GATE Questions

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Observe that in each column, square of sum of digits in the first row = Respective second row elements.

In the same way, square of sum of digits in the second row = Respective third row elements.

=> 6+42=102=100

=> 4+92=132=169

=> 8+12=92=81.

Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.
M.P. = (6/5) S.P.
Since the percentage discount = Percentage profit,
65S.P - S.P65S.P×100 = S.P -C.PC.P×100
Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.P
M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P
Therefore, Ratio of discount to C.P
= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]
= 7/30

Therefore, the ratio is 7 : 30

Yard is to Inch as Quart is to Ounce.

Because Yard and Inch are units of measurement Where Yard is larger than Inch i.e, 1 Yard = 36 Inches.

So, here Quart and Ounce are also units of measurement where Quart is larger than Ounce i.e, 1 Quart = 32 Ounces.

Gallon is not correct because Gallon is larger than Quart and Milk and Liquid are not units of measurement.

So, Ounce is correct.

Time taken to meet for the first time anywhere on the track

= length of the track / relative speed

= 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

Let the candidates be A & B
35%-----------A
65%-----------B

Difference of votes (65-35)% = 30%

=>          30% ------- 2250
Then for 100% -------- ?     => 7500

Square is 2-dimensional 4 sided figure Whereas Cube is 3-dimensional figure which looks like Square.

Similarly, Triangle is 2-dimensional 3 sided figure Whereas Pyramid is 3-dimensional figure which looks like Triangle.

Assume A be the cost price.

Therefore,
35×A×10100 - 25×A×5100 = 1500

=>  A = Rs 37,500.

After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 = 32 persons will get
after 15 =5x3 min ......9x2 + 9 =27 = 33 persons will get news.
.
.
after 5x6 mins ... 36 = 729 persons will get news.

Therefore, time taken to spread the rumour to 729 persons is 30 minutes.