CAT Questions

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Let the number of buffaloes be x

 and number of ducks be y.

Now, number of heads = x+y

Number of legs = 4x+2y  .......(1) 

But given that legs = 2(x+y)+24 ......(2)

solving (1) & (2),we get

4x+2y=2x+2y+24 

--> x=12.

Therefore number of buffaloes =12

Van Ki Asha means Hope of forest. Banas river of Rajasthan is known as Van Ki Asha. It passes through Udaipur originating from aravallis. It is the longest river with length 512 kms in Rajasthan having full flow.

Lt. Gen. Sanjeev Kumar Shrivastava took over as the 25th Director General of the Border Roads (DGBR). He has replaced Lt. Gen. Suresh Sharma. Prior to it, he was holding the appointment of Director General Combat Engineers at Integrated Headquarters of Ministry of Defence(Army).

The World Anti-Doping Agency (WADA) is a foundation created through a collective initiative led by the International Olympic Committee (IOC). It was set up on 10 November 1999 in Lausanne, Switzerland, as a result of what was called the "Declaration of Lausanne", to promote, coordinate and monitor the fight against drugs in sports. Since 2002, the organization's headquarters have been located in Montreal, Quebec, Canada.

With 9 gold, 12 silver and 19 bronze, India won 40 medals in 5th Asian Indoor and Martial Arts Games and finished the Games at 11th.

Senior IPS officer Alok Kumar Verma, Delhi Police Commissioner was appointed as new Director of the Central Bureau of Investigation. He will have tenure of two years. He was selected by a three-member committee comprising Prime Minister Narendra Modi, Chief Justice J S Khehar and Congress leader Mallikarjun Kharge. He will take over from interim director Rakesh Asthana, who was handed the reins of the premier investigating agency after former director Anil Sinha retired on December 2, 2016.

Let workdone 1 boy in 1 day be b

and that of 1 girl be g

From the given data,

4(5b + 3g) = 23

20b + 12g = 23 .......(a)

2(3b + 2g) = 7

6b + 4g = 7 ........(b)

Solving (a) & (b), we get

b = 1, g = 1/4

Let number og girls required be 'p'

6(7 x 1 + p x 1/4) = 45

=> p = 2.

Hence, number of girls required = 2