CAT Questions

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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.

1. Pinaka is a multi barrel rocket launcher developed by the Defence Research and Development Organisation (DRDO) for the Indian Army.

2. The system has a maximum range of 40 km for Mark-I and 75 km for Mark-II, and can fire a salvo of 12 rockets in 44 seconds.

3. The system is mounted on a Tatra truck for mobility.

4. Actually, the meaning of Pinaka is Shiv Dhanush.

Given Dileep and Narender started a business.

Dileep invested 8000 for 12 months

Let Narender invested 'p' for 6 months

At the end of the year, their profit ratio is 1 : 1.

Hence,

8000 x 12 : p x 6

p : 16000

p/16000 = 1/1

=> p = 16,000

Hence, Narender invested amount is Rs. 16,000.

The World Hydrography Day (WHD) is observed every year on June 21 to publicise the work of hydrographers and to create awareness about hydrography which is an essential science before undertaking any activity on or under the sea. The 2017 theme is “Mapping our seas, oceans and waterways – more important than ever”.

Pathogenic bacteria cause the greatest harm in the food industry.

Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.

It's answer will be 91.

Because 91 can be divisible by 7,13,91,1.

It is quite clear that prime number should be divisible only by itself and by 1.

The capital of Bangladesh “Dhaka” is the world’s most crowded city with a population density of 44,500 people per square kilometre, released by World Economic Forum (WEF), citing UN Habitat data. According to UN Habitat data, of the top 10 most densely populated cities in the world, six are in Asia, three are in Africa and one is in South America. India’s financial capital Mumbai, home to 31,700 people per square kilometre has acquired second place, where as Kota in Rajasthan with 12,100 people per square kilometre was ranked seventh. Others in the list include Medellin in Columbia (3rd), Manila in Philippines (4th, 14,800), Casablanca in Morocco (5th, 14,200), Lagos in Nigeria (6th, 13,300), Singapore (8th, 10,200) and Jakarta in Indonesia (9th, 9,600).