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?यदि x2 – 4x + 1 = 0, तो
का मान क्या है ? (A) 44
(B) 48
(C) 52
(D) 64
Q.2. Triangle ABC is right angled at A. AB = 3 units, AC = 4 units and AD is perpendicular to BC. What is the area of the triangle ADB?
त्रिभुज ABC में A पर समकोण है। AB = 3 इकाई, AC = 4 इकाई और AD भुजा BC पर लम्ब है। त्रिभुज ADB का क्षेत्रफल क्या है?
(A)
(B)
(C)
(D)
Q.3. If one man or two woman or three boys can do a piece of work in 55 days, then one man, one woman and one boy will do it in how many days?
यदि एक पुरूष अथवा दो स्त्रियां अथवा तीन बालक किसी कार्य को 55 दिनों में कर सकते हैं तो एक पुरूष, एक स्त्री और एक बालक इस कार्य को कितने दिनों में कर लेंगे?
(A) 20 days/दिन
(B) 30 days/दिन
(C) 40 days/दिन
(D) 50 days/दिन
Q.4. If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hrs. per day, in how many days will 16 pumps raise 1736 tonnes, working 9 hrs. per day?
यदि 18 नल 10 दिनों में प्रतिदिन 7 घंटे काम करके 2170 टन पानी उठा सकते है, तो कितने दिनों में 16 नल प्रतिदिन 9 घंटे काम करके 1736 टन पानी उठायेंगे?
(A) 6
(B) 7
(C) 8
(D) 9
Q.5. A man spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. His savings are increased by -
एक आदमी अपनी आय का 75% खर्च करता है। उसकी आय में 20% की वृद्धि होती है और उसके खर्च में 10% की, तो उसकी बचत में प्रतिशत वृद्धि हुई-
(A) 10%
(B) 25%
(C) 37.5%
(D) 50%
Q.6. Two trains starting at the same time from two stations 200 km. apart and going in opposite direction cross each other at a distance of 110 km. form one of them. The ratio of their speeds is -
दो ट्रेन एक ही समय पर 200 किमी. की दूरी पर दो स्टेशनों से विपरीत दिशा में चलना प्रारम्भ करती है। उसमें एक से 110 किमी. की दूरी पर एक दूसरे को पार करती है तो उनकी चालों का अनुपात क्या है?
(A) 11: 20
(B) 9: 20
(C) 11: 9
(D) 11: 10
Q.7. If x: y = 3: 4 then, 4x + 5y : 5x – 2y = ?
यदि x: y = 3: 4 तो 4x + 5y : 5x – 2y = ?
(A) 7: 32
(B) 32: 7
(C) 4: 3
(D) 5: 2
Q.8. If x =
then the value of 
यदि x =
तो
का मान होगा(A) 16
(B) 22
(C) 8
(D) 22
Q.9. If a2 + b2 +c2 + 3 = 2 (a + b -c) then value of
is-यदि a2 + b2 +c2 + 3 = 2 (a + b -c) तो
का मान है -(A) 2
(B) 1
(C) – 1
(D) – 2
Q.10. A and B can finish a work in 15 days B and C can finish the same work in 12 days and C and A in 20 days. If A, B and C start working alternately starting with A then in how many days work will finish?
A व B किसी काम को 15 दिन में पूरा करते हैं B व C उसी काम को 12 दिन और C व A को 28 दिन में पूर्ण करते हैं। पहले A फिर B इसके बाद ब् इस कार्य को पूर्ण करें तो बताओ कितने दिन में पूरा होगा?
(A) 5 days/दिन
(B) 10 days/दिन
(C) 15 days/दिन
(D) 30 days/दिन
Answers:
1. Sol. (C)
2. Sol. (B)
(3) 2 – (x) 2 = (4) 2 – (5 – x) 2
9 – x2 = 16 – 25 – x2 + 10x
x = 1.8
AD =
= 2.4
Area of
ADB/ADB का क्षेत्रफल = 
sq. unit/वर्ग इकाई3. Sol. (B) 1 M = 2W = 3 B
1 M + 1 W + 1 B =
Let required number of days be x/माना अभीष्ट दिनों की संख्या x है |
4. Sol. (B) Let number of days be x/माना दिनों की संख्या x है |
days/दिन 5. Sol. (D) Let income/माना आय = 100
Then expenditure/तो व्यय = 75
New income/नयी आय = 120
New expenditure/नया व्यय =
New savings/नयी बचत =
6. Sol. (C) Let their speeds be x kmph and y kmph/माना उनकी चाल x किमी./घंटा और y किमी./घंटा है |
Then/तो,
7. Sol. (B)
8. Sol. (D) x =
9. Sol. (D) a2 + b2 + c2 +3 = 2 (a+ b-c)
(a2 – 2a + 1) + (b2 – 2b + 1) + (c2 + 2c + 1) = 0
a = 1, b = 1, c = -1
10. Sol. (D) A + B ...15 4 units/day/इकाई/दिन
B + C ...12 [L.C.M. of 15, 12 and 20 days = 60] 5 units/day/इकाई/दिन
C + A ...20 3 units/day/इकाई/दिन
According to the question/प्रश्नानुसार,
C = 2 units/day/इकाई/दिन, A = 1 unit/day/इकाई/दिन, B = 3 units/day/इकाई/दिन
Work done in 3 days/3 दिन में किया गया कार्य = 6 units/day/इकाई/दिन
Required time/अभीष्ट समय = (60/6) × 3 = 30 days/दिन
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