SSC Number System Bilingual Test 1
Number System / संख्या प्रणाली practice from SSC Maths Selection Book 2025 — bilingual with timer, negative marking and explanations.
SSC Number System Bilingual Test 1
Chapter-wise bilingual Number System questions from SSC CGL, CHSL, CPO, GD, Delhi Police and Steno exams 2025. Solve at CBT pace with timer, negative marking and bilingual explanation review.
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Preview all 15 questions in SSC Number System Bilingual Test 1 (no login required)
- Quantitative Aptitude — Number System / संख्या प्रणाली
1. Find the remainder when 224 is divided by 11.
- A. 3
- B. 6
- C. 4 (Correct)
- D. 5
Explanation: 224 = 11 x 20 + 4, so the remainder is 4.
- Quantitative Aptitude — Number System / संख्या प्रणाली
2. Find the remainder when 89 is divided by 7.
- A. 7
- B. 5 (Correct)
- C. 6
- D. 4
Explanation: 89 = 7 x 12 + 5, so the remainder is 5.
- Quantitative Aptitude — Number System / संख्या प्रणाली
3. Find the remainder when 106 is divided by 8.
- A. 2 (Correct)
- B. 3
- C. 1
- D. 4
Explanation: 106 = 8 x 13 + 2, so the remainder is 2.
- Quantitative Aptitude — Number System / संख्या प्रणाली
4. A factory hired 9 workers and found that their average productivity per day was 42.75 units. Later, 3 more workers were hired. The average productivity of all 12 workers then became 45.5 units. However, one of the new 3 workers made 52.2 units daily, and another made 48.4 units daily. What is the daily productivity of the third new worker? एक कारिाने ने 9 मज़िूरों को काम पर रिा और पाया वक उनकी औित िैसनक उत्पािकता 42.75 यूसनट्ि थी। बाि में, 3 और मज़िूरों को काम पर रिा गया। िभी 12 मज़िूरों की औित उत्पािकता 45.5 यूसनट्ि हो गई। हालााँवक, नए 3 मज़िूरों में िे एक ने प्रततदिन 52.2 यूसनट्ि और िूिरे ने 48.4 यूसनट्ि उत्पािन वकया। तीिरे नए मज़िूर की िैसनक उत्पािकता क्या है?
- A. 59.35
- B. 60.65 (Correct)
- C. 61.75
- D. 63.25
Explanation: ATQ/ç'ukuqlkj 12 × 45.5 – 9 × 42.75 = 52.2 + 48.4 + x 546 – 384.75 = 161.25 = 100.6 + x
- Quantitative Aptitude — Number System / संख्या प्रणाली
5. When the numbers 7807, 8022 and 8667 were divided by the greatest number x, then the remainder in each case was the same. The sum of the digits of x is: िब संख्याओं 7807, 8022 और 8667 िो सबसे बडी संख्या x से िाग दिया िाता है, तो प्रत्येि स्थस्थतत में समान शेषफल बचता है। x िे अंिों िा योग ज्ञात िीजिए।
- A. 8 (Correct)
- B. 9
- C. 6
- D. 7
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (A) 8.
- Quantitative Aptitude — Number System / संख्या प्रणाली
6. The greatest number, which divides 1163 and 2214 to leave 15 and 82 respectively as remainders, is: वह बडी से बडी संख्या ज्ञात िीजिए, जिससे 1163 और 2214 िो िाग िेने पर क्रमशः 15 और 82 शेषफल प्राप्त हो।
- A. 173
- B. 169
- C. 159
- D. 164 (Correct)
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (D) 164.
- Quantitative Aptitude — Number System / संख्या प्रणाली
7. Determine the largest four-digit number that is exactly divisible by 15, 25, 40, and 75. चार अंिों िी सबसे बडी संख्या ज्ञात िीजिए िो 15, 25, 40 और 75 से पूणतः कविाज्य हो।
- A. 9600
- B. 9975
- C. 9999
- D. 9960 (Correct)
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (D) 9960.
- Quantitative Aptitude — Number System / संख्या प्रणाली
8. When 8, 16, 18, 20 and 25 divide the least number x, the remainder in each case is 3, but x is divisible by 7. What is the value of x? िब 8, 16, 18, 20 और 25 से सबसे छोटी संख्या x िो िाग दिया िाता है, तो प्रत्येि स्थस्थतत में शेषफल 3 होता है, लेकिन x, 7 से कविाज्य है। x िा मान कितना है?
- A. 7203
- B. 7302
- C. 7320
- D. 7023 (Correct)
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (D) 7023.
- Quantitative Aptitude — Number System / संख्या प्रणाली
9. The LCM of two numbers is 126 times their HCF. If their HCF is 7 and the difference between the two numbers is five times the HCF, then the sum of the two numbers is: िो संख्याओं िा LCM उनिे HCF िा 126 गुना है। यदि उनिा HCF, 7 है और िोनों संख्याओं िे बीच िा अंतर HCF िा पााँच गुना है, तो िोनों संख्याओं िा योग ज्ञात िीजिए।
- A. 611
- B. 218
- C. 161 (Correct)
- D. 116
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (C) 161.
- Quantitative Aptitude — Number System / संख्या प्रणाली
10. The LCM of 672 and 7056 is _____. 672 और 7056 िा LCM ज्ञात िीजिए।
- A. 14112 (Correct)
- B. 42336
- C. 28224
- D. 7056
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (A) 14112.
- Quantitative Aptitude — Number System / संख्या प्रणाली
11. The LCM of two numbers is 126 times their HCF. If their HCF is 7 and the difference between the two numbers is five times the HCF, then the product of the two numbers is: िो संख्याओं िा LCM उनिे HCF िा 126 गुना है। यदि उनिा HCF, 7 है और िोनों संख्याओं िे बीच िा अंतर HCF िा पााँच गुना है, तो िोनों संख्याओं िा गुणनफल ज्ञात िीजिए।
- A. 1476
- B. 6174 (Correct)
- C. 7164
- D. 6471
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (B) 6174.
- Quantitative Aptitude — Number System / संख्या प्रणाली
12. The product of two numbers is 1,48,176 and their LCM is 3,528. What is their HCF? िो संख्याओं िा गुणनफल 1,48,176 है तथा उनिे LCM िा मान 3,528 है। उनिा HCF ज्ञात िीजिए।
- A. 42 (Correct)
- B. 51
- C. 32
- D. 36
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (A) 42.
- Quantitative Aptitude — Number System / संख्या प्रणाली
13. The LCM of 42, 36, 312 and 126 is: 42, 36, 312 और 126 िा लघुत्तम समापवर्त यत (LCM) ज्ञात िीजिए।
- A. 6587
- B. 6616
- C. 6520
- D. 6552 (Correct)
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (D) 6552.
- Quantitative Aptitude — Number System / संख्या प्रणाली
14. The LCM of two numbers is 4158 and their HCF is 54. If one of the numbers is 378, what is the other number? िो संख्याओं िे LCM िा मान 4158 है तथा उनिे HCF िा मान 54 है। यदि उनमें से एि संख्या 378 है, तो िूसरी संख्या ज्ञात िीजिए।
- A. 495
- B. 398
- C. 594 (Correct)
- D. 459
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is (C) 594.
- Quantitative Aptitude — Number System / संख्या प्रणाली
15. The ratio of three numbers is 2: 5: 6, and their least common multiple (LCM) is 180 . Find the greatest common factor (HCF) of the numbers. तीन संख्याओं का अनुपात 2: 5: 6 है तथा उनका लघुत्तम समापवर्त्य (एल.सी.एम.) 180 है। संख्याओं का महत्तम समापवतयक (एच.सी.एफ.) ज्ञात कीजिए।
- A. 1 (Correct)
- B. 4
- C. 3
- D. 6
Explanation: Check divisibility rules, HCF/LCM, or prime factorization. The correct answer is option (?).