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Q.1. If a = 
, then a2 – 4a + 2 = ?
, then a2 – 4a + 2 = ?
यदि a = 
, तो a2 – 4a + 2 = ?
, तो a2 – 4a + 2 = ?
(A) 0
(B) 1
(C) – 1
(D) 2
Q.2. If p2 + q2 + 2p + 1 = 0, then the
value of p41 + q45 is
यदि p2
+ q2 + 2p + 1 = 0, तो p41 + q45
का मान है
(A) 0
(B) 1
(C) – 1
(D) 2
Q.3. If x2 + y2 + 2y + 4x + 5 = 0 then what is the value of 
?
?
यदि x2 + y2 + 2y + 4x + 5 = 0 तो 
का मान क्या है?
का मान क्या है?
(A) 3
(B) – 3
(C) 
(D) 
Q.4. If x = 3 + 2
then the value of 
is
then the value of is
यदि x = 3 + 2
तो 
का मान है
तो का मान है
(A) 3
(B) 2
(C) 2
(D) 3
Q.5. Five years hence father's age will be three times the age of his son. Five years ago, father was seven times as old as his son. Find the present age of his son.
पाँच वर्ष बाद पिता की आयु अपने पुत्र की आयु से तीन गुनी होगी। पाँच वर्ष पहले पिता की आयु अपने पुत्र की आयु से सात गुना थी। उसके पुत्र की वर्तमान आयु ज्ञात कीजिए।
(A) 10 years/ वर्ष
(B) 12 years/ वर्ष
(C) 16 years/ वर्ष
(D) 20 years/ वर्ष
Q.6. A man starts his job with a certain monthly salary and earns a fixed increment every years. If his salary was Rs 1500 after 4 years of service and Rs 1800 after 10 years of service, what is the annual increment?
एक आदमी किसी निश्चित मासिक वेतन से अपनी नौकरी प्रारम्भ करता है और एक नियत वार्षिक वेतन वृद्धि प्राप्त करता है। यदि चार वर्ष पश्चात् उसका वेतन 1500 रू. था, और 10 वर्ष पश्चात 1800 रू. था, वार्षिक वेतन वृद्धि क्या है ?
(A) Rs. / रु. 50
(B) Rs. / रु.100
(C) Rs. / रु.150
(D) Rs. / रु.125
Q.7. In a ΔABC, ∠C = 3 ∠B = 2 (∠A + ∠B) then find the biggest angle.
एक ΔABC में, ∠C = 3 ∠B = 2 (∠A + ∠B), तो सबसे बड़ा कोण ज्ञात कीजिए।
(A) 1350
(B) 950
(C) 1100
(D) 1200
Q.8. In Δ ABC, DE || BC and AD: DB = 3: 5, if AC = 5.6 units, then find AE.
ΔABC में, DE || BC और AD: DB = 3: 5, यदि AC = 5.6 इकाई, तो AE ज्ञात कीजिए।
(A) 4.2 units/इकाई
(B) 2.1 units/इकाई
(C) 3.2 units/इकाई
(D) 4 units/इकाई
Q.9. In Δ ABC, AD is the bisector of ∠ A. If BD = 4 units, DC = 3 units and AB = 6 units, determine AC.
Δ ABC में, AD ∠A का समद्विभाजक है । यदि BD = 4 इकाई, DC = 3 इकाई, और AB = 6 इकाई, AC ज्ञात कीजिए।
(A) 2.1 units/इकाई
(B) 3.5 units/इकाई
(C) 4.5 units/इकाई
(D) 3 units/इकाई
Q.10. Ram saves 20% of his salary but due to increase in price of commodities his expenses increase by 20%.Still he saves Rs 20.Find his salary?
राम अपने वेतन का 20% बचत कर लेता है लेकिन वस्तुओं के मूल्यों में वृद्धि के कारण उसका खर्चा 20% बढ़ जाता है। अब वह 20 रू. बचाता है। उसका वेतन ज्ञात कीजिए?
(A) Rs. /रु. 500
(B) Rs. /रु. 750
(C) Rs. /रु. 980
(D) Rs. /रु. 1080
Answer Key:
Q1. (B) a2 – 4a + 2 = (a – 2)2 – 2 = 
= 
= 
= 
= 
=
Q2. (C) p2 + q2 +
2p + 1 = 0
p2 + 2p + 1 + q2 =
0
(p + 1)2 + q2 = 0
p + 1 = 0
p = - 1
and/और q = 0
p31 + q35 = - 1
(p + 1)2 + q2 = 0
p + 1 = 0
p = - 1
and/और q = 0
p31 + q35 = - 1
Q3. (C) x2 + y2 + 2y + 4x + 5 = 0
x2 + y2
+ 2y + 4x + 4 + 1 = 0x2 + 4x + 4 + y2 + 2y + 1 = 0
(x + 2)2 + (y + 1)2 = 0
x = - 2, y = - 1
= 
= 
Q4. (B) x = 3 + 2
= 
= 
= 2
= 2
Q5. (A) Let the present age of father be x years and the present age of son be y years.
माना पिता की वर्तमान आयु x वर्ष है और बेटे की वर्तमान आयु y वर्ष है ।
Five year hence father's age/पांच वर्ष बाद, पिता की आयु = x + 5
and son's age/और पुत्र की आयु = y + 5
x + 5 = 3(y + 5)
x – 3y – 10 = 0 ---------- (I)
Five years ago father's age/पांच वर्ष पहले पिता की आयु = x – 5
and son's age/ और पुत्र की आयु = y – 5
(x – 5) = 7(y – 5)
x – 7y + 30 = 0 -------- (II)
on solving/हल करने पर
y = 10 and x = 40
Q6. (A) Let the starting salary of man be Rs x and the fixed increment be Rs y.
माना आदमी का प्रारम्भिक वेतन x रु. और निश्चित वृद्धि y रु. है ।
Salary after 4 years/4 वर्ष के बाद वेतन = (x + 4y)
x + 4y = 1500 ------- (I)
and salary after 10 years (x + 10y)/और 10 वर्ष के बाद वेतन (x + 10y) है ।
x + 10y = 1800 -------- (II)
on solving/हल करने पर
y = Rs. / रु.50
Q7. (D)
Q8. (B)
Q9. (C)
Q10. (A) Let Ram's salary be Rs x. /माना राम का वेतन x रु. है ।
Initial saving/प्रारम्भिक बचत = 0.20x
Initial expenses/प्रारम्भिक व्यय = x - 0.20x = 0.80x
Increase in expenditure/व्यय में वृद्धि = 0.20x × 0.80x = 0.16x
Final expenditure/अंतिम व्यय = 0.16x+ 0.80x = x = 0.96x
Final saving/अंतिम बचत = x-0.96x = 0.04x
0.04 x = 20
x = 
= 500
= 500
