Railway Exam Maths| Number system

এই পর্বে আমরা Railway Exam এর জন্য বাছাই করা 21 টি No. System এর অঙ্কের প্রশ্ন উত্তর নিয়ে এসেছি। আজ প্রথম পর্ব। রেলের যে কোন পরীক্ষার জন্য [ Railway NTPC, Rail Gr. D, JE, RPF etc] সমানভাবে উপকারী। এই প্রশ্ন গুলির ভিডিও সমাধান পেতে আমার ইউ টিউব চ্যানেল @bengaliman সাবস্ক্রাইব করে রেখো। প্রশ্নের উত্তর আগে নিজে করো এবং এর PDF টি অবশ্যই সংগ্রহ করে নিও।

Railway Exam Maths| Number system

1. For any natural number n, 6ⁿ-5ⁿ always ends with (1) 7 (2) 1 (3) 5 (4) 3

2. What is the total number of odd and even divisors of 120, respectively? (1) 12,4 (2) 16,0 (3) 4,12 (4) 8,8

3. How many factors of 2⁷ x 3⁴ x 5³ x 7 are even? (1) 40 (2) 280 (3) 320 (4) 84

4. Find the sum of prime factors of 9⁶x 12⁴x 7⁷(1) 13 (2) 12 (3). 14 (4) 11

5. Find the digit in the unit's place of 124ⁿ + 124⁽ⁿ⁺¹⁾, where n is any whole number. (1) 4 (2) 8 (3) 2 (4) 0

6. What is the unit digit in the following product? 91x92x93x...........X99 (1) 2 (2) 1 (3) 4 (4) 0

7. Find the number of factors of 4200. (1) 48 (2) 56 (3) 64 (4) 46

8. If a positive number N, when divided by 5 leaves a remainder 3, then the unit’s place digit of N is (1) 0 or 5 (2) 0 or 2 (3) 3 or 8 (4) 1 or 5

9. How many of the factors of 256 are perfect squares? (1) 5 (2) 3 (3) 6 (4) 4

10. How many multiples of 2⁸ x 3² × 5³ × 7⁵ are even numbers? (1) 288 (2) 168 (3) 576 (4) 464

11. How many multiples of 2⁹ × 3⁵ ×5⁴ × 7⁶ are odd numbers? (1) 288 (2) 144 (3) 210 (4) 140

12. The smallest natural number, by which 216 should be multiplied, so that the number of factors of the product is odd? (1) 4 (2) 6 (3) 12 (4) 8

13. Calculate the total prime factors in the product of {(8)¹⁰ × (9)⁷×7⁸} (1) 45 (2) 54 (3) 52 (4). 65

14. Find the unit digit in the following (1234)¹⁰² + (1234)¹⁰³ (1) 2 (2) 4 (3) 0 (4) 1

15. Which is the smallest positive integer or natural number, when divides 1920 so that the number of factors of quotient is odd? (1) 40 (2) 10 (3) 20 (4) 30

16. How many factors of the number 2¹⁰ × 3⁶ × 5³ ×7⁵ are divisible by 2160? (1) 180 (2) 336 (3) 504 (4) 560

17. The face value of 8 in 758639 is (1) 8000 (2) 80 (3) 800 (4) 8

18. Find the difference of the place and face values of 6 in 516372 (1) 5998 (2) 6698 (3) 5394 (4) 5994

19. Find the sum of the place value and the face value of 7 in the number 53736. (1) 77 (2) 707 (3) 770 (4) 777

20. The difference between the place values of 2 and 3 in the number 128935 is: (1) 300 (2) 19970 (3) 20000 (4) 30

21. The digit of hundred's place value of 19! is: (1) 0 (2) 9 (3) 4 (4) 1

Answers : (1) 2 (2) 3 (3) 2 (4)2 (5) 4 (6) 4 (7) 1 (8) 3 (9) 1 (10) 3 (11) 3 (12) 2 (13) 3 (14) 3 (15) 4 (16) 3 (17) 4 (18) 4 (19) 2 (20) 2 (21) 1

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