CAT Questions

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Puttingal Temple was a Hindu temple in the coastal town of Paravur, India. The temple was founded after the presence of the goddess was experienced on an ant hill with Puttu being the Malayalam word for ant Hill.

Brooks Koepka shot a final round 68 for 281 (+1) to win his second straight U.S. Open, one stroke ahead of runner-up Tommy Fleetwood, who closed with the sixth round of 63 in U.S. Open history.

Let the two digits be x & y

From given data in the question, we get

x + y = 3(x - y)

x + y = 3x - 3y

=> 2x = 4y

x/y = 2/1

For having the 2:1, numbers satisfying are

12, 21, 24, 42, 36, 63, 48, 84

From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares.

Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.

15! - 14! - 13!

= (15 × 14 × 13!) - (14 × 13!) - (13!)

= 13! (15 × 14 - 14 - 1)

= 13! (15 × 14 - 15)

= 13! x 15 (14 - 1)

= 15 × 13 × 13!

We know 60 min = 1 hr
Total northward Laxmi's distance = 20kmph x 1hr = 20 km
Total southward Prasanna's distance = 30kmph x 1hr = 30 km
Total distance between Prasanna and Laxmi is = 20 + 30 = 50 km.