Question
I. 5x² - 24 x + 28 = 0   II. 4y² - 8 y -
12= 0Â Â Â In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 5x² - 24 x + 28 = 0    5x² - 14x - 10x + 28 = 0    x (5x – 14) – 2 (5x – 14 )  (x – 2 ) (5x – 14)  x = 14/5, 2  II. 4y² - 8y - 12 = 0   4y²- 12y + 4y - 12 = 0   4 (y – 3) + 4(y – 3 )  (y– 3) (4y + 4)  y = 3, -1  Hence, relationship between x and y cannot be established.  Alternate Method:  If signs of quadratic equation is -ve and +ve respectively then the roots of equation will be +ve and +ve.   So, roots of first equation = x = 14/5, 2  If signs of quadratic equation is -ve and -ve respectively then the roots of equation will be +ve and -ve. (note: -ve sign will come in smaller root)  So, roots of second equation = y = 3, -1  After comparing roots of quadratice eqution we can conclude that relation cannot be established between x and y.
Statements:
Only a few blankets are quilts. No bedsheet is quilt. Only blanket is cushion.
Conclusions:
I. All bedsheets being...
Statements:
Only a few kites are sticks.
Only a few kites are string.
Conclusions:
1) Some strings being sticks is a possibi...
Statement: The UIDAI has temporarily barred Bharti Airtel and Airtel Payments Bank from conducting Aadhaar-based SIM verification of mobile customers u...
Statements: X > T, F = Q ≥ E < T
Conclusions: X < E, X = E
Statements: R > Q ≥ M = S ; Q ≥ O > T
Conclusion: I. Q ≥ S II. R < T
...Statement: The UIDAI has temporarily barred Bharti Airtel and Airtel Payments Bank from conducting Aadhaar-based SIM verification of mobile customers u...
Statements: H ≤ L< S ≤ K , S = G ≥ I > Q, U ≤ B < N = C = I
Conclusions: I. B < S II. H < Q
Infant jaundice is yellow discoloration of new born baby's skin and eyes which occurs because the baby's blood contains an excess of a yellow pigment c...
Statement:
No one is two.
A few two are three.
Only one is four.
Conclusion:
1. All two being three is a possibilit...
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...
