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In the RRB NTPC exam, out of 100 questions, 30 questions are asked from Elementary Mathematics in CBT 1 and 35 questions out of 120 in CBT 2. Out of these, 3-4 questions usually come from the Number System, which is the most important topic in advanced math. To help candidates prepare for this exam, we are providing RRB NTPC Number System questions and their solutions in a PDF format in this article. Practicing these questions regularly will help candidates perform well in the Math section of the RRB NTPC exam.

## RRB NTPC Number System Questions

The Number System topic includes various types of questions, such as divisibility rules, the remainder theorem, the number of factors, lowest common multiple (LCM) and highest common factor (HCF), calculations and simplifications, and surds and indices. When a topic has such a wide variety of questions, it becomes very important for candidates. To assist with your preparation, we are providing RRB NTPC Number System Questions that have been asked in previous year RRB NTPC Examination.

**Q1. The greatest number of four digits which is exactly divisible by 7, 14 and 21 is—**

(a) 9960

(b) 9985

(c) 9997

(d) 9996

**Q2. Find the last digit of the expression 13 + 23 + 33 + 43 + ……………. 1003.**

(a) 0

(b) 6

(c) 3

(d) 9

**Q3. The greatest number of 5 digits that is exactly divisible by 8, 12, 15 and 20 is –**

(a) 99950

(b) 99940

(c) 99980

(d) 99960

**Q4. If a 10-digit number 4523 y 1749 x is divisible by 72, then find the value of (5x- 4y)**

(a) 9

(b) 14

(c) 15

(d) 10

**Q5. A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been**

(a) 122

(b) 118

(c) 114

(d) 124

**Q6. When a ball bounces, it rises to 3/4 of the height from which it fell. If the ball is dropped from a height of 32m, how high will it rise at the third bounce?**

(a) 14.5 m

(b) 13.5 m

(c) 13 m

(d) none of these

**Q7. What is the remainder when [(1931) ^{221}]^{428} is divided by 1932 ?**

(a) 0

(b) 1

(c) 1930

(d) 1929

**Q8. If a 10-digit number 2622x1237y is divisible by 72, Find the value of 2x – y**

(a) 2

(b) 4

(c) 3

(d) 6

**Q9. When the integer n is divided by 14 the remainder is 2. What is the remainder when 3n is divided by 7?**

(a) 6

(b) 4

(c) 5

(d) 0

**Q10. Find the unit digit of 113×114×115×…..×123.**

(a) 6

(b) 8

(c) 4

(d) 0

**Q11. If roots of x² – 4x + a = 0 are equal, then a = ?**

(a) –8

(b) 4

(c) –4

(d) 8

**Q12. When the integer n is divided by 7, the remainder is 3. What is the remainder if 5n is divided by 7?**

(a) 0

(b) 3

(c) 2

(d) 1

**Q13. A number is first decreased by 10% and then increased by 10%. The number so obtained is 100 less than the original number. The original number is:**

(a) 100000

(b) 100

(c) 10000

(d) 1000

**Q14. The number 106974 is divisible by which of the single digit numbers:**

(a) 2, 3, 6 and 7 only

(b) 2, 3 and 7 only

(c) 2, 3 and 4 only

(d) 2 and 3 only

**Q15. The face value of the digit 6 in 16008 is:**

(a) 6

(b) 600

(c) 6000

(d) 60

**Q16. A is the largest four-digit number which when divided by 5, 6 and 7 gives remainder 1, 2 and 3 respectively. What is the product of the digit of A?**

(a) 2464

(b) 2576

(c) 2592

(d) 2494

**Q17. If k is a natural number then (5k² – 5k) is always divisible by?**

(a) 5 and 10 both

(b) 5 only

(c) 10 only

(d) 15 only

**Q18. If the 5-digit number 133xy is divisible by 3, 7 and 11, then what is the value of (5x + 8x)?**

(a) 109

(b) 120

(c) 182

(d) 162

**Q19. If the number 1981pq is divisible by 9, 11 and 13, then the possible values of p and q will be:**

(a) P = 4, q = 3

(b) P = 8, q = 0

(c) P = 2, q = 9

(d)P = 9, q = 8

**Q20. Find the smallest number given below, which is divisible by 3 but not a divisible by 9.**

(a) 320682

(b) 320684

(c) 321680

(d) 329868

## RRB NTPC Number System Question Solutions PDF

In the attached PDF, we have provided the solutions for the questions mentioned above. Candidates who face any difficulties while solving these questions can refer to the solutions in the PDF. However, it’s important for candidates to attempt all the questions themselves first. This practice will help you identify exactly where you might be making mistakes.

**Click Here to Download RRB NTPC Number System Question Solutions PDF**