Railway Exams Math [ No. System ]

এই পর্বে আমরা Railway Exam এর জন্য বাছাই করা 29 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 Exams Math[ Railway NTPC, Rail Gr. D, JE, RPF etc]

1. Which of the following numbers is divisible completely by both 9 and 11 ? (1)277218 (2) 10098 (3) 12345 (4) 181998

2. Which of the following numbers is NOT divisible by 9? (1) 49104 (2) 77832 (3) 35253 (4) 45390

3. If 11-digit number 88p554085k6, k≠p, is divisible by 72, then what is the value of (3k + 2p)? (1) 12 (2) 7 (3) 13 (4)

4. Find the remainder, when 171 x 172 × 173 is divided by 17. (1) 9 (2) 8 (3) 6 (4) 7

5. When a number is divided by a divisor, the remainder is 16. When twice the original number is divided by the same divisor, the remainder is 3. Find the value of that divisor (1) 29 (2) 51 (3) 23 (4) 53

6. If the 8 digit number 3x5479y4 is divisible by 88 and the 8 digit number 425139z2 is divisible by 9, then find the maximum possible value of (3x+2y-z). (1) 33 (2) 37(3) 25 (4) 35

7. If the number 6484y6 is divisible by 8, then find the least value of y?

(1) 3 (2) 4 (3) 1 (4) 7

8. When a number n is divided by 5, the remainder is 2. When n is divided by 5, the remainder will be (1) 3· (2) 1 (3) 4 (4) 0

9. How many numbers of the first 100 positive integers are divisible by 3 or 4 without a remainder? (1) 50 (2) 5 (3) 58 (4) 85

10. If pq is a two-digit number, then pq – qp will be completely divisible by: (1) 9 (2) 7 (3) 6 (4) 5

11. If n is a natural number then n³-n is always divisible by........ (1) 8 (2) 6 (3) 5 (4) 4

12. Which of the following is the greatest three digit number that is divisible by 13? (1) 990 (2) 575 (3) 988 (4) 908

13. A number when divided by 7 leaves a remainder 4. What will be the remainder when the square of the same number is divided by 7?

(1) 2 (2) 4 (3) 1 (4) 3

14. The smallest positive number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is: (1) 307 (2) 132 (3) 306 (4) 176

15. In between 250-1000, how many numbers are completely divisible by 5, 6 & 7. (1) 5 (2) 7 (3) 6 (4) 3

16. How many numbers between 300 and 1000 are divisible by 7?

(1) 994 (2) 301 (3) 101 (4) 100

17. If 111 ..... 1 (n digits) is divisible by 9, then the least value of n is:

(1) 18 (2) 12 (3) 3 (4) 9

18. A number when divided by 280 leaves 73 as the remainder. When the same number is divided by 35, the remainder will be: (1) 4 (2) 2 (3) 3 (4) 7

19. N is a whole number which when, divided by 6 leaves the remainder 4. Find the remainder when 2N is divided by 6. (1) 4 (2) 8 (3) 2 (4) Zero

20. The least number that is divisible by all the numbers from 2 to 10 is-

(1) 2520 (2) 100 (3) 504 (4) 9

21. How many numbers greater than 2 and less than 30 are divisible by 1 and themselves (1) 9 (2) 29 (3) 27 (4) 11

22. What should be added to 135642 to get the largest six digit number? (1) 864350 (2) 863357 (3) 864357 (4) 864347

23. 3⁷¹+ 3⁷²+ 3⁷³ + 3⁷⁴ + 3⁷⁵ is divisible by (1) 8 (2) 5 (3) 11 (4) 7

24. A student divided a number by 12 instead of 21 and received 35. Find the correct answer. (1) 20 (2) 15 (3) 26 (4) 25

25. Find the least number to be added to 231228 to make it exactly divisible by 33. (1) 3 (2) 4 (3) 2 (4) 1

26. Find the remainder when 3¹⁰ is divided by 7 (1) 4 (2) 3 (3) 5 (4) 6

27. If 3x² + ax + 4 is a perfectly divisible by (x-5), then the value of ‘a’ is (1) -12 (2) -5 (3) -15.8 (4) – 15.6

28. The product of 4 consecutive numbers is always divisible by which of the following numbers? (1) 10 (2) 22 (3) 24 (4) 48

29. When the number (5)⁵⁰¹ is divided by 126 then the remainder will be?

(1) 117 (2) 121 (3) 89 (4) 125

Answers : (1) 2 (2) 4 (3) 3 (4) 3 (5) 1 (6) 1 (7) 3 (8) 3 (9) 1 (10) 1 (11) 2 (12) 3 (13) 1 (14) 2 (15) 4 (16) 4 (17) 4 (18) 3 (19) 3 (20) 1 (21) 1 (22) 3 (23) 3 (24) 1 (25) 3 (26) 1 (27) 4 (28) 3 (29) 4

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