Capgemini
Company
Numerical Ability
Quadratic Equations
For what value of âkâ will the equation (2kx2 + 5kx +2)=0 have equal roots?
A. 2/7 B. 9/4 C. 16/25 D. 7/1
Read Solution (Total 11)
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- for a 2nd degree equation ax2+bx_c=0 has equal roots the condition is b2-4ac =0
in the given equation
(5k)^2-4*2k*2=0
by solving this equation
we get k=0, k=16/25 - 9 years agoHelpfull: Yes(43) No(0)
- for the roots to be equal b^2-4ac=o is the condition
a=2k b=5k c=2
=> (5k)^2-4(2k)(2)=0
=> 25k^2-16k=0
=>k(25k-16)=0
k=16/25; - 9 years agoHelpfull: Yes(12) No(0)
- for real and equal roots,
b^2-4ac=0
k=16/25 - 8 years agoHelpfull: Yes(2) No(3)
- B^2=4AC
25k^2=4.2K.2
K=16/25 - 8 years agoHelpfull: Yes(2) No(0)
- roots r equal so b2=4ac
b=2*root(ac)
5k=2*root(4k)
25k2=4*4k
k=16/25 - 8 years agoHelpfull: Yes(1) No(1)
- for equal roots equation should satisfy b2-4ac=0
25k2-16k=0
k=0,k=16/25
so ans is k=16/25 - 7 years agoHelpfull: Yes(1) No(0)
- option c
b^2=4*a*c for equal roots
25k^2=16K
k=16/25 - 8 years agoHelpfull: Yes(0) No(0)
- d2-4ac when root are equal
so 25k2=16k
=>k=16/25 - 8 years agoHelpfull: Yes(0) No(0)
- if roots are equal then b^2=4*a*c
then k=16/25 - 7 years agoHelpfull: Yes(0) No(1)
- 25k^2=16k
k=0 it is not possible or
k=16/25
so Option C - 7 years agoHelpfull: Yes(0) No(0)
- 16/25
- 6 years agoHelpfull: Yes(0) No(0)
Capgemini Other Question
Anirudh, Harish and Sahil invested a total of Rs.1,35,000 in the ratio 5:6:4 Anirudh invested has capital for 8 months. Harish invested for 6 months and Sahil invested for 4 months. If they earn a profit of Rs.75,900,then what is the share of Sahil in the profit?
A. Rs.12,400 B. Rs.14,700 C. Rs.15,800 D. Rs.13,200
A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 63 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480