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Q. 1. The average of eight numbers is 20. If the sum of the first two numbers is 31, the average of the next three numbers is 
and the seventh and eight numbers exceed the sixth number by 4 and 7 respectively, then the eighth number is
and the seventh and eight numbers exceed the sixth number by 4 and 7 respectively, then the eighth number is
आठ संख्याओं का औसत 20 है | यदि पहली दो संख्याओं का योग 31 है और अगली तीन संख्याओं का औसत 
है और सातवीं और आठवीं संख्या छठी संख्या से क्रमशः 4 और 7 अधिक है तो आठवीं संख्या है
है और सातवीं और आठवीं संख्या छठी संख्या से क्रमशः 4 और 7 अधिक है तो आठवीं संख्या है
(A) 20
(B) 25
(C) 21.6
(D) 25.3
Q. 2. If A + B + C = 180o then tan A + tan B + tan C is equal to
यदि A + B + C = 180o तो tan A + tan B + tan C बराबर है
(A) 2 tan A tan B tan C
(B) tan A tan B tan C
(C) cot A cot B cot C
(D) – tan A tan B tan C
Q. 3. A sphere of diameter 6 cm is dropped in a right circular cylindrical vessel partly filled with water. The diameter of the cylindrical vessel is 12 cm. If the sphere is just completely submerged in water, then the rise of water level in the cylindrical vessel is
6 सेमी. व्यास वाले एक गोले को अंशतः पानी से भरे हुए एक लम्बवृत्तीय बेलनाकार पात्र में गिरा दिया जाता है | बेलनाकार बर्तन का व्यास 12 सेमी है | यदि गोले को पूरी तरह से पानी में डूबा दिया जाय, तो बेलनाकार बर्तन में जल – स्तर की वृद्धि है
(A) 2 cm. /सेमी.
(B) 3 cm. /सेमी.
(C) 1 cm. /सेमी.
(D) 4 cm. /सेमी.
Q. 4. If the compound interest on a certain sum for two years at 12% per annum is Rs.2544, the simple interest on it at the same rate for 2 years will be
एक निश्चित धनराशि पर 12% वार्षिक ब्याज की दर से 2 वर्षों में चक्रवृद्धि ब्याज 2544 रु. प्राप्त होता है | तो इसी धनराशि पर 2 वर्षों में साधारण ब्याज प्राप्त किया जायेगा |
(A) Rs. /रु.2400
(B) Rs. /रु.2500
(C) Rs. /रु.2480
(D) Rs. /रु.2440
Q. 5. 
is divisible by
is divisible by
विभाजित है
(A) 17
(B) 337
(C) 347
(D) 267
Q. 6. If 
then what is the value of 
.
then what is the value of .
यदि 
तो 
का मान क्या है?
तो का मान क्या है?
(A) 
(B) 
(C) 
(D) 
Q. 7. What is the value of 
?
?
का मान क्या है ?
(A) 0
(B) 1
(C) – 1
(D) 2
Q. 8. If 
, then what is the value of 
?
, then what is the value of ?
यदि 
, तो 
का मान क्या है ?
, तो का मान क्या है ?
(A) – 3
(B) 0
(C) 15
(D) 21
Q. 9. If m2 – 
m + 1 = 0, then what is the value of 
?
m + 1 = 0, then what is the value of ?
यदि m2 – 
m + 1 = 0, तो 
का मान क्या है ?
m + 1 = 0, तो का मान क्या है ?
(A) 
(B) 
(C) 
(D) 
Q. 10. What will be the amount on Rs.36000 at the rate of 20% per annum compounded annually for 4 years?
36000 रु. की धनराशि पर 20% वार्षिक चक्रवृद्धि ब्याज की दर से 4 वर्षों में कितना मिश्रधन होगा ?
(A) Rs. /रु.74649.6
(B) Rs. /रु.72349.6
(C) Rs. /रु.70649.6
(D) Rs. /रु.68849.6
Answer key:
Q1. (B) Eighth number/ आठवीं संख्या + Seventh number/ सातवीं संख्या + Sixth number/ छठी संख्या
= 8 × 20 – 31 – 64
x + 4 + x + 7 + x = 65
3x = 54
x = 18
Eighth number/ आठवीं संख्या = 18 + 7 = 25
Q2. (B) A + B + C = 180o
Now/अब, tan (A + B) = tan(180o – C)
= – tan C
tan A + tan B = – tan C + tan A tan B tan C
tan A + tan B + tan C = tan A tan B tan C
Q3. (C) According to the question/प्रश्नानुसार,
Q4. (A) 
P = 10000
Required S.I./अभीष्ट साधारण ब्याज = 
= 2400
= 2400
Q5. (B) 
So, 
is divisible by 337/अतः 
, 337 से विभाजित है ।
is divisible by 337/अतः , 337 से विभाजित है ।
Q6. (C) 
then/तो 
then/तो
Now/अब, 
= 
=
= 
= 
= 
Q7. (D) 
= 2
Q8. (C) 
= 15
Q9. (B) m2 - 
m + 1 = 0
m + 1 = 0
On dividing above equation by m, we get/ऊपर दी गयी समीकरण को m से भाग करने पर, हम प्राप्त करते हैं
m - 
+ 
= 0
+ = 0
We know that/हम जानते हैं कि
40 - 
Q10. (a) Amount after 4 years/4 वर्ष के बाद मिश्रधन = 
= 
= 
= Rs. /रु.74649.6
= Rs. /रु.74649.6
