SSC Quantitative Aptitude LCM & HCF Question Bank

done LCM and HCF (II) Total Questions - 43

• question_answer1)
  Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size, which can be cut from these two lengths, will be [SSC CGL Tier II, 2017]
  A)
  0.13 m done clear
  B)
  0.4 m done clear
  C)
  0.3 m done clear
  D)
  0.41 m done clear
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• question_answer2)
  Three electronic devices make a beep after every 48 s, 72 s and 108 s, respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is [SSC CGL Tier II, 2017]
  A)
  10 : 07: 12 h done clear
  B)
  10 : 07 : 24 h done clear
  C)
  10 : 07 : 36 h done clear
  D)
  10 : 07 : 48 h done clear
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• question_answer3)
  The HCF and LCM of two numbers are 21 and 84, respectively. If the ratio of the two numbers is  1 : 4, then the larger of the two numbers is [SSC CGL Tier II, 2015]
  A)
  48 done clear
  B)
  12 done clear
  C)
  84 done clear
  D)
  108 done clear
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• question_answer4)
  Let x be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves no remainder. The sum of digits of x is [SSC CGL Tier II, 2015]
  A)
  21 done clear
  B)
  24 done clear
  C)
  22 done clear
  D)
  18 done clear
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• question_answer5)
  Find the least number which when divided separately by 15, 20, 36 and 48 leaves 3 as remainder in each case. [SSC CGL Tier II, 2014]
  A)
  183 done clear
  B)
  243 done clear
  C)
  483 done clear
  D)
  723 done clear
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• question_answer6)
  If the LCM and HCF of two expressions are \[\text{(}{{x}^{2}}+6x+8)\text{(}x+1)\] and \[(x+1)\] respectively and one of the expression is \[{{x}^{2}}+3x+2\] find the Other. [SSC CGL Tier II, 2014]
  A)
  \[{{x}^{2}}+5x+4\] done clear
  B)
  \[{{x}^{2}}-5x+4\] done clear
  C)
  \[{{x}^{2}}+4x+5\] done clear
  D)
  \[{{x}^{2}}-4x+5\] done clear
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• question_answer7)
  Three men step off together from the same spot. Their steps measures 63 cm, 70 cm and 77 cm respectively. The minimum distance each should rover so that all can cover the distance in complete steps is [SSC CGL Tier II, 2014]
  A)
  9630 cm done clear
  B)
  9360 cm done clear
  C)
  6930 cm done clear
  D)
  6950 cm done clear
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• question_answer8)
  Find the greatest number which will exactly divide 200 and 320 [SSC CGL Tier II, 2014]
  A)
  10 done clear
  B)
  20 done clear
  C)
  16 done clear
  D)
  40 done clear
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• question_answer9)
  Two 3 digit numbers have their HCF 29 and LCM 4147. The sum of the numbers is
  A)
  666 done clear
  B)
  669 done clear
  C)
  696 done clear
  D)
  966 done clear
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• question_answer10)
  The ratio between two numbers is 2 : 3. If their LCM is 150, then the numbers are
  A)
  30, 40 done clear
  B)
  48, 64 done clear
  C)
  50, 75 done clear
  D)
  None of these done clear
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• question_answer11)
  If the students of 9th class are arranged in rows of 6, 8, 12 or 16, no student is left behind. Then, the possible number of Students in the class is
  A)
  60 done clear
  B)
  72 done clear
  C)
  80 done clear
  D)
  96 done clear
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• question_answer12)
  The greatest 4 digit number exactly divisible by 10, 15, 20 is
  A)
  9990 done clear
  B)
  9960 done clear
  C)
  9980 done clear
  D)
  9995 done clear
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• question_answer13)
  The product of two co-primes is 117. Their LCM should be
  A)
  1 done clear
  B)
  117 done clear
  C)
  equal to their HCM done clear
  D)
         Cannot be calculated done clear
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• question_answer14)
  Three numbers are in the ratio 3 : 4 : 5 and their LCM is 2400. Their HCF is
  A)
  0 done clear
  B)
  80 done clear
  C)
  120 done clear
  D)
  200 done clear
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• question_answer15)
  The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils, is
  A)
  91 done clear
  B)
  910 done clear
  C)
  1001     done clear
  D)
  1911 done clear
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• question_answer16)
  The least number of square tiles required to pave the ceiling of a room 15 m 17 cm long and 9 m 2 cm broad, is
  A)
  656 done clear
  B)
  738 done clear
  C)
  814 done clear
  D)
  902 done clear
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• question_answer17)
  A bell rings every 5 min. A second bell rings every 6 min and if the two bells ring at the same time in the morning, then the next time they will ring together at
  A)
  8 : 30 o'clock done clear
  B)
  9 : 00 o'clock done clear
  C)
  10 : 00 o'clock done clear
  D)
  12 : 00 o'clock done clear
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• question_answer18)
  The traffic lights at three different road crossings change after every 48 s, 72 s and 108 s, respectively. If they all change simultaneously at 8:20 h, then at what time will they again change simultaneously?
  A)
  8 : 27: 12 h done clear
  B)
  8 : 27 : 24 h done clear
  C)
  8 : 27 : 36 h done clear
  D)
  8 : 27 : 48 h done clear
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• question_answer19)
  A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 s, B in 308 sand C in 198 s, all starting at the same point. After what time will they meet again at the starting point?
  A)
  26 min 18 s done clear
  B)
  42 min 36 s done clear
  C)
  46 min 12 s done clear
  D)
  45 min done clear
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• question_answer20)
  A, B and C go walking round a circle 1 km in circumference at the rates of 10 m/min, 20 m/min and 40 m/min, respectively. If they all start together and walk in the same direction, when will they be together at the same place?
  A)
  After 50 min done clear
  B)
  After 100 min done clear
  C)
  After 240 min done clear
  D)
  After 800 min done clear
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• question_answer21)
  Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stacks will be
  A)
  14 done clear
  B)
  21 done clear
  C)
  22 done clear
  D)
  48 done clear
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• question_answer22)
  The largest number which divides 77, 147 and 252 to leave the same remainder in each case is
  A)
  9 done clear
  B)
  15 done clear
  C)
  25 done clear
  D)
  35 done clear
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• question_answer23)
  The greatest number which can divide 1354, 1866 and 2762 leaving the same remainder 10 in each case, is
  A)
  64 done clear
  B)
  124 done clear
  C)
  156 done clear
  D)
  260 done clear
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• question_answer24)
  The greatest number of 5 digits, which is divisible by 15, 36, 21 is
  A)
  99459 done clear
  B)
  99540 done clear
  C)
  99979 done clear
  D)
  99999 done clear
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• question_answer25)
  Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13, respectively?
  A)
  15 done clear
  B)
  30 done clear
  C)
  45 done clear
  D)
  60 done clear
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• question_answer26)
  What is the least number which when divided by 12 leaves a remainder of 7; when divided by 15 leaves a remainder of 10 and when divided by 16 leaves a remainder of 11?
  A)
  115 done clear
  B)
  235 done clear
  C)
  247 done clear
  D)
  475 done clear
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• question_answer27)
  What is the least number which when diminished by 5, is divisible by each one of 21, 28, 36, 45?
  A)
  425 done clear
  B)
  1259 done clear
  C)
  1260 done clear
  D)
  1265 done clear
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• question_answer28)
  If three numbers are 2a, 5a and 7a, what will be their LCM?
  A)
  \[70a\] done clear
  B)
  \[65a\] done clear
  C)
  \[75a\] done clear
  D)
  \[70{{a}^{3}}\] done clear
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• question_answer29)
  Find the LCM of \[({{2}^{3}}\times 3\times {{5}^{2}}\times 7),\] \[({{2}^{4}}\times {{3}^{2}}\times 5\times {{7}^{2}}\times 11)\] and \[(2\times 33\times 54).\]
  A)
  \[{{2}^{4}}\times {{3}^{3}}\times {{5}^{4}}\] done clear
  B)
  \[2\times 3\times 7\times 5\times 11\] done clear
  C)
  \[{{2}^{4}}\times {{3}^{3}}\times {{5}^{4}}\times {{7}^{2}}\times 11\] done clear
  D)
  \[{{2}^{4}}\times {{3}^{4}}\times {{5}^{4}}\times 7\] done clear
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• question_answer30)
  Find the HCF of 132, 204 and 228.
  A)
  12 done clear
  B)
  18 done clear
  C)
  6 done clear
  D)
  21 done clear
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• question_answer31)
  GCD or HCF of \[{{(a+b-c)}^{6}}\] and \[{{(a+b-c)}^{4}}\] is
  A)
  \[{{(a+b-c)}^{6}}\] done clear
  B)
  \[{{(a+b-c)}^{2}}\] done clear
  C)
  \[{{(a+b-c)}^{10}}\] done clear
  D)
  \[{{(a+b-c)}^{4}}\] done clear
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• question_answer32)
  Find the LCM of \[\frac{1}{3},\]\[\frac{2}{9},\]\[\frac{5}{6}\] and \[\frac{4}{27}.\]
  A)
  \[\frac{1}{54}\] done clear
  B)
  \[\frac{10}{27}\] done clear
  C)
  \[\frac{20}{3}\] done clear
  D)
  \[\frac{3}{20}\] done clear
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• question_answer33)
  Find the LCM of \[({{x}^{4}}-1)\] and \[({{x}^{2}}-1)\]
  A)
  \[x-1\] done clear
  B)
  \[{{x}^{2}}-1\] done clear
  C)
  \[{{x}^{3}}-1\] done clear
  D)
  \[{{x}^{4}}-1\] done clear
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• question_answer34)
  Find the HCF of \[\frac{4}{5}\] and \[\frac{7}{15}.\]
  A)
  \[\frac{1}{13}\] done clear
  B)
  \[\frac{1}{5}\] done clear
  C)
  \[\frac{1}{15}\] done clear
  D)
  \[\frac{1}{25}\] done clear
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• question_answer35)
  The LCM of two numbers is 2376 while their HCF is 33. If one of the number is 297, then the other number is
  A)
  216 done clear
  B)
  264 done clear
  C)
  642 done clear
  D)
  792 done clear
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• question_answer36)
  If HCF of two numbers is 8, which of the following can never be their LCM?
  A)
  24 done clear
  B)
  48 done clear
  C)
  56 done clear
  D)
  60 done clear
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• question_answer37)
  The ratio of two numbers is 3 : 4 and their HCF is 4. What will be their LCM?
  A)
  12 done clear
  B)
  16 done clear
  C)
  24 done clear
  D)
  48 done clear
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• question_answer38)
  The HCF of three numbers is 23. If they are in the ratio of 1 : 2 : 3, then find the numbers.
  A)
  69, 15, 22 done clear
  B)
  23, 46, 69 done clear
  C)
  25, 31, 41 done clear
  D)
  23, 21, 35 done clear
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• question_answer39)
  The LCM of two numbers is 495 and their HCF is 5. If sum of the numbers is 100, then find the difference of the numbers.
  A)
  10 done clear
  B)
  46 done clear
  C)
  70 done clear
  D)
  90 done clear
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• question_answer40)
  The sum of two numbers is 1056 and their HCF is 66, find the number of such pairs.
  A)
  6 done clear
  B)
  2 done clear
  C)
  4 done clear
  D)
  8 done clear
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• question_answer41)
  Find the greatest number of 3 digits which when divided by 6, 9, 12 leaves 3 as remainder in each case.
  A)
  975 done clear
  B)
  996 done clear
  C)
  903 done clear
  D)
  939 done clear
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• question_answer42)
  Find the greatest number that divides 130, 305 and 245 leaving remainders 6, 9 and 17, respectively.
  A)
  4 done clear
  B)
  5 done clear
  C)
  14 done clear
  D)
  24 done clear
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• question_answer43)
  In a store, there are 345 L mustard oil, 120 L sunflower oil and 225 L soyabean oil. What will be the capacity of the largest container to measure the above three types of oil?
  A)
  8 L done clear
  B)
  20 L done clear
  C)
  23 L done clear
  D)
  15 L done clear
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