Skip to main content

HCF AND LCM PRACTICE QUESTION



1. The smallest number, which when divided by 5, 10, 12 and 15, leaves remainder 2 in which case; but when divided  by 7 leaves no remainder, is
(1) 189
(2) 182
(3) 175
(4) 91
Ans. 2
2. What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ?
(1) 37
(2) 36
(3) 39
(4) 77
Ans. 3
3. The least number which when divided by 18, 27 and 36 separately leaves remainder 5, 14, and 23 respectively, is
(1) 95
(2) 113
(3) 149
(4) 77
Ans. 1
4. The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3 but when divided by 9 leaves no reamainder is
(1) 1677
(2) 1683
(3) 2523
(4) 3363
Ans. 2
5. The greatest number of four digits which when divided by 12, 16, and 24 leave remainder 2, 6 and 14 respectively is
(1) 9974
(2) 9970
(3) 9807
(4) 9998
Ans. 1
6. When a number is divided by 15, 20 or 35 each time the remainder is 8. Then the smallest number is
(1) 428
(2) 427
(3) 328
(4) 338
Ans. 1
7. The smallest number, which when divided by 12 or 10 or 8, leaves remainder 6 in each case, is
(1) 246
(2) 186
(3) 126
(4) 66
Ans. 3
8. The traffic lights at three different road crossing change after 24 seconds, 36 seconds and 54 seconds repectively. If they all change simultaneously at 10 : 15: 00 AM then at what time will they again change simultaneously ?
(1) 10 : 16 : 54 AM
(2) 10: 18 : 36 AM
(3) 10 : 17 : 02 AM
(4) 10 : 22 : 12 AM
Ans. 2
9. From a point on a circular track 5 km long A, B and C started running in the same direction at  the same time with speed of 2_1/2 km per hour, 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after
(1) 30 hours
(2) 6 hours
(3) 10 hours
(4) 15 hours
Ans. 3
10. Four runners started running simultaneously from a point  on a circular track. They took 200 seconds, 300 seconds, 360 seconds and 450 seconds to complete one round. After how much time do they meet at the starting point for the first time ?
(1) 1800 seconds
(2) 3600 seconds
(3) 2400 seconds
(4) 4800 seonds
Ans. 1
Labels:

Comments

Post a Comment

Popular posts from this blog

Top Current Affairs Questions 2024–2025 for RRB NTPC | Bilingual (Hindi + English) GK Quiz

  Current Affairs 2024–2025 – RRB NTPC ✍️ Bilingual (English + Hindi) Questions Q1. Who launched the ‘Viksit Krishi Sankalp Abhiyan’ in May 2025? เค•िเคธเคจे เคฎเคˆ 2025 เคฎें ‘เคตिเค•เคธिเคค เค•ृเคทि เคธंเค•เคฒ्เคช เค…เคญिเคฏाเคจ’ เคถुเคฐू เค•िเคฏा? A. Narendra Modi B. Shivraj Singh Chouhan ✅ C. Piyush Goyal D. Amit Shah Answer/เค‰เคค्เคคเคฐ: ✅ B. Shivraj Singh Chouhan Q2. Where was the 'Viksit Krishi Sankalp Abhiyan' launched? ‘เคตिเค•เคธिเคค เค•ृเคทि เคธंเค•เคฒ्เคช เค…เคญिเคฏाเคจ’ เค•เคนां เคธे เคถुเคฐू เค•िเคฏा เค—เคฏा? A. Varanasi B. Sakhigopal, Odisha ✅ C. Patna D. Bhopal Answer/เค‰เคค्เคคเคฐ: ✅ B. Sakhigopal, Odisha Q3. Jyothi Yarraji won gold in which event at Asian Athletics Championships 2025? เคœ्เคฏोเคคि เคฏाเคฐाเคœी เคจे เคเคถिเคฏเคจ เคเคฅเคฒेเคŸिเค•्เคธ เคšैंเคชिเคฏเคจเคถिเคช 2025 เคฎें เค•िเคธ เคธ्เคชเคฐ्เคงा เคฎें เคธ्เคตเคฐ्เคฃ เคชเคฆเค• เคœीเคคा? A. Long Jump B. 100-meter hurdles ✅ C. 400-meter race D. High Jump Answer/เค‰เคค्เคคเคฐ: ✅ B. 100-meter hurdles Q4. Avinash Sable won gold in which event at the 2025 Asian Athletics Championships? เค…เคตिเคจाเคถ เคธाเคฌเคฒे เคจे 2025 เคเคถिเคฏเคจ เคเคฅเคฒेเคŸिเค•्เคธ เคšैंเคชिเคฏเคจเคถिเคช เคฎें เค•िเคธ เคธ्เคชเคฐ्เคงा เคฎें เคธ्เคตเคฐ्เคฃ เคชเคฆเค• ...
Post a Comment
เคฌाเค•ी เคฆेเค–े

SSC GD HCF AND LCM PAST YEAR QUESTIONS WITH VIDEO SOLUTION | SSC GD 2026 PREPARATION

  Q1. English: 5 bells start ringing together at 9 AM. They ring at intervals of 12 sec, 18 sec, 24 sec, 36 sec and 45 sec. At what time will they ring together again? Hindi: 5 เค˜ंเคŸिเคฏाँ เคธुเคฌเคน 9 เคฌเคœे เคเค• เคธाเคฅ เคฌเคœเคจा เคถुเคฐू เค•เคฐเคคी เคนैं। เคตे เค•्เคฐเคฎเคถः 12, 18, 24, 36 เค”เคฐ 45 เคธेเค•ंเคก เค•े เค…ंเคคเคฐाเคฒ เคชเคฐ เคฌเคœเคคी เคนैं। เคตे เคฆोเคฌाเคฐा เคเค• เคธाเคฅ เค•เคฌ เคฌเคœेंเค—ी? Options: (a) 9:05 AM (b) 9:10 AM (c) 9:08 AM (d) 9:06 AM   Q2. English: The LCM of two numbers is 15 times their HCF. The sum of the LCM and HCF is 112. If one number is 49, find the other number. Hindi: เคฆो เคธंเค–्เคฏाเค“ं เค•ा LCM เค‰เคจเค•े HCF เค•ा 15 เค—ुเคจा เคนै। LCM เค”เคฐ HCF เค•ा เคฏोเค— 112 เคนै। เคฏเคฆि เคเค• เคธंเค–्เคฏा 49 เคนै, เคคो เคฆूเคธเคฐी เคธंเค–्เคฏा เคœ्เคžाเคค เค•ीเคœिเค। Options: (a) 21 (b) 24 (c) 18 (d) 15   Q3. English: In a circular race of 400 m, A and B start together at speeds of 10 m/s and 16 m/s. After how much time will they meet for the first time at the starting point while running in the same direction? Hindi: 400 เคฎीเคŸเคฐ เค•ी เคตृเคค्เคคाเค•ाเคฐ เคฆौเคก़ เคฎें A เค”เคฐ B เคเค• เคนी เคฌिंเคฆु เคธे 10 m/s เค”เคฐ 16 m/s ...
Post a Comment
เคฌाเค•ी เคฆेเค–े

Rigveda's Dialogue Hymn, Vishvamitra, and the Oral Tradition | SSC GK COURSE PART 17

  Rigveda's Dialogue Hymn, Vishvamitra, and the Oral Tradition ๐ŸŒ English Version: The Rigveda is not only the oldest Veda , composed over 3,500 years ago , but also a literary and spiritual marvel. Among its more than 1,000 hymns , there are several in the form of dialogues (known as suktas ). One such powerful and poetic hymn is a dialogue between Sage Vishvamitra and the two rivers Beas (Vipas) and Sutlej (Sutudri) . In this hymn, the rivers are worshipped as goddesses , highlighting the divine status nature held in early Vedic culture. Sage Vishvamitra speaks to the rivers, requesting them to grant him passage. The rivers respond with dignity and caution, showing that even natural forces were imagined to have voice, personality, and divine rights . This hymn illustrates how the Rigvedic people revered rivers and maintained a deep ecological and spiritual bond with nature. ๐Ÿ”น Oral Tradition of Rigveda: The Rigveda was not originally written . It was recited, heard...
Post a Comment
เคฌाเค•ी เคฆेเค–े