TCS
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Numerical Ability
Algebra
If the roots of the equation (x + 1) (x + 9) + 8 = 0 are a and b, then the roots of the equation (x + a) (x + b) - 8 = 0 are
(1) 1 and 9 (2) -4 and -6 (3) 4 and 6 (4) Cannot be determined
Read Solution (Total 4)
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- answer is 1 and 9. it is a direct question frind the values of a and b den substitue in (x+a)(x+b)-8=0 roots are 1 n 9
- 12 years agoHelpfull: Yes(11) No(1)
- (x + 1) (x + 9) + 8 = 0 => (x^2) + 10x + 17 = 0
Hence a+b = -10 and ab=17
(x + a) (x + b) - 8 = 0 => (x^2) + (a+b)x + ab - 8 = 0
(x^2) + 10x + 17 - 8 = 0 => x = 1,9 - 12 years agoHelpfull: Yes(10) No(0)
- It should be 1and 9. By comparing the coefficient of particular terms.
- 12 years agoHelpfull: Yes(5) No(0)
- 1) 1 and 9
- 12 years agoHelpfull: Yes(2) No(1)
TCS Other Question
The total cost of 2 pencils, 5 erasers and 7 sharpeners is Rs.30, while 3 pencils and 5 sharpeners cost Rs.15 more than 6 erasers. By what amount (in Rs.) does the cost of 39 erasers and 1 sharpener
exceed the cost of 6 pencils?
(1) 20 (2) 30 (3) It does not exceed (4) Cannot be determined
Balram, the local shoe shop owner, sells four types of footwear -Slippers (S), Canvas Shoes (C), Leather Shoes (L) and Joggers (J). The following information is known regarding the cost prices and
selling prices of these four types of footwear:
(i) L sells for Rs.500 less than J, which costs Rs.300 more than S, which, in turn, sells for Rs.200 more than L.
(ii) L costs Rs.300 less than C, which sells for Rs.100 more than S, which, in turn, costs Rs.100 less than C.If it is known that Balram never sells any item at a loss, then whichof the following is true regarding the profit percentages earned by Balram on the items L, S, C and J represented by l, s, c and j respectively?
(1) l ≥ c ≥ s ≥ j (2) c ≥ s ≥ l ≥ j (3) l ≥ s ≥ c ≥ j (4) s ≥ l ≥ j ≥ c