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Q.(1–4): What will come in the place of question mark (?) in the following number series?
निम्न संख्या – श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या आयेगा?
Q.1 – 25 75 339 ? 13891 110567
(1) 1958
(2) 1985
(3) 1891
(4) 1567
(5) 75
Q.2 – 125 255 477 872 ? 2130
(1) 1125
(2) 1255
(3) 1477
(4) 1392
(5) 1320
Q.3 – 88 44 176 11 ?
(1) 2861
(2) 2866
(3) 2836
(4) 2876
(5) 2816
Q.4 – 14 15 20 ? 40.8 54.8
(1) 29
(2) 39
(3) 33
(4) 24
(5) 34.5
Q.5. – There are two numbers such that the sum of twice the first number and thrice the second number is 300 and the sum of thrice the first number and twice the second number is 265. What is the average of the smaller and the larger number?
दो संख्याएं ऐसी हैं कि पहली संख्या का दोगुना और दूसरी संख्या का तीन गुना 300 है और पहली संख्या का तीन गुना और दूसरी संख्या का दोगुना 265 है। बड़ी संख्या और छोटी संख्या का औसत कितना है?
(1) 56
(2) 56.5
(3) 58.5
(4) 54.5
(5) None of these/इनमें से कोई नहीं
Q.6. – The compound interest earned by Neetu on a certain amount at the end of two years at the rate of 8 p.c.p.a. was Rs.1414.40. What was the total amount that Neetu got back at the end of two years in the form of principal plus interest earned?
8 प्रतिशत वार्षिक ब्याज की दर से दो वर्ष के अंत में एक निश्चित राशि पर नीतू द्वारा अर्जित चक्रवृद्धि ब्याज 1414.40 रुपये था। मूलधन और ब्याज के योग के रूप में दो वर्ष के अंत में नीतू को वापस मिलने वाली कुल राशि क्या थी?
(1) Rs.9414.40
(2) Rs.9914.40
(3) Rs.9014.40
(4) Rs.8914.40
(5) None of these/इनमें से कोई नहीं
Q.(7 – 8): In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer
निम्नलिखित प्रश्नों में दो समीकरण I और II दी गयी हैं । आपको दोनों समीकरणों को हल करना होगा और उत्तर दीजिये
(1) If a > b
(2) If a ≥ b
(3) If a < b
(4) If a ≤ b
(5) If a = b or the relationship cannot be established.
Q.7. I. a2 – 4 = 0
II. b2 + 6b + 9 = 0
Q.8. I. b2 – 0.7b + 0.12 = 0
II. a2 + 0.1 × a –
0.12 = 0
Q.(9 – 10): What value will come in place of question mark (?) in the following questions?
निम्न प्रश्नों में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या मान आयेगा ?
Q.9. 
(1) 13848
(2) 13888
(3) 13884
(4) 14884
(5) None of these/इनमें से कोई नहीं
Q.10. (97)2 + 16480 ÷ 53 = 
(1) 2358.21
(2) 2385.20
(3) 2358.20
(4) 2538.21
(5) None of these/इनमें से कोई नहीं
ANSWER KEY:
Q1. (2). × 4 – 52, × 5 – 62,
× 6 – 72, × 7 – 82, × 8 – 92
Q2. (4). + {5(52 + 1)}, + {6(62 + 1)}, + {7(72 +
1)}, + {8(82 + 1)}, + {9(92 + 1)}
Q3. (5). × 0.5, ÷ 0.25, × 0.0625, ÷ 0.00390625
Q4. (2). ÷ 2 + (32 – 1), ÷ 3 + (42 – 1), ÷ 4
+ (52 – 1), ÷ 5 + (62 – 1), ÷ 6 + (72 – 1)
Q5. (2). Let first number be x and second number be y/माना पहली संख्या x तथा दूसरी संख्या y है।
According to the question/प्रश्नानुसार,
2x + 3y = 300 … (I)
and/और 3x + 2y = 265 … (II)
On solving (I) and (II), we get/ (I) और (II) को हल करने पर, हम प्राप्त करते हैं
x = 39, y = 74
अभीष्ट औसत = 56.5
Q6. (2). Let amount be Rs.100/माना धनराशि 100 रु. है ।
Compound interest for the first year/पहले वर्ष के लिए चक्रवृद्धि ब्याज = Rs.8
Compound interest for the second year/दूसरे वर्ष के लिए चक्रवृद्धि ब्याज = Rs.8 + Rs.0.64
Total compound interest/कुल चक्रवृद्धि ब्याज = Rs.16.64
According to the question/प्रश्नानुसार,
16.64 = 1414.40
1 = 85
100 = 8500
Total amount/कुल धनराशि = 8500 + 1414.40 = 9914.40
Q7. (1) I. a2 – 4 = 0
a2 = 4
a = + 2, - 2
II. b2 + 6b + 9 = 0
(b + 3)2 = 0
b = - 3, - 3
Hence, a > b
a = + 2, - 2
II. b2 + 6b + 9 = 0
(b + 3)2 = 0
b = - 3, - 3
Hence, a > b
Q8. (3) I. b2 – 0.7b + 0.12 = 0
b2 – 0.3b – 0.4b
+ 0.12 = 0
b (b – 0.3) – 0.4 (b – 0.3) = 0
(b – 0.3) (b – 0.4) = 0
b = 0.3, 0.4
II. a2 + 0.1 × a – 0.12 = 0
a2 + 0.4a – 0.3a – 0.12 = 0
a (a + 0.4) – 0.3 (a + 0.4) = 0
(a + 0.4) (a – 0.3) = 0
a = - 0.4, 0.3
Hence, a ≤ b
b (b – 0.3) – 0.4 (b – 0.3) = 0
(b – 0.3) (b – 0.4) = 0
b = 0.3, 0.4
II. a2 + 0.1 × a – 0.12 = 0
a2 + 0.4a – 0.3a – 0.12 = 0
a (a + 0.4) – 0.3 (a + 0.4) = 0
(a + 0.4) (a – 0.3) = 0
a = - 0.4, 0.3
Hence, a ≤ b
Q9. (3) 
? = 13884
Q10. (5) (97)2 + 16480 ÷ 53 = 
9409 + 131.84 = 4 × ?
? = 
= 2385.21
= 2385.21
