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Q.1. The sides of a triangle are in the ratio 3: 4: 5. If its perimeter is 36 cm then the area of the triangle is
एक त्रिभुज की भुजाओं में अनुपात 3: 4: 5 है | यदि इसका परिमाप 36 सेमी. है तो त्रिभुज का क्षेत्रफल है
(A) 54 sqm/वर्गमी.
(B) 56.5 sqm/वर्गमी.
(C) 57 sqm/वर्गमी.
(D) 57.5 sqm/वर्गमी.
Q.2. What will be perimeter of a semi-circle whose diameter is 35 cm?
उस अर्द्धवृत्त का परिमाप क्या होगा जिसका व्यास 35 सेमी. है ?
(A) 110
(B) 70
(C) 55
(D) 145
Q.3. The length of a rectangular park is three times that of its breadth. If the length of the diagonal is 
meter. Then what is its perimeter?
meter. Then what is its perimeter?
एक आयताकार पार्क की लम्बाई इसकी चौड़ाई की तीन गुनी है | यदि इसके विकर्ण की लम्बाई 
मीटर है | तो इसका परिमाप क्या है ?
मीटर है | तो इसका परिमाप क्या है ?
(A) 48
(B) 96
(C) 128
(D) 118
Q.4. An employee was asked to put some pens in each of 144 boxes, by mistake, he kept a pen low in each box and packed 168 boxes, tell how many pens were to be kept in each box.
एक कमचारी से कुछ पेनों को 144 बक्सों में प्रत्येक में रखने को कहा गया, गलती से उसने प्रत्येक बक्से में एक पेन कम रख दिया और 168 बक्से पैक कर दिए, तो बताइए प्रत्येक बक्से में कितने पेन रखे जाने थे ?
(A) 7
(B) 17
(C) 9
(D) 24
Q.5. The length of a diagonal of a rhombus is 24 cm. and area of its one of the triangle made by intersection of the diagonals is 30 sq. m. What is the semi – perimeter of the rhombus?
एक समभुज की विकर्ण लंबाई 24 सेमी है और विकर्णों के चौराहे द्वारा बनाई गई त्रिकोण में से एक का क्षेत्रफल 30 वर्ग मीटर है समभुज के अर्ध-परिधि क्या है?
(A) 52
(B) 56
(C) 64
(D) 60
Q.6. Raman got 30 kg of rice at Rs.18.50 per kg. And Rs.22.50 Per kg by buying at the rate of a mixture of both, the amount of rupees per kg that is now available to the mix. Sold at a rate of 25% profit?
रमण ने 30 किलो चावल 18.50 रु./प्रति किग्रा. की दर से तथा 22.50 रु. प्रति किग्रा. की दर से खरीद कर दोनों का मिश्रण बनाता है, अब वह मिश्रण को आसन्न्तः कितने रु.प्रति किग्रा. की दर से बेचे कि उसे 25% का लाभ हो?
(A) 20.125
(B) 21.5
(C) 20.5
(D) 22.125
Q.7. If 3p + 7 = p2 + N = 7p + 5, what is the value of P?
यदि 3p + 7 = p2 + N = 7p + 5, p का मान क्या है ?
(A) 
(B) 
(C) 
(D) 
Q.8. Consumption of Wheat and Rice in a family are more than the consumption of Sugar by 
% and 25% respectively. The consumption of Wheat is what percentage of consumption of Rice?
% and 25% respectively. The consumption of Wheat is what percentage of consumption of Rice?
एक परिवार में गेंहूँ और चावल की खपत चीनी की खपत से क्रमशः 
% और 25% अधिक है | गेंहूँ की खपत चावल की खपत का कितना प्रतिशत है ?
% और 25% अधिक है | गेंहूँ की खपत चावल की खपत का कितना प्रतिशत है ?
(A) 50%
(B) 40%
(C) 60%
(D) 90%
Q.9. The cost price of 20 articles is the same as the selling price of x articles. If there is 25% gain, then the value of x
20 वस्तुओं का क्रय मूल्य x वस्तुओं के विक्रय मूल्य के बराबर है | यदि 25% लाभ प्राप्त हो, x का मान है
(A) 15
(B) 16
(C) 18
(D) 25
Q.10. 10% loss on selling price is what percent loss on the cost price?
विक्रय मूल्य पर 10% की हानि क्रय मूल्य पर कितने प्रतिशत की हानि है ?
(A) 
(B) 
(C) 10%
(D) 11%
Answer key:
Q1. (A) 3 + 4 + 5 = 36
12 = 36
1 = 3
Sides/भुजाएं = 9, 12, 15
Area of the triangle/त्रिभुज का क्षेत्रफल = 
= 
= 54 sqm/वर्गमी.
= 54 sqm/वर्गमी.
Q2. (D) Perimeter of the semi – circle/ अर्द्धवृत्त का परिमाप = 
= 
= 145
= 145
Q3. (C) Length of the diagonal/विकर्ण की लम्बाई = 
= 2560 m./मी.
= 2560 m./मी.
According to the question/प्रश्नानुसार,
10x2 = 2560
x2 = 256
x = 16
Perimeter of the rectangle/आयत का परिमाप = (16 + 48) × 2 = 128
Q4. (A) According to question/प्रश्नानुसार,
144 × x = (x – 1) × 168
144x = 168x – 168
24x = 168
x = 7
Q5. (A) Area of the rhombus
= 4 × area of one of its triangle made by intersection of the diagonals
समचतुर्भुज का क्षेत्रफल = 4 × इसके विकर्ण के प्रतिच्छेदन से बने किसी एक त्रिभुज का क्षेत्रफल
Area of the rhombus/ समचतुर्भुज का क्षेत्रफल = 4 × 30 = 120
From the given information/दी गयी जानकारी से,
120 × 2 = 24 × d2
d2 = 10
Side of the rhombus/समचतुर्भुज की भुजा = 
Perimeter of the rhombus/समचतुर्भुज का परिमाप = 4 × 13 = 52
Q6. (C) Required price per kg. /प्रति किग्रा. अभीष्ट मूल्य = 
= 20.5
= 20.5
Q7. (B) 3p + 7 = 7p + 5
4p = 2
p = 
And/और 7p + 5 = p2 + N
= 
Q8. (D) Wheat/गेंहूँ = 9
Rice/चावल = 10
Sugar/चीनी = 8
Required/अभीष्ट % = 
= 90%
= 90%
Q9. (B) C.P: S.P. = 4: 5
Ratio between number of articles = 5: 4
According to the question/प्रश्नानुसार,
5 = 20
4 = 16
Hence/अतः, x = 16
Q10. (A) Let S.P./माना विक्रय मूल्य = Rs./रु.100
C.P./क्रय मूल्य = Rs./रु.110
Required/अभीष्ट % = 
= 
= 
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