Let the required number be 'X' Condition 1 :   XX = 2X  => 2X2 = X => X = 12   Condition 2 : X × X = X2=> X = 12   Therefore, 12 is the number which becomes double when it is divided by itself and becomes half when it is multiplied by itself.

Answer: C) 200 mts Explanation: Let the length of the train be 'L' mts let the speed of the train be 'S' m/s Given it crosses a pole in 10 sec=> L/S = 10 ......(1)Given it takes 20 sec (double of pole) to cross a platform of length 200 mts => (L + 200)/S = 20 => L/S + 200/S = 20 But from (1) L/S = 10 => 200/S = 20 - 10 => S = 20 m/s Then, from (1) => L = 10 x 20 = 200 mts. Hence, the length of the train = 200 mts.

Answer: D) 3/8 Explanation: 3/4 divided by 2 = 3/4/2 = 3/4x2 = 3/8.   Hence, 3/4 divided by 2 is equal to 3/8.

Answer: D) All the above Explanation: The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....   Multiples of 18 are nothing but numbers which are divisible by 18 leaving remainder 0.   An infinite number of multiples of 18 can be achieved by adding 18 to each subsequent multiple.

Answer: B) 23 Explanation: Let the greater and smaller number be p and q respectively. 4q = p + 5 ------ (I) p = 3q+2 ------- (II) From equation (I) and (II) q = 7 p = 23

Answer: B) 3' > 2' > 1'> NH3 Explanation: The order of basicity in ammonia is different in gaseous phases vs. aqueous phases due to hydrogen bonding.   So in gaseous phases it's the well known: 3' > 2' > 1'> NH3. Just so we're on the same page, this is due to the inductive effect of electron donating alkyl groups--they destabilize the lone pair on nitrogen atom, making nitrogen more basic.   But in aqueous phase, the order is slightly different: 2'> 1'> 3' > NH3.

Answer: C) Google Explanation: 1. In the latest Global 500 rankings of most valuable and powerful brands across the globe, Sundar Pichai’s Google has surpassed Apple to achieve the top position.2. The Brand Finance Global 500 list published on February 2, 2017 had featured Apple as the top brand for continuous five years.3. However, for 2017, the ranking revealed that Google’s brand value rose by 24 percent to $109.5bn in 2016. The brand value of Apple on the other hand dropped 27 percent to $107bn.4. This is for the first time since 2011 that Google has been placed at the top spot. The third place has been occupied by Amazon.5. The ranking is based upon factors such as marketing investment, familiarity, loyalty, staff satisfaction and corporate reputation.

Answer: A) 20% Explanation: Suppose that the original price of the car = Rs. x  Then new price of the car => (x) + (x ×25/100) = Rs. 5x/4  To restore the original price, the new price must be decreased by 5x/4 − x = x/4 So required percentage =(x/4)/(5x/4) × 100% = 20%