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Q.1. The area of a rhombus is 216 cm.2 and the length of its one diagonal is 24 cm. The side of the rhombus is (in cm)
एक समचतुर्भुज का क्षेत्रफल 216 सेमी.2 है और इसके एक विकर्ण की लम्बाई 24 सेमी. है | समचतुर्भुज की भुजा की लम्बाई है | (सेमी. में)
(A) 13
(B) 30
(C) 20
(D) 15
Q.2. If the total surface area of a hemisphere is 27p square units, then the diameter of the base of the hemisphere is
यदि एके अर्द्धगोले का सम्पूर्ण पृष्ठ क्षेत्रफल 27p वर्ग मात्रक है, तो अर्द्धगोले के आधार का व्यास है
(A) 
(B) 6
(C) 
(D) 18
Q.3. If q be an acute angle and 7sin2q + 3cos2q = 4, then the value of cotq
यदि q एक न्यूनकोण है और 7sin2q + 3cos2q = 4, तो cotq का मान है
(A) 
(B) 
(C) 1
(D) 0
Q.4. If profit percent is 170% of the cost price. If cost price is increased by 50%. Then what will be the profit percent?
यदि लाभ प्रतिशत क्रय मूल्य का 170% है। यदि क्रय मूल्य में 50% की वृद्धि की जाती है तो लाभ प्रतिशत क्या होगा?
(A) 125%
(B) 100%
(C) 80%
(D) 150%
Q.5. At what rate percent per annum will the simple interest on a sum of money be 
of the amount in 10 years?
of the amount in 10 years?
किस वार्षिक ब्याज की दर से एक धनराशि पर साधारण ब्याज 10 वर्षों में मिश्रधन का 
भाग हो जायेगा ?
भाग हो जायेगा ?
(A) 4%
(B) 6%
(C) 
(D) 
Q.6. What is the value of 
.
. 
का मान क्या है?
(A) p-5
(B) p5
(C) p
(D) p2
Q.7. In a division, the divisor is 10 times the quotient and 5 times the remainder value. If the remainder is 46, then what is the value of 25% of dividend?
एक भाग की प्रक्रिया में, भाजक, भागफल का 10 गुना है और शेषफल का 5 गुना है। यदि शेषफल 46 है, तो भाज्य के 25% का मान क्या है ?
(A) 1059
(B) 1076.5
(C) 1084.1
(D) 1334
Q.8. A number reduced by 45% becomes 165. What percent should it be increased, so that it becomes 450.
एक संख्या में 45% की कमी होने पर यह 165 हो जाती है। इसमें कितने प्रतिशत की वृद्धि करनी चाहिए कि यह 450 हो जाए?
(A) 40%
(B) 45%
(C) 50%
(D) 60%
Q.9. The mean value of 40 observations was formed to be 37.5 but later on it was detected that 77 was misread as 59. Find the correct mean.
40 प्रेक्षणों का औसत 37.5 प्राप्त किया गया लेकिन बाद में यह ज्ञात हुआ कि 77 को त्रुटिवश 59 पढ़ लिया गया। सही माध्य ज्ञात कीजिए।
(A) 37.75
(B) 37.95
(C) 37.85
(D) 38.25
Q.10. The number of diagonals of a regular polygon is 90. Then what is the number of sides in that polygon?
एक समबहुभुज में विकर्णों की संख्या 90 है तो बहुभुज में भुजाओं की संख्या क्या है ?
(A) 12
(B) 15
(C) 10
(D) 16
ANSWER KEY:
Q1. (D) Length of the other diagonal/दूसरे विकर्ण की लम्बाई = 
Side of the rhombus2/समचतुर्भुज की भुजा2 = 92 + 122 = 144 + 81 = 225
Side of the rhombus/समचतुर्भुज की भुजा = 15
Q2. (B) 3pr2 = 27p
r2 = 9
r = 3
Diameter of the hemisphere/अर्द्धगोले का व्यास = 6
Q3. (B) 7sin2q + 3cos2q = 4
7sin2q + 3cos2q = 4sin2q + 4cos2q
3sin2q = cos2q
tan2q = (1/3)
Q4. (C) Let C.P. = Rs. 100/माना क्रय मूल्य = 100 रू.
P% = 170%
S.P. = Rs. 270
C.P. = Rs. 150
P = (270-150) = 120
Q5. (C) Let P be the principal and R% is the rate of interest.
माना P मूलधन है और R% ब्याज की दर है ।
According to the question,
Q6. (D) 
Q7. (D) Remainder/शेषफल = 46
Divisor/ भाजक = 230
Quotient/भागफल = 23
Dividend/ भाज्य = 230 × 23 + 46 = 5336
25% of 5336/5336 का 25% = 1334
Q8. (C) (100 – 45) % = 165
55% = 165
100% = 
Increase percent/प्रतिशत वृद्धि = 
Q9. (B) Correct mean/सही माध्य = (40 × 37.5 – 59 + 77)/40
= (1500 – 59 + 77)/40
= 
= 37.95
= 37.95
Q10. (B) 
n2 – 3n – 180 = 0
n2 – 15n + 12n – 180 = 0
n (n – 15) + 12 (n – 15) = 0
n = 15
