I: √(100 x4 + 125x4) + 7x + 41/2 = -4x 15x2 + 11x + 2 = 0 If in quadratic equation both the signs are +ve, then both the roots will always come in -ve. so, x = -6/15, -5/15 II: 3√(64y3) x 2y + 19y + 72 = -3y + √1600 If in quadratic equation both the signs are +ve, then both the roots will always come in -ve. so, y = -18/8, -4/8 Now, the smallest root of equation II is multiplied with 2 then we get, y = -(18/8) x 2 = -9/2 Now, From i, Resultant > - 4 -4.5 < -4 So, i is false From ii, Resultant + 21 (1/2) = Multiple of 5 -9/2 + 43/2 = Multiple of 5 34/2 is not multiple of 5. Hence, ii is false. From iii, Resultant is less than the smallest root of equation I Smallest root of equation I = -6/15 Hence, -9/2 < -6/15 So, iii is True
Statements :All blues are whites.
Some whites are reds.
All yellows are reds.
Conclusions :I. Some reds are whites.
II. Some yellows are whites.
Statements:
Each Local is Town.
Some Towns are State.
No Town is Village.
Conclusions:
I: No Local is Village.
II: Some State are Locals.
Statements :No number is a symbol.
No symbol is a letter.
No letter is a draft.
Conclusions :I. No number is draft.
II. Some...
Statement:
Some pens are erasers.
Only a few erasers are sharpeners.
All sharpeners are copies.
Conclusion:
I. Some p...
Statements:
Some Young are Youth.
All Youth are Teenage.
A few Teenage are Adult.
Conclusions:
I. Some Young are not Teenage.
II. Some Youth are Adult.
What is the shortest distance between S and U?
Statement:
Some buckets are mugs.
Some mugs are tubs.
All tubs are plastics.
No plastics is a white.
Conclusion: <...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
Statements:
Only a few Jeans is Shirt.
No Shirt is Pant.
Few Pant is Skirt.
Conclusion:
I. Few Skirt is no...
Statements: All schools are colleges.
No college is a institute.
Conclusions: I. Some colleges are not institutes.
II. Some schoo...