Question
In the question below some statements are given
followed by three conclusions I, II, and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusion definitely follows from the given statements, disregarding commonly known facts. Statements: Some Hammer are Screw. All Bolt are Screw. No Screw are Nail. Conclusions: I. No Bolt is Nail. II. Some Screw are Bolt. III. Some Nail are Hammer.Solution
All Bolt are Screw (A) + No Screw are Nail (E) → No Bolt is Nail (E). Hence conclusion I follows. All Bolt are Screw (A) → Conversion → Some Screw are Bolt (I). Hence conclusion II follows. Some Hammer are Screw (I) + No Screw are Nail (E) → Some Hammer are not Nail (O). Hence conclusion III does not follow.
HCF of two numbers 64 and 96 can be expressed in the form of (20m – 108) whereas LCM of these two numbers can be expressed in the form of (60n – 18)...
Ratio of two numbers 5:9 and their LCM is 1260. Find the sum of the given two numbers.
The HCF of 108 and 144 is ______
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 sum and difference of L.C.M and H.C.F of two numbers are 294 and 126. If one of the numbers is 21, find the other number.
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?
Three numbers are in the ratio 1:4:5 respectively. If the HCF of the numbers is 7, then find the LCM of the numbers.
The HCF of a^6 - 1 and a^4+ 2a^3- 2a-1 is
The ratio of two numbers is 9:12 and their LCM is 324. The numbers are:
Find difference between the LCM and HCF of 14, 42 and 77.
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