Directions(1-5): Arithmetic Word Problems
1. The cost of 4 kg rice and 8 kg wheat is Rs.320. With the same amount a man can buy 2 kg rice and 12 kg wheat. What will the cost of 24 kg rice?

A. Rs.640 B. Rs.730 C. Rs.810 D. Rs.960

Answer : Option D
Explanation: Let the price of 1 kg rice be Rs.r Let the price of 1 kg wheat be Rs.w Given that, the cost of 4 kg rice and 8 kg wheat is Rs.320. i.e., 4r + 8w = 320 r + 2w = 80 ....(1) Cost of 2 kg rice and 12 kg wheat is Rs. 320. i.e., 2r + 12w = 320 r + 6w = 160 ....(2) Subtracting (1) from (2), we have 4w = 80 w = 20. i.e., price of 1 kg wheat is Rs.20 From (1), r + 40 = 80 r = 40 Price of 24 kg rice = Rs.24 x 40 = Rs. 960.
2. If 17 doors, 12 chairs and 15 tables cost Rs. 37,000 then how much does 51 doors, 45 tables and 36 chairs cost?

A. Rs.111000 B. Rs.215000 C. none of these D. cannot be determined.

Answer : Option A
Explanation: Let the cost of 1 door be Rs. d Let the cost of 1 table be Rs. t Let the cost of 1 chair be Rs. c. We have to find the value of 51d + 36 c + 45t....(1) Given that, 17d + 12 c + 15 t = Rs.37000...(2) Here, we have 1 equation and 3 unknowns. So it is impossible to find d, t and c. But, we can find the value of (1) by simplifying as follows: 51d + 36c + 45t = 3x17d + 3x12c + 3x15t = 3(17d + 12c + 15t). From (2), we have 3(17d + 12c + 15t) = 3(37000) = 111000. Hence the required answer is Rs.111000.
3. In a Zoo, there are some lions and parrots. If the number of legs is 6 less than 4 times the number of heads, then what is the number of parrots in the Zoo?

A. 6 B. 3 C. none of these D. cannot be determined

Answer : Option B
Explanation: Let the number of lions in the Zoo be L and number of parrots be P. Each lion has 4 legs and each parrot has 2 legs. Therefore, Total number of legs of lions and parrots = 4L + 2P Total number of heads = L + P Given that, (4L + 2P) + 6 = 4(L + P) 4L + 2P + 6 = 4L + 4P 2P + 6 = 4P 2P = 6 P = number of parrots = 3.
4. If in a group of dogs and crows, the number of heads is 24 and the number of feet is 70 then the number of crows will be:

A. 8 B. 13 C. none of these D. cannot be determined

Answer : Option B
Explanation: Let the number of dogs in the group be d and number of crows be c. Total number of legs = 4d + 2c = 70 ...(1) Total number of heads = d + c = 24 => 4d + 4c = 96......(2) Now, Subtracting (2) from (1), we have, 2c = 96 - 70 = 26 => c = 13. Hence, the required number of crows in the group is 13.
5. The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?

A. Rs18, Rs8 B. Rs15, Rs11 C. Rs10, Rs16 D. Rs12, Rs14

Answer : Option C
Explanation: Total cost of 10 books = Rs. 120. The total cost of 8 books = Rs. 94. The cost of 2 books = Rs. 26. Let the price of each book be x and y. x + y = 26 Given that the price of 1 book is 60% more than the other price 100 x + 160x = 26 260x = 26 X = 10 then y = 26 - 10 = 16. ∴ Required sum = (19 + 29 + 37) = 85.

Directions(1-5): Data Sufficiency 1. What is the direction of point A with respect to point K? Statement I: Point A is 6 m to the west of point B. Point C is 6 m to the south of point B. Point E is 4 m to the south of point D. Point C is 8 m to the west of point D. Point E is 10 m to the east of point F. Statement II: Point I is 7 m to the north of point H. Point I is 3 n to the west of point J. Point H is 6 m to the west if point G. Point F is 4 m to the north of point G. Point K is 2 m to the south of point J.

A. If the data in statement I alone is sufficient to answer the question. B. If the data in statement II alone is sufficient to answer the question. C. If the data either in statement I alone or statement II alone are sufficient to answer the question. D. If the data in both the statements I and II together are necessary to answer the question.

Answer : Option D
Explanation: Point A in statement I and K in statement II. Point F in both statement s joins them to tell the direction.
2. What is the distance between the final positions of Arun and Amit? Statement I: Arun starts from a point in north direction. After walking for 6 m he turns to the right and walks 8 m to reach point B. Next, he takes a right turn again and walks 5 m before turning to left. Next, he walks 7 m and turns right. Leaks for 5 m and stops finally. Statement II: Amit starts walking in south direction from point B. Walks for 8 m and takes a left turn. Next walks for 10 M and turns to the right, walks for and finally stops.

A. If the data in statement I alone is sufficient to answer the question. B. If the data in statement II alone are sufficient to answer the question. C. If the data either in statement I alone or statement II alone are sufficient to answer the question. D. If the data given in both I and II together are not sufficient to answer the question.

Answer : Option D
Explanation: Since we do not know the final distance of Amit we cannot know the actual stopping point of Amit so cannot be determined from any of the statement or both together.
3. How is B related to A? Statement I: K is brother of B. A is father of E. A is son of C. G is son of D. H is sister of G. Statement II: F is niece of G and sister of A. B is sister in law of G. D has only 3 children one of them being girl

A. If the data in statement I alone is sufficient to answer the question. B. If the data in statement II alone is sufficient to answer the question. C. If the data either in statement I alone or statement II alone are sufficient to answer the question. D. If the data given in both I and II together are not sufficient to answer the question.

Answer : Option D
Explanation: From both statements C and D are not linked in any way. If c and d are a couple then only B is wife of A.
4. How is ‘may’ written in code language? Statement I: In that code language, ‘she he we’ is written as ‘ip ap de’ and ‘they we may’ is written as ‘ip pu od’. Statement II: ‘she could we’ is written as ‘ap su ip’ and ‘we he should’ is written as ‘en de ip’.

A. If the data in statement I alone is sufficient to answer the question. B. If the data in statement II alone is sufficient to answer the question. C. If the data either in statement I alone or statement II alone are sufficient to answer the question. D. If the data given in both I and II together are not sufficient to answer the question.

Answer : Option D
Explanation: Codes for they and may both are unknown, so can’t be find for ‘may’.
5. Who is tallest among – A, B , C, D, E and F? Statement I: C is taller than B and shorter than D. D is not the tallest. B is taller than E. F is taller than C and also A. Statement II: F is taller than C and B both. D is taller than B. E is shorter than B. A is shorter than D.

A. If the data in statement I alone is sufficient to answer the question. B. If the data in statement II alone is sufficient to answer the question. C. If the data either in statement I alone or statement II alone are sufficient to answer the question. D. If the data in both the statements I and II together are necessary to answer the question.

Answer : Option A
Explanation: From I F is tallest. From II F or D is tallest.

Directions(1-5): Missing Numbers 1. 30. Complete the series 95, 115.5, 138, ..., 189

A. 160.5 B. 162.5 C. 164.5 D. 166.5

Answer : Option B
Explanation: I95 + 20.5 = 115.5 115.5 + 22.5 = 138 138 + 24.5 = 162.5 162.5 + 26.5 = 189
2. 4, 10, (?), 82, 244, 730

A. 26 B. 28 C. 40 D. 48

Answer : Option B
Explanation: 4 × 3 - 2 = 10 10 × 3 - 2 = 28 28 × 3 - 2 = 82 82 × 3 - 2 = 244 244 × 3 - 2 = 730
3. Complete the series 20, 19, 17, ...., 10, 5

A. 15 B. 16 C. 13 D. 14

Answer : Option D
Explanation: 20 - 1 = 19 19 - 2 = 17 17 - 3 = 14 14 - 4 = 10 10 - 5 = 5
4. 1, 0.5, 0.25, 0.125, 0.0625, ?

A. 0.015625 B. 0.03125 C. 0.0078125 D. None of these

Answer : Option B
Explanation: Divide by 2 to get the next term
5. 7, 21, 63, 189, 567, ?

A. 1521 B. 1609 C. 1307 D. 1701

Answer: Option D
Explanation: Multiply a term with 3 to get the next term