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Problems on LCM and HCF Aptitude Questions –
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Problems on LCM and HCF Formulas
H.C.F. = H.C.F. of Numerators/L.C.M. of Denominators
L.C.M. = L.C.M. of Numerators/H.C.F. of Denominators
Problems on LCM and HCF MCQ Quiz
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1. Greatest Common Divisor of two numbers is 8 while their Least Common Multiple is 144. Find the other number if one number is 16.
दो संख्याओं का महत्तम समापवर्तक 8 है जबकि उनका लघुतम समापवर्त्य 144 है। यदि एक संख्या 16 है तो दूसरी संख्या ज्ञात कीजिए।
a. 108
b. 96
c. 72
d. 36
Answer
2. LCM of two numbers is 138. But their GCD is 23. The numbers are in a ratio 1:6. Which is the largest number amongst the two?
दो संख्याओं का लघुत्तम समापवर्त्य 138 है। लेकिन उनका GCD 23 है। संख्याएँ 1:6 के अनुपात में हैं। दोनों में सबसे बड़ी संख्या कौन सी है?
a. 46
b. 138
c. 69
d. 23
Answer
b. 138
3. The least common multiple of two numbers is 168 and highest common factor of them is 12. If the difference between the numbers is 60, what is the sum of the numbers?
दो संख्याओं का लघुतम समापवर्त्य 168 है और उनमें से उच्चतम समापवर्तक 12 है। यदि संख्याओं का अंतर 60 है, तो संख्याओं का योग क्या है?
a. 108
b. 96
c. 122
d. 144
Answer
a. 108
4. If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?
यदि दो संख्याओं का लघुत्तम समापवर्तक 225 है और उच्चतम समापवर्तक 5 है, तो संख्याएँ ज्ञात कीजिए जब संख्याओं में से एक संख्या 25 है?
a. 75
b. 65
c. 15
d. 45
Answer
45
5. The greatest number of four digits which is divisible by 15, 25, 40, 75 is
चार अंकों की वह बड़ी से बड़ी संख्या जो 15, 25, 40, 75 से विभाज्य हो, है
-
a. 600
b. 9000
c. 9600
d. 9400
Answer
c. 9600
6. What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but which when divided by 13 leaves no remainder?
वह छोटी से छोटी संख्या कौन सी है जिसे 3, 5, 6, 8, 10 और 12 से विभाजित करने पर प्रत्येक स्थिति में 2 शेष बचता है लेकिन जिसे 13 से विभाजित करने पर कोई शेष नहीं बचता है?
a. 312
b. 962
c. 1586
d. 1562
Answer
c. 1586
7. When a number is divided by 893 the remainder is 193. What will be the remainder when it is divided by 47?
जब किसी संख्या को 893 से विभाजित किया जाता है तो शेषफल 193 आता है। जब इसे 47 से विभाजित किया जाता है तो शेषफल क्या होगा?
a. 19
b. 5
c. 33
d. 23
Answer
b. 5
8. The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs is
दो संख्याओं का योग 156 है और उनका म.स.प. 13 है। ऐसे संख्या युग्मों की संख्या है
a. 2
b. 5
c. 4
d. 3
Answer
a. 2
9. The L.C.M. of two numbers is 14560 and their H.C.F. is 13. If one of them is 416, the other is
एल.सी.एम. दो संख्याओं का 14560 है और उनका H.C.F. 13 है। यदि उनमें से एक 416 है, तो दूसरा है
a. 460
b. 455
c. 450
d. 445
Answer
b. 455
10. The greatest length of the scale that can measure exactly 30 cm, 90 cm, 1 m 20 cm and 1 m 35 cm lengths is
पैमाने की अधिकतम लंबाई जो ठीक 30 सेमी, 90 सेमी, 1 मीटर 20 सेमी और 1 मीटर 35 सेमी लंबाई माप सकती है
a. 5 cm
b. 10 cm
c. 15cm
d. 30 cm
Answer
c. 15cm
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