Question
Three statements are given followed by two conclusions
numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All Lockers are Keys. Some Keys are Doors. All Doors are Windows. Conclusions: I. Some Keys are Windows. II. Some Lockers are Doors.Solution
Some Keys are Doors (I) + All Doors are Windows (A) → Some Keys are Windows (I). Hence conclusion I follows. All Lockers are Keys (A) + Some Keys are Doors (I) → No conclusion. Hence conclusion II does not follow.
The product of two positive integers is 1620. If their HCF is 9 and their sum is 81, then find the difference between the numbers.
Determine the highest common factor (HCF) of the numbers 75, 125, and 300.
- The product of two numbers is 3888 and their L.C.M is 324. What is the H.C.F of the two numbers?
Let N be the greatest number that will divide 85, 112, 139 leaving the same remainder in each case. Then sum of the digits in N is:
Calculate the Least Common Multiple (LCM) of the two highest prime numbers under 10.
A car moves 144 km in 4 hours. The bike goes 1.5 m/s slower than the car. What distance (in metres) does the bike cover in 6 minutes 20 seconds?
Let N be the greatest number that will divide 92, 114, 136 leaving the same remainder in each case. Then sum of the digits in N is:
The H.C.F. of two numbers is 22 and the other two factors of their L.C.M. are 9 and 11. The larger of the two numbers is:
Two numbers are in the ratio 3:7. The product of their H.C.F. and L.C.M. is 2541. The sum of the numbers is:
Find the largest number of the five digit which is exactly divisible by 48, 72 and 108.