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Q.1 - In how many ways the letters of the word 'AUTHENTIC' be arranged?
शब्द 'AUTHENTIC' के अक्षरों को कितने विभिन्न तरीकों से व्यवस्थित किया जा सकता है?
(1) 181440 (2) 184440 (3) 182440 (4) 178440 (5) 16800
Q.2 A certain sum of money at a certain rate doubles itself in 9 years, then in how many years it will become the same sum will be 5 times of itself?
एक निश्चित धनराशि निश्चित ब्याज की दर से 9 वर्ष में दोगुनी हो जाती है, तो वही राशि कितने वर्षों में स्वयं का 5 गुना हो जायेगी?
(1) 16 (2) 25 (3) 30 (4) 36 (5) 40
Q.3. A cube of side 12 cm. is cut into eight small cubes of equal volume. Find the ratio between the surface areas of the larger cube and each smaller cube?
एक 12 सेमी. भुजा के घन को 8 समान आयतन के छोटे घनों में काटा गया है। बड़े घन और प्रत्येक छोटे घन के पृष्ठीय क्षेत्रफल में अनुपात ज्ञात कीजिए।
(1) 4:1 (2) 2: 3 (3) 4: 3 (4) 4: 5 (5) 3: 5
Q.4.) The difference between the compound interest and the simple interest on a certain sum at 5% per annum for 2 years is Rs. 2.50. The sum is -
5% वार्षिक ब्याज की दर से 2 वर्ष का चक्रवृद्धि ब्याज और साधारण ब्याज में अन्तर रू. 2.50 है। धनराशि है-
(1) Rs. 2000 (2) Rs. 2500 (3) Rs. 1000 (4) Rs. 1500 (5) Rs. 1200
Q.5.) The product of two consecutive odd natural numbers is 56643. Which is the larger number?
दो क्रमागत विषम प्राकृतिक संख्याओं का गुणनफल 56643 है। बड़ी संख्या कौन सी है?
(1) 239 (2) 248 (3) 250 (4) 242 (5) 244
Q.6.) What will come in place of question mark (?) in the following number series?
निम्न दी गयी संख्या श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या आयेगा ?
25 29 38 ? 79 115
(1) 50 (2) 52 (3) 54 (4) 56 (5) 58
Q.7.) What will come in place of question mark (?) in the following number series?
निम्न दी गयी संख्या श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या आयेगा ?
11034 1835 372 ? 36 10
(1) 85 (2) 87 (3) 90 (4)91 (5) 92
Q.8.) What will come in place of question mark (?) in the following number series?
निम्न दी गयी संख्या श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या आयेगा ?
2 6 ? 72 293 1788
(1) 15 (2) 18 (3) 20 (4) 22 (5) 25
Q.9.) What will come in place of question mark (?) in the following number series?
निम्न दी गयी संख्या श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या आयेगा ?
? 28 42 64 98 148
(1) 15 (2) 18 (3)19 (4) 20 (5) 21
Q.10.) What will come in place of question mark (?) in the following number series?
निम्न दी गयी संख्या श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या आयेगा ?
? 48 96 240 720 2520
(1) 16 (2) 24 (3) 32 (4) 36 (5) 40
ANSWER KEY:
Q1. (1) Required number of ways/अभीष्ट प्रकारों की संख्या = 
= 181440
Q2. (4) Let required time be t2 years. /माना अभीष्ट समय t2 वर्ष है ।
t2 = 36 years/ वर्ष
Q3. (1) 8a3
= (12)3
8a3 = 1728a3 = 216
a = 6
Surface area of larger cube/बड़े घन का पृष्ठ क्षेत्रफल = 6(12)2 = 864
surface area of each smaller cube/छोटे घन का पृष्ठ क्षेत्रफल = 6(6)2 = 216
Required ratio/अभीष्ट क्षेत्रफल = 864: 216 = 4 : 1
Q4. (3)
Q5. (1) x(x + 2) = 56643
x2
+ 2x = 56643
x2 + 2x – 56643 = 0
x2 + 239x – 237x – 56643 = 0
x2 + 2x – 56643 = 0
x2 + 239x – 237x – 56643 = 0
x(x + 239) – 237(x + 239) = 0
x = 237 and – 239
Larger number/बड़ी संख्या = 237+2 = 239
Q6. (3)
Q7. (2)
Q8. (1)
Q9. (2)
Q10. (3)
