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Q.1. Find the value of sin105o + cos105o.
sin105o + cos105o का मान ज्ञात कीजिये |
(A) 
(B) 
(C) 
(D) 
Q.2. Find the compound interest on Rs.51200 for 9 months at 15% per annum compounded quarterly.
तिमाही आधार पर 51200 रुपये पर 15% प्रतिवर्ष पर 9 महीनों के लिए चक्रवृद्धि ब्याज ज्ञात कीजिये ।
(A) Rs.5978.7
(B) Rs.5987.7
(C) Rs.5897.7
(D) Rs.5789.7
Q.3. Solve the equation: 4.9p – 1 = 3
समीकरण को हल कीजिये: 4.9p – 1= 3
(A) 3
(B) 
(C) 
(D) 
Q.4. The simple interest on a sum of certain principal is Rs.1200 in four years at the rate of 8% per annum. What would be the simple interest accrued on thrice of that principal at the rate of 6% per annum in 3 years?
एक निश्चित धनराशि पर चार वर्ष में 8% प्रति वर्ष की दर से 1200 रुपये साधारण ब्याज प्राप्त होता है। 3 वर्षों में 6% प्रति वर्ष की दर से उसी धनराशि के तीनगुने पर साधारण ब्याज क्या होगा?
(A) Rs.2025
(B) Rs.3025
(C) Rs.2250
(D) Rs.2150
Q.5. Driving at ¾ of his usual speed Chhavi is late by 1½ hours. What is usual time she takes for the journey?
अपनी सामान्य गति के ¾ पर ड्राइविंग करने पर छवि को 1½ घंटे देर हो जाती है | यात्रा के लिए उसके द्वारा लिया गया सामान्य समय क्या है?
(A) 4 hours/घंटे
(B) 4½ hours/घंटे
(C) 5 hours/घंटे
(D) 3 hours/घंटे
Q.6. Find sum of 
1 and 
4 of a quadrilateral if 
1 is half of 
2 and 
2 is 12o more than 
3 and 
3 is double of 
4.
1 and 4 of a quadrilateral if 1 is half of 2 and 2 is 12o more than 3 and 3 is double of 4.
एक चतुर्भुज के 
1 और 
4 का योग ज्ञात कीजिये यदि 
1, 
2 का आधा है और 
2, 
3 से 12o और 
3, 
4 का दोगुना है |
1 और 4 का योग ज्ञात कीजिये यदि 1, 2 का आधा है और 2, 3 से 12o और 3, 4 का दोगुना है |
(A) 183o
(B) 177o
(C) 118o
(D) 120o
Q.7. A cone and a hemisphere have equal bases and have equal volumes. The ratio of their heights is
एक शंकु और गोलार्द्ध के आधार समान हैं और उनके आयतन समान हैं | उनकी ऊँचाइयों में अनुपात है
(A) 3: 2
(B) 2: 1
(C) 3: 1
(D) 2: 3
Q.8. Samir's age is one – fourth of his father's age and two – third of his sister Reema's age. What is the ratio of the ages of the Samir, Reema and their father respectively?
समीर की उम्र उसके पिता की उम्र का एक चौथाई और उसकी बहन रीमा की उम्र का दो-तिहाई है। समीर, रीमा और उनके पिता की उम्र का अनुपात क्रमशः क्या है?
(A) 3: 2: 8
(B) 3: 4: 8
(C) 2: 3: 8
(D) 4: 3: 8
Q.9. Find the remainder when 550 is divided by 124.
550 को 124 से विभाजित करने पर शेषफल ज्ञात कीजिये |
(A) 25
(B) 20
(C) 15
(D) 10
Q.10. A and B can do work in 12 days .B and C in 15 days and C and A in 20 days. They all work together for 6 days and then A left. In how many more days can B and C finish the remaining work?
A और B काम को 12 दिनों में कर सकते है, A और C, 15 दिनों में तथा और C और A 20 दिनों में वे सभी एक साथ 6 दिन के लिए काम करते है, और तब A काम छोड़ देता है। B और C शेष काम को कितने और दिनों में पूरा करेगे?
(A) 4 days
(B) 5 days
(C) 6 days
(D) 7 days
Answer Key:
Q1. (B) sin105o + cos105o = sin (60 + 45)o + cos (60 + 45)o
= sin 60o cos 45o + cos 60o sin 45o + cos 60o cos 45o – sin 60o sin 45o
= 
= 
Q2. (A) C.I. = 
= Rs.5978.7
= Rs.5978.7
Q3. (D) 4.9p – 1 = 3
22. (32)p – 1= 3(22p + 1)1/2
22. 32p – 2 = 3. (22p + 1)1/2
From above, we get/ऊपर से, हम प्राप्त करते हैं
4 = 2p + 1, 2p – 2 = 1
p = 
, 
,
Q4. (A) P = 
= Rs.3750
= Rs.3750
S.I. = 
= Rs.2025
= Rs.2025
Q5. (B) Ratio between speeds/चालों में अनुपात = 3: 4
Ratio between time/समय में अनुपात = 4: 3
According to the question/प्रश्नानुसार,
1 = 1½ hours/घंटे
3 = 3 × 1½ hours = 4½ hours/घंटे
Q6. (D) 
1 = 
… (i)
1 = … (i)
2 = 
3 + 12o … (ii)
3 = 2
4 … (iii)
1 + 
2 + 
3 + 
4 = 360o … (iv)
On solving (i), (ii), (iii) and (iv), we get
1 + 
4 = 57o + 57o + 6o = 120o
Q7. (B) According to the question/प्रश्नानुसार,
h: r = 2: 1
Q8. (C) S: F = 1: 4 = 2: 8
S: R = 2: 3
S: R: F = 2: 3: 8
Q9. (A) Remainder on 
/
में शेषफल = Remainder on 
/
में शेषफल
/ में शेषफल = Remainder on / में शेषफल
= 1 × 25 = 25
Q10. (C) Work done by A, B and C in 1 day/ A, B और C का एक दिन का काम = 
For 6 days/ 6 दिनों के लिए = 
Remaining work/ शेष काम = 
B and C can do it/ B और C इसे करेंगें = 
× 15 = 6 days/दिन
× 15 = 6 days/दिन
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