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Consider the following in respect of natural numbers a, b and c: 1. LCM(ab, ac) = a × LCM(b, c) 2. HCF(ab, ac) = a × HCF(b, c) 3. HCF (a, b) < LCM(a, b) 4. HCF(a, b) divides LCM(a, b) Where, a ≠ b ≠ c  Which of the above are correct?
State whether the given statement is True or False. LCM (a, b, c, d) = LCM(a,(LCM(b,(LCM(c, d)))).
Out of three numbers A, B, and C, A is the largest number, and the ratio of B to C is 4 : 5. If HCF of A and B is 16, LCM of B and C is 240, and LCM of A and B is 192, then what is the LCM of A, B, and C?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Total number of pupils in three classes of a school is 1288. The ratio of children in three classes X, Y, Z is 39 : 64 : 58. In class X number of boys are 26 less than number of girls. Number of boys in class Y is 67.83% more than the number of boys in class X. And, girls in class Z are 25.36% less than the number of girls in class Y. (In calculating number of boys and girls, the decimal value must be rounded off to nearest whole number). Quantity A: Number of boys in class Z. Quantity B: Number of girls in class X. Quantity C: Number of girls in class Y.
Rahim has invited his three buddies over to watch the basketball game on his wide-screen television. They are all hungry, but no one wants to leave to get food. Just as they are arguing about who should make the food run, a commercial comes on for a local pizzeria that delivers. The phone number flashes on the screen briefly and they all try to remember it. By the time Zachary grabs a pen and paper, each of them recollects a different number.i. All of the men agree that the first three numbers are 995.ii. Three of them agree that the fourth number is 9.iii. Three agree that the fifth number is 2.iv. Three agree that the sixth number is 6; three others agree that the seventh number is also 6.Which of the numbers is most likely the telephone number of the pizzeria?
Zachary has invited his three buddies over to watch the basketball game on his wide-screen television. They are all hungry, but no one wants to leave to get food. Just as they are arguing about who should make the food run, a commercial comes on for a local pizze-ria that delivers. The phone number flashes on the screen briefly and they all try to remember it. By the time Zachary grabs a pen and paper, each of them recollects a different number.

#1 : All of the men agree that the first three numbers are 995.
#2 : Three of them agree that the fourth number is 9.
#3 : Three agree that the fifth number is 2.
#4 : Three agree that the sixth number is 6; three others agree that the seventh number is also 6.

Which of the numbers is most likely the telephone number of the pizzeria?
Each question presents a situation and asks you to make a judgement regarding that particular circumstance. Choose an answer based on given information. Himanshu and his two friends were walking on the footpath along the road. Suddenly a car drove by and hit a man, who was crossing the road. Each of them remembers certain number of the 6-digit number plate. All three of them went to police station to file a complaint. When asked about the plate number each of them remembers different numbers. 1. All three confirmed that first two numbers from the left was 35. 2. All three agrees than 4th number from the left was 7. 3. All three agrees that there was no even number in the number plate. 4. All three agrees that two numbers were same. Which of the following would be most likely the number of the number plate?
Each question presents a situation and asks you to make a judgement regarding that particular circumstance. Choose an answer based on given information. Three friends are waiting for a train on the railway station. Suddenly, a train passes by and each of them tries to remember the train number of the train written on each of the coaches. The train number was a 5-digit number. All must agree in order to confirm the digit of train number. 1. All three agrees that all the digits of the train number was different. 2. All three agrees that the difference of 3rd and 5th digit from left is equal to the 4th digit from the left. 3. All three agrees that the 1st digit was 1. 4. All three agrees that the 2nd digit was an even prime number. Which of the following would be most likely the train number?
The ratio of the value of A to that of B is 7 : 9 and B is 20 more than C. If LCM of A and B is 315, then what is the difference between LCM of A and C and LCM of B and C?
An Identity Card has the number ABCDEFG, not necessarily in that order, where each letter represents a distinct digit (1, 2, 4, 5, 7, 8, 9 only). The number is divisible by 9. After deleting the first digit from the right, the resulting number is divisible by 6. After deleting two digits from the right of original number, the resulting number is divisible by 5. After deleting three digits from the right of original number, the resulting number is divisible by 4. After deleting four digits from the right of original number, the resulting number is divisible by 3. After deleting five digits from the right of original number, the resulting number is divisible by 2. Which of the following is a possible value for the sum of the middle three digits of the number?