Work And time Question no. 1 The H.C.F and L.C.M of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, then the two numbers are looks_one 273 , 357 looks_two 273 , 361 looks_3 273 , 359 looks_4 273 , 363 Answer Option looks_one 273 , 357 Solution Solution : HCF = 21 , LCM = 4641 = 13 * 3 * 7 * 17 Each number has 21 as factor First number = 21 * 13 = 273 Second Number = 21 * 17 = 357 Question no. 2 What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24? looks_one 264 looks_two 259 looks_3 269 looks_4 None of these Answer Option looks_two 259 Solution Solution : LCM ( 8 ,11 , 24) = 264 LCM is the smallest number that is divisible by all their factors 264 is the number completely divisible by 8, 11 and 24 Number is increased by 5 = 264 - 5 = 259 Question no. 3 Find the greatest number that will divide 148,246 and 623 le...

Trigonometry Question no. 1 The minimum value of 2sin 2 θ + 3cos 2 θ is looks_one 3 looks_two 2 looks_3 0 looks_4 1 Answer Option looks_two 2 Solution Solution : 2sin 2 θ + 3cos 2 θ = 2sin 2 θ + 2cos 2 θ + cos 2 θ 2(sin 2 θ + cos 2 θ) + cos 2 θ 2 + cos 2 θ -1 ≤ cosθ ≤ 1 0 ≤ cos 2 θ ≤ 1 2 ≤ 2 + cos 2 θ ≤ 3 Question no. 2 The simplest value of sin 2 x + 2tan 2 x–2sec 2 x + cos 2 x is looks_one -1 looks_two 1 looks_3 0 looks_4 2 Answer Option looks_one -1 Solution Solution : sin 2 x + 2tan 2 x–2sec 2 x + cos 2 x sin 2 x + cos 2 x + 2 (tan 2 x - sec 2 x ) = 1 + 2 (-1) = 1 - 2 = -1 Question no. 3 If cos 4 θ– sin 4 θ = 2/3 , then the value of 2cos 2 θ–1 is looks_one 0 looks_two 1 looks_3 2/3 looks_4 3/2 Answer option looks_3 2/3 Solution Solution : Question no. 4 The value of tan4°. tan43°. tan47°. tan86° is looks_one ...

Square, Cube, indices and Surds Question no. 1 If two numbers are respectively 20% and 50% of a third number, what is the percentage of the first number to the second ? looks_one 10 looks_two 20 looks_3 30 looks_4 40 Answer Option looks_4 40 Solution Solution : First number = a second number = b third number = c a = 0.2 c .....[1] b = 0.5 c .......[2] divide 1 from 2 a/b = 0.2/0.5 a = 0.4b a is 40 % of b Question no. 2 11% of which number is 33? looks_one 300 looks_two 330 looks_3 33 looks_4 None of these Answer Option looks_one 300 Solution Solution : 11% of x = 33 Question no. 3 Two-third of one-seventh of a number is 87.5% of 240. What is the number ? looks_one 2670 looks_two 2450 looks_3 2205 looks_4 1470 Answer option looks_3 2205 Solution Solution : Question no. 4 10% of the inhabitants of a village having died of cholera, a panic set in, during which 25%...

time ,speed and distance Question no. 1 A man makes his upward journey at 16 km/h and downward journey at 28 km/h. What is his average speed ? looks_one 32 looks_two 56 looks_3 20.36 looks_4 22 Answer Option looks_3 20.36 Solution Solution : let the distance travel is x Question no. 2 During a journey of 80 km a train covers first 60km with a speed of 40 km/h and completes the remaining distance with a speed of 20 km/h. What is the average speed of the train during the whole journey? looks_one 30 looks_two 32 looks_3 36 looks_4 None of these Answer Option looks_two 32 Solution Solution : total distance = 80 km time taken to cover first 60 km = 60/40 = 1.5 hr time taken to cover remaining 20 km = 20/20 = 1 hr total time = 1.5 + 1 = 2.5 hr Question no. 3 A train running between two stations A and B arrives at its destination 10 minutes late when its speed is 50 km/h and 50 minutes late when it...