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The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.
The new ratio of hens : ducks : goats in farm P is ____________.
In Farm P:
Hens = 65, Ducks = 91 and Goats = 169
In Farm Q:
Total number of Hens, Ducks, and Goats = 416
The ratio of Hens : Ducks : Goats = 5 : 14 : 13
Total number of Hens = 5/32 × 416 = 65
Total number of Ducks = 14/32 × 416 = 182
Total numbers of Goats = 13/32 × 416=169
From Farm P, all the Hens, Ducks and Goats are sent to Farm Q.
Total Hens in farm Q = 65 + 65 = 130
Total Ducks in farm Q = 91 + 182 = 273
Total Goats in farm Q = 169 + 169 = 338
New Ratio = 130 : 273 : 338 = 10 : 21 : 26
Find the missing sequence in the letter series.
B, FH, LNP, __________.
The series formed is as follows,
A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the below piece.
Draw a rectangle and carved out the remaining position.
After the carvedout portion is out, make a mirror image of it.
If
then, the value of the expression Δ 2 ⊕ 3 Δ ((4 ⊗ 2) ∇ 4) =
Concept:
Replace the symbol as per their standard sign and solve using BODMAS.
Calculation:
Given:
Δ 2 ⊕ 3 Δ ((4 ⊗ 2) ∇ 4) = + 2  3 + ((4 ÷ 2) × 4)
∴ + 2  3 + (2 × 4)
∴ + 2  3 + 8
∴ 10  3 = 7
The distribution of employees at the rank of executives, across different companies C1, C2, ..., C6 is presented in the chart given above. The ratio of executives with a management degree to those without a management degree in each of these companies is provided in the table above. The total number of executives across all companies is 10,000.
Q. The total number of management degree holders among the executives in companies C2 and C5 together is _____.
Concept:
From piechart, we can get the total number of executives in each company.
From the ratio table, we can get the numbers of executives with and without a management degree.
Calculation:
Given:
Total executives = 10,000
Percentage of executives in C2 = 5%, C5 = 20%
Ratio of executives with and without management degree C2 = 1 : 4, and C5 = 9 : 1.
Executives in C2 = 5/100 × 10000 = 500
Executives in C5 = 20/100 × 10000 = 2000
Executives with Management degree holders in C2 = 1/5 × 500 = 100
Executives with Management degree holders in C5 = 9/10 × 2000=1800
∴ total executives with management degree holders in C2 and C5 = 100 + 1800 = 1900.
A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds.They beeped together at 10 AM.The immediate next time that they will beep together is _____.
Concept:
The Watched will beep together at the time of their Least Common Multiple (LCM).
Calculation:
Given:
Watch X beeps at = 30 sec
Watch Y beeps at = 32 sec
They beep together at = 10.00 AM
LCM of (30 & 32) = 480 sec
And X and Y will beep together after 480 sec or 8 minutes.
So Next beep time = 10.08 AM
The front door of Mr X's house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.
Tracing path followed by Mr. X,
Hence Mr. X will be in NorthWest direction from the starting point.
Given below are two statements 1 and 2, and two conclusions I and II.
Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.
Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.
Based on the above statements and conclusions, which one of the following options is CORRECT?
The Venn diagram according to the given statements is as follows:
Conclusions:
All risk seekers are wealthy. → False (All wealthy are risk seekers but can't say vice versa is also true)
Only some entrepreneurs are risk seekers → False (All entrepreneurs are wealthy and All wealthy are risk seekers so all entrepreneurs will be risk seekers)
Hence neither conclusion I nor II is correct.
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is _____
Let the radius of the circumscribed circle is R, and the radius of the inscribed circle is r.
Then area of circumscribed circle = πR^{2}
Then the area of the inscribed circle = πr^{2}
We know the angle between two adjacent sides in an equilateral triangle is 60°.
ΔOAB, Sin30 = r / R
R = 2r
The ratio of the area of the inscribed circle to the area of the circumscribed circle
A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is ______.
Concept:
P(E) = Number of favorable outcomes / Total number of outcomes
Calculation:
Given:
Number of blue balls = 15, Number of black balls = 45
Total number of balls = 15 + 45 = 60 balls
Balls are drawn from the box at random without replacement.
The probability of drawing first blue ball and second black ball is;
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