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The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is 1/3, then his present age is
Explanation:
Let Sharma’s present age be x years then his age 3 years ago is (x−3) years and 5 years from now is (x+5)years. According to question,
If the quadratic equation kx(x – 2) + 6 = 0 has equal roots, then the value of ‘k’ is
If one root of the equation ax2+bx+c=0 is three times the other, then b2:ac=
Explanation:
Let one root be αα then other root will be 3α
∴ Sum of the roots
A train travels 360km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey, then the actual speed of the train is
Let b = a + c. Then the equation ax2+bx+c=0 has equal roots if
The discriminant of the quadratic equation 3√3x2+10x+√3=0
If one root of the equation 4x2−2x+(λ−4)=0 be the reciprocal of the other, then the value of λ is
Rohan’s mother is 26 years older than him. The product of their ages 3 years from now will be 360, then Rohan’s present age is
Explanation:
Let Rohan’s present age be xx years.
Then Rohan’s mother age will be (x+26) years.
And after 3 years their ages will be (x+3) and (x+29) years. According to question,
By a reduction of Re.1 per kg in the price of sugar, Radha can buy one kg sugar more for Rs.56. The original price of 1 kg of sugar is
If the sum of the roots of x^{2}−(k+6)x+2(2k−1)=0 is equal to half of their product, then k =
500 bananas were divided equally among a certain number of students. If there were 25 more students, each would have received one banana less. Then the number of students is
A cyclist takes 2 hours less to cover a distance of 200 km, if he increases his speed by 5 km/hr. Then his original speed is
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