CAT Questions

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Famous for Hot water springs and homeland for Hoolock Gibbons and Golden Langurs, The Garampani Wildlife Sanctuary is situated in Karbi Anglong of Diphu area. One of the oldest Sanctuary containing Hot water spring and waterfalls and surrounded by Nambour Sanctuary having 51 rare species of Orchid. It has a total area of 6 sq. Km.

The four northeast Indian states share 1,643-km border with Myanmar – Arunachal Pradesh, Nagaland, Mizoram and Manipur. It is in news recently, because the Indian Government has set up an expert committee to examine the rules which allow free movement of Indian and Myanmarese citizens within 16 kms of the border, but are exploited by militants for smuggling arms, drugs, and fake Indian currency. The committee will be headed by the special secretary (Internal Security) in the Ministry of Home Affairs. The committee will give its report for uniform and effective implementation of free movement regime within 3 months. It will also prepare standard operating procedures common for all the four states so that militants, criminals and contraband are filtered at the border without causing inconvenience to genuine people.

Gold coins = 18000 , Silver coins = 9600 , Bronze coins = 3600

Find a number which exactly divide all these numbers 

That is HCF of 18000, 9600& 3600 

All the value has 00 at end so the factor will also have 00.

HCF for 180, 96 & 36.

Factors of  

180 = 3 x 3 x 5 x 2 x 2

96 = 2 x 2 x 2 x 2 x 2 x 3 

36 = 2 x 2 x 3 x 3 

Common factors are 2x2×3=12

 Therefore, Actual HCF is 1200

Gold Coins 18000/1200 will be in 15 rooms

Silver Coins 9600/1200 will be in 8 rooms

Bronze Coins 3600/1200 will be in 3 rooms

Total rooms will be (15+8+3)  =  26 rooms.

              Men               Women

              600x               400x

      Total engineers = 480x

      Male engineers = 480x X 0.66 = 320

   Women who are Engineers  = 160x 

  Women are not Engineers  = 400x - 160x = 240x

 Required percentage = 240400x100 = 60%

Let 'P' be the original population at the beginning

P x (95/100) x (85/100) = 3553

P = 4400.

72 --- 9
? ---- 1

=> Down Stream = 8

45 ---- 9 
? ---- 1

=> Up Stream = 5

Speed od current S = ?

S = (8 - 5)/2 = 1.5 kmph.

Given when she sells at Rs. 160 for 20 articles, she get 40% loss.

Then, to get 20% profit selling at Rs. 240 for let 'P' articles

=> 1602060=240p120

=> 120 x 160 x P = 20 x 70 x 240

=> P =  15 articles.

Let the sum be Rs. 100. Then,
S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4
S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16
So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16
Effective rate = (108.16 - 100) = 8.16%.