Ques:- A car is travelling at a uniform speed. The driver sees a milestone showing a 2-digit number. After travelling for an hour the driver sees another milestone with the same digits in reverse order. After another hour the driver sees another milestone containing the same two digits. What is the average speed of the driver.
Recent Answer : Added by Admin On 2022-09-29 15:13:36:
Let 10’splace digit is x and unit’s place digit y
First milestone : 10x+y
Second milestone : 10y+x
Third milestone: 100x+y
Since the speed is uniform so
Distance covered in first Hr = Distance covered in Second Hr
(10y+x)-(10x+y) = (100x+y)-(10y+x)
After solving, we get —-> y=6x but since x and y are digits so only possible combination is x=1 and y=6,
So average speed = 45 KM/HR
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Ques:- A circle is inscribed in a Triangle of side 6cm. What is the area of circle?
Recent Answer : Added by ankita On 2022-08-14 16:34:24:
27 root 3
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Ques:- Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Recent Answer : Added by Atif On 2022-12-05 16:13:36:
10 x 27=270
Ques:- A father is 30 years older than his son however he will be only thrice as old as the son after 5 yearswhat is father's present age ?(a) 40 yrs(b) 30 yrs(c) 50 yrs(d) none of these
Recent Answer : Added by rushi On 2022-05-17 08:55:44:
40
simple logic, Check Option Lets father present age = 40 so it full fill all condition like his son age become 10 and after five years it will become 15 and father age is 45 and it full fill second condition that fathers age is thrice as old as the son after 5 years
Ques:- X, Y, Z enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of X, Y, Z in annual profit of Rs. 40,500 are:
Recent Answer : Added by Supriya p On 2022-09-28 17:42:52:
X share is 10500
Y share is 13500
Z share is 16500
Ques:- The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
Recent Answer : Added by Jay On 2022-08-14 16:35:32:
31
Ques:- The HCF of two numbers is 11 and their LCM is 7700. If one of these numbers is 275, then the other one is
A. 918
B. 308
C. 283
D. 279
Recent Answer : Added by narendra On 2022-09-18 09:03:28:
b
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Ques:- What is the sum of two consecutive even numbers, the difference of whose squares is 84?
Recent Answer : Added by Admin On 2022-09-29 16:21:46:
Let the numbers be x and x + 2.
Then, (x + 2)2 – x2 = 84
⇒ 4x + 4 = 84
⇒ 4x = 80
⇒ x = 20.
∴ The required sum
= x + (x + 2)
= 2x + 2
= 42
Ques:- What is the approximate apparel market in India
A. Rs. 30,000 Crores
B. Rs. 20,000 Crores
C. Rs. 15,000Crores
D. Rs. 10,000 Crores
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Ques:- 555555 is divisible by
A. 23
B. 19
C. 17
D. 7
Recent Answer : Added by SIDDHESHWAR BIRAJADAR On 2022-08-14 16:46:06:
7
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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
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Ques:- What’s your fondest childhood memory?
Recent Answer : Added by Anusha.B On 2021-12-14 17:33:19:
When I went to my native place the form is so good environment
Ques:- In a certain code, LABOUR is written as KBAPTS. How is CANDID written in that code?
Recent Answer : Added by Akilarasi On 2021-06-09 16:17:14:
BBMEHE
Ques:- The average of five results is 46 and that of the first four is 45. The fifth result is?
Recent Answer : Added by Lani On 2021-09-28 17:28:16:
x- sum of first 4 values
y – 5th value
x/4 = 45
x=45*4=180
(x+y)/5 = 46
(180+y)/5=46
180+y=230
y=50
Ques:- Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Recent Answer : Added by Rauf Cyclewala On 2021-05-09 06:06:24:
1000
Ques:- What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1
Ques:- A train of length 150 m takes 40.5 seconds to cross a tunnel of length of 300 m. The speed of the train (in km/hr) is
A. 13.33
B. 26.67
C. 38.32
D. 40
Recent Answer : Added by memo On 2023-01-10 14:35:10:
Since the total train length passed the tunnel so the distance would be the length of train added to the tunnel legth
D=150+300=450 mt.
speed = distance/time
speed = 450/(40.5/3600)
speed =40,000 mt/sec
Let 10’splace digit is x and unit’s place digit y
First milestone : 10x+y
Second milestone : 10y+x
Third milestone: 100x+y
Since the speed is uniform so
Distance covered in first Hr = Distance covered in Second Hr
(10y+x)-(10x+y) = (100x+y)-(10y+x)
After solving, we get —-> y=6x but since x and y are digits so only possible combination is x=1 and y=6,
So average speed = 45 KM/HR