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The\: L.C.M \: of • Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

None of these

The number can be written as, 45/10, 9/1000, 9/50 LCM = LCM of Numerator/HCF of Denominator         = LCM of (45, 9, 9)/ HCF of (10, 1000, 50)         = 45/10 => 4.5
Greatest Number = HCF of [(215-167),(167-135),(215-135)]                              = HCF of (48, 32, 80) => 16

Find the greatest number of four digits which when divided by 10, 11, 15, and 22 leaves 3, 4, 8 and 15 as remainders respectively.

• Option 1) • Option 2) • Option 3) • Option 4)

9100

• Option 5) LCM of 10, 11, 15, 22 = 330 largest 4-digit number = 9999 Remainder when 9999/330 = 9900 to make it divisible by 330 9900-7 => 9893

Two numbers are in the ratio 17:13. If their HCF is 15, what are the numbers?

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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Numbers (17 x 15 & 13 x 15) = 255 & 195

On Ashok Marg three consecutive traffic lights change after 36, 42 and 72 seconds respectively. If the lights are first switched on at 9:00 A.M. sharp, at what time will they change simultaneously?

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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LCM of 36, 42, 72 = 504 seconds or 8 min 24 seconds Required Time = 9:00 + 8 min 24 seconds                            = 9: 08: 24

X, Y, Z start at the same time in the same direction to run around a circular stadium. X completes a round in 63 seconds, Y in 105 seconds and Z in 210 seconds. If they start at the same time, then at what time will they meet again at the starting point?

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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X = 63 Y = 105 Z = 210 LCM of X,Y & Z = 630 Seconds or 10 min & 30 seconds

Four different devices beep after every half hour, 60 min, 1 and half hours, and 135 min respectively. All the devices beeped together at 12 noon. They will beep together again at:

• Option 1)

12 Midnight

• Option 2)

6 AM

• Option 3)

9 PM

• Option 4)

7: 30 AM

• Option 5)

9 AM

A = 30 min B = 60 min C = 90 min D = 105 min LCM of ABCD = 1260 min or 21 hours Required Time = 12 Noon + 21 => 9AM

The least number which when divided by 5, 6, 7, and 8 leaves the remainder 3. But when divided by 9 leaves no remainder, is:

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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Find the least multiple of 23 which when divided by 24, 21, and 18 leaves the remainders 13, 10, and 7 respectively

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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The smallest number which when diminished by 5 becomes divisible by 12, 16, 18, 21, and 28

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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What will be the least number which when doubled becomes exactly divisible by 9, 15, 21, and 30?

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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The greatest number, which when divides 1358, 1870, and 2766 leaves the same remainder 14 in each case, is:

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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The greatest number, which when divides 1358, 1870, and 2766 leaves the same remainder 14 in each case, is:

Find the greatest number that will divide 48, 97 and 188 and leaves the reminder 6 in each case.

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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The greatest number that will divide 48, 97 and 188 and leaves the remainder 6 in each case is:

What is the maximum number of students among whom 1095 pens and 1168 pencils can be distributed in such a way that each student gets equal number of pens and equal number of pencils.

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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The greatest possible length which can be used to measure exactly the lengths: 20 m 6 cm, 11m 90 cm and 14 m 45 cm is:

• Option 1) • Option 2) • Option 3) • Option 4) • Option 5)

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