1(x + 2) = 0
(x + 2) (2x + 1) = 0
2x2 + 4x + x + 2 = 0
2x (x + 2) + 1(x + 2) = 0
(x + 2) (2x + 1) = 0
x = – 2, x =
(II)2y2 + 11y +
14 = 0
2y2 + 7y + 4y + 14 = 0y (2y + 7) + 2 (2y + 7) = 0
(2y + 7) (y + 2) = 0
y =, y = –2
Q4-(1) (I) x2 – 19x + 88 = 0
x2 – x (11 + 8) + 88 = 0
x2 – 11x – 8x + 88 = 0
x(x – 11) – 8(x – 11) = 0
(x – 11) (x – 8) = 0
x = 11, x = 8
x2 – 11x – 8x + 88 = 0
x(x – 11) – 8(x – 11) = 0
(x – 11) (x – 8) = 0
x = 11, x = 8
(II) y2 – 48y +
576 = 0
y2 – 24y – 24y + 576 = 0
(y – 24)2 = 0
y = 24, 24
x < y
y2 – 24y – 24y + 576 = 0
(y – 24)2 = 0
y = 24, 24
x < y
Q5-(4) (I) x2 –
9x + 14 = 0
x2 – x (7 + 2) + 14
= 0
x2 – 7x – 2x + 14 = 0
x(x – 7) – 2(x – 7) = 0
(x – 7) (x – 2) = 0
x = 7, x = 2
(II) y2 – y – 2 = 0
y2 – 2y + y – 2 = 0
y(y – 2) +1(y – 2) = 0
(y – 2) (y +1) = 0
y = 2, y = –1
x > y
x2 – 7x – 2x + 14 = 0
x(x – 7) – 2(x – 7) = 0
(x – 7) (x – 2) = 0
x = 7, x = 2
(II) y2 – y – 2 = 0
y2 – 2y + y – 2 = 0
y(y – 2) +1(y – 2) = 0
(y – 2) (y +1) = 0
y = 2, y = –1
x > y
Q6-(5)
8725 × 4 ÷ 16 – 821 = ?
2181.25 – 821 = ?
? = 1360.25 ≈ 1360
Q7-(2)
4 × 9 × 3 ≈ ?
? ≈ 108
Q8-(4)
? = 10.3×11.3 ×1.2
? ≈ 140
Q9-(3)
1024 + 125 – 196 = ?
? = 1149 – 196
? = 953 ≈ 950
Q10-(4)
56.5 × 37.4 – 95 = ?
2113.1 – 95 = ?
? = 1923.1 ≈ 1920