# Trignometry

trignometery-geometry-cetking-handout-pdf

trignometery-geometry-cetking-handout-pdf

101. Price of 1st bottle = 520 Bahts Price of 2nd and 3rd bottles each = (520 × 0.7) = 364 Bahts ∴ Total cost of all three bottles = 1248 Bahts Cost per person = 416 Bahts R pays 2 Euros = 2 × 46 = 92 Bahts M pays 4 Euros and 27[…]

#CurrentAffairs#Cetking#Gk Current Affairs of 1st November 2016 A new ranking of states by the NITI Aayog, based on their performance in reforming agriculture marketing, land leasing and forestry on private land, has set the record straight on states’ eagerness to transform the farm sector. The observance of Vigilance Awareness Week, 2016 has commenced across Indian[…]

Q1: n will be of the form 11ab, where a and b are odd numbers. We are looking for all n’s divisible by 3. ∴ 1 + 1 + a + b = 3 or 9 or 12 or 15 or 18 ∴ a + b = 1 or 4 or 7 or 10 or[…]

Solution 1: n can be a 2 digit or a 3 digit number. Case (I) Let n be a 2 digit number. Let n = 10x + y, where x and y are non-negative integers, Pn = xy and Sn = x + y Now, Pn + Sn = n ∴ xy + x +[…]

EXPECTED CAT QUESTION Q1:. Let O and E represent odd and even digits respectively. ∴ S can have digits of the form O _ O _ E or O _ E _ O or E _ O _ O Case 1: O _ O _ E The first digit can be chosen in 3 ways[…]

Expected CAT Question: Q1: Let A = 100x + 10y + z (x ≠ 0, x, y, z are single digit numbers) ∴ B = 100z + 10y + x ∴ B – A = 99(z – x) As (B – A) is divisible by 7 and 99 is not, (z – x) is divisible[…]

Q1: p = (1 × 1!) + (2 × 2!) + (3 × 3!) + (4 × 4!) + … + (10 × 10!) Now, n × n! = [(n + 1) – 1] × n! = (n + 1)! – n! ∴ p = 2! – 1! + 3! – 2! + 4! –[…]

Q1: We have, x² = y² and (x − k)² + y² = 1 Solving the two equations simultaneously, we get, (x – k)² + x² = 1 ∴ x² – 2kx + k² + x² = 1 ∴ 2x² – 2kx + (k² – 1) = 0 If this equation has a unique solution[…]

Q1: Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes[…]