Ques:- The ratio of two numbers is 2:3 and the sum of their cubes is 945. What is the difference of number ?
Recent Answer : Added by Preet On 2021-08-10 15:21:38:
Let numbers be 2x, 3x
Given: (2x)^3 + (3x)^3 = 945
8x^3 + 27x^3 = 945
x = 3
Difference between numbers = 3x – 2x = x
Hence difference = 3
Ques:- The sum of three consecutive even numbers is 42. Find the middle number of the three?
Recent Answer : Added by Aruna On 2022-08-14 18:01:25:
X+x+2+x+3=42
3x+6=42
3x=42-6=36
X=12
X+2=14
X+3=15
Middle number 14
Ques:- Ayesha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Recent Answer : Added by t On 2022-01-08 16:07:00:
6
Ques:- A train 240 m in length crosses a telegraph post in 16 seconds. What is the speed of the train ?
Recent Answer : Added by jay On 2022-03-09 16:41:09:
speed = distance / time.
240/16=15m/sec=54km/hr
Ques:- Drawback is?
A. An incentive to exporters
B. Means of tying Pyjamas
C. A subsidy to exporters
D. A penalty to exporters forlate delivery
Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Recent Answer : Added by Admin On 2020-05-17 12:01:23:
(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3
Ques:- If you won a Rs.10-crore lottery, would you still work?
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Ques:- If the list price of a book is reduced by Rs. 5, then a person can buy 5 more books for Rs. 300. The original cost of the book is?
Recent Answer : Added by BISHWAS KUMAR On 2022-01-16 17:18:18:
20- buy 15 books
15- buy 20 books
Original price is 20.
Ques:- What is the main role of HR in an organization?
Ques:- The ratio between the present ages of A and B is 5:7 respectively. If the difference between B’s present age and A’s age after 6 years is 2. What is the total of A’s and B’s present ages?
Ques:- A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, then the percentage of females who are literate is
A. 10%
B. 20%
C. 25%
D. 30%
Recent Answer : Added by narendra On 2022-09-18 09:02:26:
b
Ques:- Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Recent Answer : Added by DK BOSS On 2021-07-17 06:19:14:
Answer: C
Explanation:
900 — 100
100 — ? => 100/900*100 => 11.11%
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Ques:- If point P is on line segment AB, then which of the following is always true? (1) AP = PB (2) AP > PB (3) PB > AP (4) AB > AP (5) AB > AP + PB
Recent Answer : Added by Miss Dorothy Aceng On 2022-09-02 17:03:44:
option 5
Ques:- A clock takes 9 seconds to strike 4 times. In order to strike 12 times at the same rate, the time taken is
A. 27 seconds
B. 29 seconds
C. 33 seconds
D. 36 seconds
Recent Answer : Added by Mad On 2021-11-22 17:29:36:
9 sec=4 times
x sec=12 times
x=(9*12)/4=27 sec
Ques:- Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence?
A. 10 years
B. 20 years
C. 30 years
D. 50 years
Recent Answer : Added by Shalini On 2021-11-18 17:16:24:
20
Ques:- When Arthur is as old as his father Hailey is now, he shall be 5 times as old as his son Clarke is now. By then, Clarke will be 8 times older than Arthur is now. The combined ages of Hailey and Arthur are 100 years. How old is Clarke?
Recent Answer : Added by Stephanie Brewer On 2022-01-08 16:07:12:
Clarke is 80 years old
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Ques:- For the following, find the next term in the series1. 6, 24, 60,120, 210
Recent Answer : Added by LeoOooO On 2022-08-14 16:25:36:
Ques:- A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Recent Answer : Added by swapnil On 2022-03-09 16:35:27:
1900
Ques:- Tell us when in past you were able to demonstrate your leadership skils.
Let numbers be 2x, 3x
Given: (2x)^3 + (3x)^3 = 945
8x^3 + 27x^3 = 945
x = 3
Difference between numbers = 3x – 2x = x
Hence difference = 3