NAT CAT Test : Solutions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
131313
4 4 2 5 3 1 2 5 2 5 3 3 3
A6
14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.
4 1 2 3 3 1 5 4 1 3 2 2
A
Directions for Qs. 1 – 5: Refer to the following information for the following solutions. We need to make a single table which shows the Auditoriums, Show-times and the movie together, like this: Screen-1 Screen-2 Screen-3 Screen-4
Morning
Afternoon
Evening
Night
Black
First clue to fill the table is Cheeni Kum was not run in Screen – 3. In night show Black was run in screen – 4, hence Cheeni Kum must be run in Screen – 1 and Screen – 2 and Aankhen run in Screen – 3 during the night show. Then using the clues we can complete the table as below: Screen-1 Screen-2 Screen-3 Screen-4
Morning Aankhen Cheeni Kum Aankhen / Black Black / Aankhen
Afternoon Sarkar Raj Black Black / Aankhen Aankhen / Black
1.
(4)
2.
(4)
3.
(2)
4.
(5)
5.
(3)
6.
(1); 3C2 X 3C1 X 6C5
7.
(2); Player M, N, O and P must be in the team.
8.
(5); Cannot be determined
9.
(2)
10.
(5); Both option (2) and (4) are true.
Evening Aankhen Aankhen Sarkar Raj Cheeni Kum
Night Cheeni Kum Cheeni Kum Aankhen Black
Directions for Qs. 11 – 15: Refer to the following information for the following solutions. Given, T = 2U = 3G = 4M T : U : G : M = 12 : 6 : 4 : 3 Let, T = 12k, U = 6k, G = 4k and M = 3k 11.
(3); Let the person invest 'a' Ukas One kg. of food grain at UP = 50 x 6k x 1.1 = 330k Now this one Kg. is sold at Gujarat. 45 x 4k x 100 3600k Amount earned = = 156.5 k 115 23
131313
A7
A
∴ Loss percentage
330k −156.5 330 k
= 52.5 % 12.
(3); Let the rice required for 100 days be x Kgs. One Kg of rice bought in MP = 25 x 3k x 1.1 = 82.5k Value of x Kgs = 82.5k One kg of rice bought in Tamil Nadu = 30 x 12k x 1.05 = 378k 82.5 Now for a value of 82.5kx, he will obtain only ≅ 22% of x Kgs. or he can travel for only 22 days 378
13.
(3); One Kg of pulses in MP = 20 x 3 x 1.1. = 66k 10 x 12k x 20 One Kg. of pulses in Tamil Nadu = = 114.3 k 21 He gets a profit of 20% i.e., his selling Price in Tamil Nadu 66k x 1.2 = 79.2k Now, customs duty per Kg. = 114.3k - 79.2k = 35.1k 35.1 k Takas ≅ 3 Takas = 12
14.
(4); From the choices a 45 2 (1) x x
15.
(2)
a 30 x x2 rel="nofollow">a 30 x 1.1 1.05
(3)
a 20 1 x x
(1); Let the investment be 'a' Takas. ∴ If a person bought in MP, quantity =
4a ……..(1) 20 x 1.1
3a ……..(2) 15 x 1.15 As (1) rel="nofollow"> (2), it is profitable to buy in MP, Similarly for a certain quantity of pulses, it is profitable to sell in Tamil Nadu. If a person bought in Gujarat, quantity =
16.
(2); I and II
17.
(3); I and III
18.
(3); I and II
19.
(1); I, II and III
20.
(5); Cannot be determined
131313
A8
A
21.
(4); Some people can be lawyers as well as women Also passage of the bill is not defined. ∴ We cannot find out the answer.
22.
(1); Average age =
23.
(3); Minimum case is when all the Rajya Sabha female members are Hindus, i.e., 42. So, minimum number of Hindu males is 64.
24.
(2); Percentage of Congress(I) members =
25.
(2); 42
131313
63 x 550 + 58 x 250 = 61.43 550 + 250
267 +112 550 + 250
A9
A