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Q.1. What sum of money at compound interest will amount to Rs.22214.01 in 3 years if the rate of interest is 3% for the first year, 4% for the second year, and 5% for the third year?
चक्रवृद्धि ब्याज पर कितनी धनराशि 3 वर्ष में 22214.01 रुपये के मिश्रधन के समान हो जायेगी यदि ब्याज दर पहले वर्ष के लिए 3%, दूसरे वर्ष के लिए 4% और तीसरे वर्ष के लिए 5% है?
(A) 20000
(B) 20500
(C) 19750
(D) 18500
Q.2. The smallest side of a right angle triangle is 6 cm and second largest side is 8 cm. The side of a square is thrice the largest side of the triangle. What is the area of the square?
एक समकोण त्रिभुज की सबसे छोटी भुजा 6 सेमी और दूसरी सबसे बड़ी भुजा 8 सेमी है। एक वर्ग की भुजा त्रिभुज की सबसे बड़ी भुजा की तीन गुनी है। वर्ग का क्षेत्रफल क्या है?
(A) 724 cm.2
(B) 841 cm.2
(C) 900 cm.2
(D) 961 cm.2
Q.3. A shopkeeper bought an article marked at Rs.22800 at two successive discounts of 15% and 20%. He spent Rs.1064 on transportation and sold the article for Rs.20710. Then, what was the profit percentage of the shopkeeper?
एक दुकानदार ने रु.22800 अंकित मूल्य वाली एक वस्तु को क्रमशः दो क्रमागत 15% और 20% की छूटों पर खरीदा ? उसने 1064 रु. इसके परिवहन पर खर्च कर दिए और इसे 20710 रु. में बेचा | तो, दुकानदार द्वारा प्राप्त किया गया लाभ प्रतिशत है ?
(A) 25%
(B) 30%
(C) 35%
(D) 20%
Q.4. If perimeter of a square and rectangle is equal. If length and breadth of rectangle are 12 cm and 10 cm respectively. The area of square is what % more than that of rectangle?
एक वर्ग और आयत की परिधि समान है, यदि आयत 12 सेमी. लम्बा, 10 सेमी. चौड़ा है, तो वर्ग का क्षेत्रफल आयत के क्षेत्रफल से कितने % अधिक है?
(A) 
(B) 
(C) 1
(D) 
Q.5. If x = 
, the value of 
is
, the value of is
यदि x = 
, तो 
का मान है
, तो का मान है
(A) 
(B) 34
(C) 38
(D) 
Q.6. If a : b : c = (y – z) : (z – x) : (x – y) then the value of ax + by + cz is
यदि a : b : c = (y – z) : (z – x) : (x – y) तो ax + by + cz का मान है
(A) 1
(B) 3
(C) 0
(D) – 1
Q.7. In ΔABC, AD is drawn perpendicular from A on BC. If AD2= BD. CD, then ∠BAC is
ΔABC में, A से BC पर AD लम्बवत खींचा गया है। यदि AD2= BD.CD तो ∠BAC है
(A) 30o
(B) 45o
(C) 60o
(D) 90o
Q.8. Find the sum of 
and its reciprocal.
and its reciprocal.
और इसके व्युत्क्रम का योग ज्ञात कीजिये ।
(A) 34/15
(B) 41/20
(C) 29/10
(D) 31/10
Q.9. If / यदि tan θ = 
, then find the value of /तो 
का मान ज्ञात कीजिये?
, then find the value of /तो का मान ज्ञात कीजिये?
(A) 1/21
(B) 2/21
(C) 4/21
(D) 8/21
Q.10. The expression 
is equal to
is equal to
व्यंजक
बराबर है
बराबर है
(A) tan 33o cot 53o
(B) tan 53o cot 37o
(C) tan 33o cot 57o
(D) tan 57o cot 37o
Answer key:
Q1. (C). According to the question/प्रश्नानुसार,
P = 19750
Q2. (C) Longest side of the triangle/त्रिभुज की सबसे बड़ी भुजा = 
= 10 cm. /सेमी.
= 10 cm. /सेमी.
Side of the square/वर्ग की भुजा = 30 cm. /सेमी.
Area of the square/वर्ग का क्षेत्रफल = (30)2 = 900 cm. /सेमी.2
Q3. (A) Marked price of the article/वस्तु का अंकित मूल्य = Rs./रु.22800
Cost price of the article/वस्तु का क्रय मूल्य = 
= Rs.15504
Actual cost price/वास्तविक क्रय मूल्य = 15504 + 1064 = Rs.16568
Profit/लाभ % = 
Q4. (A) Perimeter of rectangle/आयत का परिमाप = 2(l + b) = 22 × 2 = 44
Perimeter of square/वर्ग का परिमाप = perimeter of rectangle/आयत का परिमाप = 44
Side of square/वर्ग की भुजा = 11
Area of square/वर्ग का क्षेत्रफल = 121
Area of rectangle/आयत का क्षेत्रफल = 12 × 10 = 120
Required/अभीष्ट % = 
Q5. (B) x = 
Q6. (C) ax + by + cz = x (y – z) + y (z – x) + z (x – y)
= xy – xz + yz – xy + zx – yz
= 0
Q7. (D)
AD2 = BD.CD
ABD 
ACD
∠BAD = ∠ACD
∠ABD = ∠CAD
∠BAD + ∠CAD + ∠ABD + ∠ACD = 180o
∠BAD + ∠CAD = 
= 90o
= 90o
Q8. (A) 
Required sum/अभीष्ट योग = 
= 34/15
= 34/15
Q9. (A) 
= 
Q10. (D) 
= 
= 
= 
= tan 57o cot 37o
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