Ques:- If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3
Recent Answer : Added by Ananya Jignyasha On 2021-07-14 14:29:35:
2^a = 2 x 2+a
a^3= 2 x a + 3
=> 4+a= 2a + 3
=> a = 1
Ques:- A and B entered into a partnership investing Rs.16,000 and Rs.12,000 respectively. After 3 months, A withdrew Rs.5000 while B invested Rs.5000 more. After 3 years of C, out of a total profit of Rs.21,000. The share of B exceeds that of C, out of a total profit of Rs.26,400 after one year by
A. Rs. 2400
B. Rs. 3000
C. Rs.3200
D. Rs.3600
Recent Answer : Added by narendra On 2022-09-18 09:02:51:
D
Ques:- A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons. How many days did they stay there totally?
Recent Answer : Added by Dhruba Jyoti Kalita On 2022-08-14 16:46:05:
Yes answer is 18 days
Ques:- Would you be willing to relocate if required?
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Ques:- Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last year, each of them discovered that every tree in their own orchard bore exactly the same number of apples. Further, if the third farmer gives one apple to the first, and the fifth gives three to each of the second and the fourth, they would all have exactly the same number of apples. What were the yields per tree in the orchards of the third and fourth farmers?
Recent Answer : Added by John Rony On 2021-06-23 17:56:01:
So we consider the 2nd statement first. We can form an equation out of it.
14x-6=13y+3=9z+3
Using this, we can understand that the multiple of 14 and the multiple of 13 and 9 must have a difference of 9. The easiest way to ensure that is multiplying it by 9
14*9=126
13*9=117
If the 5th farmer gives 3 apples to the 4th farmer, they would have 123 and 120 apples respectively. However, we also know that the 2nd farmer has 117 apples (13*9=117, and this is a multiple of 9) if the 5th farmer gives 3 apples too the 2nd farmer, the 3rd, 4th and 5th farmers would have 120 apples each.
Now that we got 120, we should check if the first part of the question makes sense along with it. The equation would be
7a+1=11b-1=120
We know that 11*11=121 and 7*17=119. When we add 1 to 119 and subtract 1 from 121, we get 120 for each. In this way, all the farmers have 120 apples each.
Therefore, the 3rd farmer had a yield of 11 per tree and the 4th farmer had a yield of 9 per tree.
Ques:- a person left house with speed 40 mile per hour. His wife after 30 minutes left to catch him at a speed of 50 Miles Per Hour. in what time she will catch.
Recent Answer : Added by Admin On 2020-05-17 11:59:48:
time (dist covrd by husband) (dist covrd by wife)
0.5hr 20 miles 0 miles
1 hr 40 miles 25 miles
1.5 hr 60 miles 50 miles
2 hrs 80 miles 75 miles
2.5 hrs 100 miles 100 miles
Therefore wife catches up after 2.5 hrs..
Ques:- In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Recent Answer : Added by Karthiga On 2022-03-09 16:30:43:
Given:
Principle Amount(P):₹5000
S.I:₹16500
Rate of Interest(R):15%
Find:T
SI=P*T*R/100
T=SI*100/P*R
T=16500*100/5000*15
T=22 YEARS
Ques:- Are you ready to relocate with your immediate family to United States as a new employee?
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Ques:- If (n – 1) is an odd number, what are the two other odd numbers nearest to it?
A. n, n – 1
B. n, n – 2
C. n – 3, n + 1
D. n – 3, n + 5
Recent Answer : Added by Rohan On 2021-11-13 11:02:06:
c
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Ques:- There is a safe with a 5 digit No. The 4th digit is 4 greater thansecond digit, while 3rd digit is 3 less than 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is 11. Find the number
Ques:- A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?
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Ques:- Let D be the set of all points in the real plane such that |x| + |y| <= 1,where |x| (respectively |y|) denotes the absolute value of x (respectively y).Prove that amongst every 5 points in D, there exist two points whose distancefrom one another is at mos
Ques:- A 260 meter long train crosses a 120 meter long wall in 19 seconds. What is the speed of the train?
A. 27 km/hr
B. 49 km/hr
C. 72 km/hr
D. 92 km/hr
Recent Answer : Added by anjaneyulu On 2022-11-08 16:21:53:
72 kmph
Ques:- There are 4 cars . They all are coming from different directions. They have to cross through one square.They all arrive at the same time. Nobody stops . still there is no clash .note : They all are driving at a speed if 100 km/hr.options are:1) all cars take left2) all cars turn right3) two cars turn left and two turn right.tell me the answer with reason.
Ques:- How many mashes are there in 1 squrare meter of wire gauge if each meshis 8mm long and 5mm wide ?(a) 2500(b) 25000(c) 250(d) 250000
Recent Answer : Added by Nathan Abebe On 2022-04-02 06:59:54:
B, 8mm x 5 mm = 40 mm^2
1000mm x 1000mm = 1,000,000mm^2
= 1,000,000 mm^2/40mm^2
= 25,000
Ques:- Name the extra co-curricular activities you participated in and how many awards did you win?
2^a = 2 x 2+a
a^3= 2 x a + 3
=> 4+a= 2a + 3
=> a = 1