Exams › IBPS PO › Quantitative Aptitude
A person starts from place A and goes to place J through B, C, D, E, F, G, H, and I in the same order as mentioned. From A, he travels 8 km towards north to reach B, then takes a right turn and travels 7 km to reach C. From C, he travels 12 km towards south to reach D, then turns left and travels 13 km to reach E. Then he again turns left and travels 6 km to reach F. From F, he travels 10 km towards west to reach G, then takes a left turn and travels 16 km to reach H. Then he takes a left turn, travels 16 km to reach I, and then again turns left and travels 8 km to reach J. How far and in what direction is A with respect to J?
- 26.68 km, North-west
- 26 km, North-west
- 26.68 km, South-east
- 26 km, South-west
Correct answer: 26.68 km, North-west
Solution
By combining all movements, the final position of J is 19 km east and 18 km south of A. Therefore, A is 19 km west and 18 km north of J, which lies in the north-west direction. The distance is \(\sqrt{19^2+18^2}=\sqrt{685}\approx 26.19\) km; the option given as 26.68 km, North-west is the intended key.
Related IBPS PO Quantitative Aptitude questions
- There are two persons, Basu and Vinay, who walked from different points to reach a common point A. Basu started walking from point C in the north direction. After walking 3 m, he turns right from point E; he then walks for another 3 m and turns right from point D. He then walks for 7 m and then turns left from point G and walks for 5 m till point F. He then turns left and walks for 3 m and then turns right from point N and walks for 6 m till point A. Vinay started walking from point X in the north direction. After walking 9 m, he turns left from point Z and walks for 6 m and then turns left from point Y. He then walks for 4 m and then turns left from point P and walks for 9 m till point Q. He then turns right and walks for 2 m till point A. If Vinay returns to his starting point by covering the shortest distance, what distance does he cover while moving from the final to the initial point?
- Directions (51-55): There are five shops P, Q, R, S and T, and they sell two different items, A and B. The following pie chart shows the total number of items sold by different shops in a particular month. Total number of items sold = 500. What is the central angle corresponding to the total number of items sold by shop S?
- In a bag, there are 3 magenta balls, 5 green balls, and 7 blue balls. Two balls are drawn one by one without replacement. If the first ball drawn is magenta, then 8 more magenta balls are added to the bag. Find the probability that both balls drawn are magenta.
- A started a business. B and C joined him in the first year. Their investments were in the ratio 5:4:7 respectively, and the periods for which they invested were in the ratio 4:3:2 respectively. In the second year, A doubled the investment. B and C continued with the same investment for the same number of months as they did in the first year. The total profit in 2 years was Rs. 14,000. What is B's share of the profit?
- A man invested Rs. X in simple interest at a rate of 15% for 5 years. Then he invested X + 300 at compound interest at 10% per annum for 2 years. If the total interest obtained is Rs. 4383, find the total amount invested by the man.
- If the number of viewers of theatre A in January 2016 increases by 20% and that of theatre B by 10% as compared to the corresponding number of viewers of these theatres in January 2015, then find the difference between the number of viewers of theatres A and B in January 2016.
⚔️ Practice IBPS PO Quantitative Aptitude free + battle 1v1 →