Q.1
A milk vendor has 21 litres of cow milk, 42 litres of toned milk and 63 litres of double toned milk. If he wants to pack them in cans, so that each can contains same litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required is = ?
Q.2
The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively ?
Q.3
If r is the remainder when each of 7654, 8506, and 9997 is divided by the greatest number d (d > 1) then d - r is equal to = ?
Q.4
Let N be the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder in each case. Then sum of the digits in N is = ?
Q.5
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Q.6
A fraction becomes $$\frac{1}{6}$$ when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes $$\frac{1}{3}$$. Then, the LCM of the numerator and denominator of the said fraction, must be = ?
Q.7
Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut ?
Q.8
Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is = ?
Q.9
84 Maths books, 90 Physics books, 120 Chemistry books have to be stacked topicwise. How many books will be there in each stack so that each stack will have the same height too ?
Q.10
The greatest number that will divide 729 and 901 leaving remainder 9 and 5 respectively is = ?
Q.11
The traffic lights at three different road crossings change after 24 seconds, 36 seconds, and 54 seconds respectively. If they all change simultaneously at 10:15:00 AM, then at what time will they again change simultaneously ?
Q.12
The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pair is = ?
Q.13
The LCM of two numbers is 520 and their HCF is 4. If one of the numbers is 52, then the other number is = ?
Q.14
The greatest number for four digits which when divided by 12, 16 and 24 leave remainder 2,6 and 14 respectively is = ?
Q.15
Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2028. The sum of the numbers is = ?
Q.16
Sum of two numbers is 384. HCF of the numbers is 48. The difference of the numbers is = ?
Q.17
The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93, find the other = ?
Q.18
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 ?
Q.19
The HCF and LCM of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is = ?
Q.20
A person has to completely put each of three liquids: 403 litres of petrol, 465 litres of diesel and 496 litres of Mobil Oil in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required ?
Q.21
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 = ?
Q.22
The least number of square tiles required to pave the ceiling of a room 15m 17cm long and 9m 2cm broad is = ?
Q.23
The capacity of two pots is 120 litres and 56 litres respectively. Find the capacity of a container which can exactly measure the contents of the two pots = ?
Q.24
A daily wage labourer was engaged for a certain number of days for Rs. 5750, but being absent on some of those days he was paid only Rs. 5000. What was his maximum possible daily wage ?
Q.25
The product of two numbers is 2028 and their HCF is 13. The number of such of pair is = ?
Q.26
The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300 , the two numbers are ?
Q.27
The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is ?
Q.28
The smallest number, which when increased by 5 is divisible by each of 24, 32, 36 and 64 is ?
Q.29
The LCM of two numbers is 44 times of their of HCF. The sum of the LCM and HCF is 1125. If one number is 25 then the other number is = ?
Q.30
Three numbers are in the ratio 2 : 3 : 4, If their LCM is 240 the smaller of the three numbers is = ?
0 h : 0 m : 1 s