Number of Zeros Questions with Solutions | Set 1 (Q1 to Q10)

This set contains Number of Zeros Questions with Solutions — Set 1 (Q1 to Q10) covering a mix of question types and difficulty levels — from basic to advanced — exactly as asked in real competitive exams.

Solutions are written in a simple, step-by-step notebook style for easy self-study and quick understanding. Each solution is broken down step by step so even the toughest question feels easy. These questions are hand-picked for students preparing for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and all campus placement aptitude tests. International students preparing for GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests will find these equally useful.

✏️ Attempt each question on your own first — then check the solution below.

1. Find the number of zeros at the end of the product:
7 × 11 × 5 × 9 × 3 × 2 × 12

2. Find the number of zeros at the end of the product:
14 × 53 × 64 × 60 × 50 × 48 × 770

3. Find the number of zeros at the end of product:
1 × 3 × 5 × 7 × 9 × 11 × ………….. × 199

4. Find the highest power of 5 in 854!

5. Find the highest power of 7 in 1280!

6. Find the highest power of smallest prime number that can be contained in:
1 × 2 × 3 × 4 × 5 × 6 × 7 × …………… × 222

7. Find the number of zeros at the end of 1000!

8. Find the number of zeros at the end of product:
1 × 3 × 5 × 7 × 9 × …………….. × 73 × 1024

9. Find the number of zeros at the end of the product:
1 × 2 × 3 × 4 × 5 × 6 × …………. × 73 × 1024

10. Find the number of zeros at the end of:
411  × 412 × 413 × …………… × 1230

1. Find the number of zeros at the end of the product:
7 × 11 × 5 × 9 × 3 × 2 × 12
Sol:
Number of 2 & 5 pairs = 1
∴ Number of zeros = 1     Answer

2. Find the number of zeros at the end of the product:
14 × 53 × 64 × 60 × 50 × 48 × 770
Sol:
14 = 2 × 7
53 ⟶ prime
64 = 2⁶
60 = 2² × 3 × 5
50 = 2 × 5 × 5
48 = 2⁴ × 3
770 = 2 × 5 × 7 × 11
By quick observation we can see that number of 5 are less than number of 2’s.
So count only number of 5 & that will be our answer.
∴ required answer = 4    Answer

3. Find the number of zeros at the end of product:
1 × 3 × 5 × 7 × 9 × 11 × ………….. × 199
Sol:
Since each term of the given product is odd number. So there will not be any ‘2’ in the given product.
Hence number of zeros = 0     Answer

4. Find the highest power of 5 in 854!
Sol:

5. Find the highest power of 7 in 1280!
Sol:

6. Find the highest power of smallest prime number that can be contained in:
1 × 2 × 3 × 4 × 5 × 6 × 7 × …………… × 222
Sol:
Given expression is equal to 222!

7. Find the number of zeros at the end of 1000!
Sol:

8. Find the number of zeros at the end of product:
1 × 3 × 5 × 7 × 9 × …………….. × 73 × 1024
Sol:
1024 = 2¹⁰ ⟵ No any power of 5
Power of 5 will come from 1 × 3 × 5 × 7 × ………. × 73

Since power of 5 i.e. 8 is less than power of 2 which is 10
∴ Number of zeros = 8    Answer

9. Find the number of zeros at the end of the product:
1 × 2 × 3 × 4 × 5 × 6 × …………. × 73 × 1024
Sol:
Product can be written as :
73! × 2¹⁰
So power of 5 comes from 73!

Since power of 2 which is 10 is less than power of 5 which is 16
∴ Number of zeros = 10      Answer

10. Find the number of zeros at the end of:
411  × 412 × 413 × …………… × 1230
Sol:
Given expression can be written as:
\(\frac{{(1 \times 2 \times 3 \times 4 \times ………. \times 410) \times (411 \times 412 \times 413 \times …………. \times 1230)}}{{(1 \times 2 \times 3 \times 4 \times ………… \times 410)}}\)
= \(\frac{{1230!}}{{410!}}\)
Now calculate number of zeros in 1230!

✅ Well done on completing Set 1!

Continue practising with Number of Zeros Questions 11 to 20 → Set 2 or revisit the Number of Zeros Concept Page to strengthen your formulas and tricks before moving ahead.

Consistent practice is the key to mastering number of zeros for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and international exams including GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests. Want to understand the concept better? Read about Trailing Zeros on Wikipedia before attempting the next set.

This page is part of our complete series of number of zeros questions with solutions for competitive exams — covering every question type from basic to advanced so you can build speed, accuracy and confidence. Practising these questions regularly will also strengthen your core number of zeros concept before your exam day.