### Quant Quiz

Q.1 – 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 –

(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 |

Sol. (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

Q.2 – 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 –

(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 |

Sol. (2) –

4x – 3y = 12
2x + 3y = 30
Solving (I) and (II)/ (I) and (II) को हल करने पर,
x = 7
y =
x > y

Q.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 –

(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 |

Sol. (4) –

(I) 2x2 + 5x + 2 = 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 = 0
y (2y + 7) + 2 (2y + 7) = 0
(2y + 7) (y + 2) = 0
y =, y = –2
x > y

Q.4 – 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 –

(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 |

Sol. (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
(II) y2 – 48y + 576 = 0
y2 – 24y – 24y + 576 = 0
(y – 24)2 = 0
y = 24, 24
x < y

Q.5 – 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 –

(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 |

Sol. (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

Q.6 – What approximate value will come in place of question mark (?) in the following question?

निम्नलिखित प्रश्न में प्रश्नवाचक चिन्ह (?) के स्थान पर लगभग क्या मान आयेगा?

8724.997 × 3.987 ÷ 16.009 = ? + 821.44

(1) 1250

(2) 1190

(3) 1450

(4) 1200

(5) 1360

Sol. (5) –

8725 × 4 ÷ 16 – 821 = ?
2181.25 – 821 = ?
? = 1360.25 ≈ 1360

Q.7 – What approximate value will come in place of question mark (?) in the following question?

निम्नलिखित प्रश्न में प्रश्नवाचक चिन्ह (?) के स्थान पर लगभग क्या मान आयेगा?

(1) 95

(2) 108

(3) 130

(4) 100

(5) 125

Sol. (2) – 4 × 9 × 3 ≈ ?
? ≈ 108

Q.8 – What approximate value will come in place of question mark (?) in the following question?

निम्नलिखित प्रश्न में प्रश्नवाचक चिन्ह (?) के स्थान पर लगभग क्या मान आयेगा?

(1) 120

(2) 100

(3) 165

(4) 140

(5) 180

Sol. (4) –
? = 10.3×11.3 ×1.2
? ≈ 140

Q.9 – What approximate value will come in place of question mark (?) in the following question?

निम्नलिखित प्रश्न में प्रश्नवाचक चिन्ह (?) के स्थान पर लगभग क्या मान आयेगा?

(32.12)2 + (4.92)3 – (14.04)2 = ?

(1) 780

(2) 1150

(3) 950

(4) 800

(5) 1200

Sol. (3) –

1024 + 125 – 196 = ?
? = 1149 – 196
? = 953 ≈ 950

Q.10 – What approximate value will come in place of question mark (?) in the following question?

निम्नलिखित प्रश्न में प्रश्नवाचक चिन्ह (?) के स्थान पर लगभग क्या मान आयेगा?

(1) 1800

(2) 2200

(3) 1750

(4) 1920

(5) 2300

Sol. (4) –

56.5 × 37.4 – 95 = ?
2113.1 – 95 = ?
? = 1923.1 ≈ 1920

1. (4)

2. (2)

3. (4)

4. (1)

5. (4)

6. (5)

7. (2)

8. (4)

9. (3)

10. (4)

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