Data Sufficiency questions appeared when IDBI Assistant Manager exam was conducted last time and it won\u2019t be surprising if you face them this year as well. Questions on Data Sufficiency are scoring in nature provided you have done enough practice beforehand and are careful enough while answering the questions. These questions are a little bit tricky in the sense that you don\u2019t have to solve the complete question but you just have to ascertain if the given data is sufficient to answer the question or not. In this article, we will be covering data sufficiency concepts, tips, solved examples and questions for practice which will definitely help you improve your score in the upcoming IDBI Asst Manager exam.<\/p>\n\n\n\n
Here you are given a problem which could relate to any topic of quantitative aptitude (ranging from time & work to profit & loss to averages etc.). You are also given 2 statements and then you are asked which combination of the given statements is just sufficient to answer the question. So if a question has been asked and there are 2 statements labelled I & II. You have to ascertain:<\/p>\n\n\n\n
Also, an important point to note is that the definition of \u2018sufficient information\u2019 is if from that information 1 numerical value can be determined.<\/p>\n\n\n\n
There isn\u2019t any doubt that you have to know the topic properly which is asked in the question (for example, in the below example, the topic is simple interest). So if a simple interest problem is asked in a data sufficiency question and you don\u2019t know the concept & formulas of simple interest, you can\u2019t answer that question correctly. You need to be very cautious when answering data sufficiency questions as aspirants are prone to make mistakes while answering these questions. Sometimes, the answer can be just found out by the first option and aspirants don\u2019t care to check if the second option alone is sufficient to answer the question and therefore answering the question incorrectly. We\u2019ll be mentioning this and other tips below. Let\u2019s first understand the concept of data sufficiency better with the help of an example:<\/p>\n\n\n\n
Directions: The question consists of two statements numbered \u201cI and II\u201d given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n
A man deposited different amounts in two different banks i.e. A and B. The simple interest offered by bank A and bank B is 15% and 30%, respectively. Find the amount deposited in bank B.<\/p>\n\n\n\n
Statement I: The total simple interest earned from both banks together in 2 years is 4800.<\/p>\n\n\n\n
Statement II: The total simple interest earned from both banks together in 3 years is 7200.<\/p>\n\n\n\n
a) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n
b) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n
c) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n
d) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n
e) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n
Answer: d<\/p>\n\n\n\n
Solution:<\/p>\n\n\n\n
Let the amount deposited in bank A and bank B be Rs. \u2018x\u2019 and Rs. \u2018y\u2019, respectively.<\/p>\n\n\n\n
Statement I:<\/p>\n\n\n\n
(x \u00d7 15 \u00d7 2)\/100 + (y \u00d7 30 \u00d7 2)\/100 = 4800<\/p>\n\n\n\n
0.3x + 0.6y = 4800 <\/p>\n\n\n\n
So, data in statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n
Statement II:<\/p>\n\n\n\n
(x \u00d7 15 \u00d7 3)\/100 + (y \u00d7 30 \u00d7 3)\/100 = 7200<\/p>\n\n\n\n
0.45x + 0.9y = 7200 <\/p>\n\n\n\n
So, data in statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n
Combining statement I and statement II:<\/p>\n\n\n\n
0.3x + 0.6y = 4800 \u2014\u2014\u2014(1)<\/p>\n\n\n\n
0.45x + 0.9y = 7200 \u2014\u2014\u2014-(2)<\/p>\n\n\n\n
Multiplying eq. (1) by 1.5, we get eq. (2).<\/p>\n\n\n\n
So, both equations cannot be solved.<\/p>\n\n\n\n
Therefore, the data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n
Hence, option d.<\/p>\n\n\n\n
Some aspirants have the misconception that data sufficiency questions are easy because you don\u2019t have actually to solve the question. Data Sufficiency questions are not easy when compared with other questions because you have to be extra careful while ascertaining which combination of the given statement is just sufficient to answer the question. This combination should not provide even an iota of less\/more information than what is required to answer the question.<\/p>\n\n\n\n
If you get the answer just from the first statement, you might get overjoyed and tick the option which says: only statement 1 is sufficient to answer the question. This will lead you to an incorrect answer. Please note that in all scenarios, you should check the Statement II as well.<\/p>\n\n\n\n
New things are always expected in banking exams. Although generally the format and placement of all the 5 options are as given below, there can be slight variations in different data sufficiency questions.<\/p>\n\n\n\n
So, for each and every question, check the options carefully before marking th e answer.<\/p>\n\n\n\n
Since you don\u2019t have to calculate the answer, but you just have to ascertain what information is required to answer the question, this step becomes extremely important. Sometimes the question asks an exact numerical value, sometimes it only asks the ratio and at times it asks yes or no. We suggest solving a lot of data sufficiency questions and analyze the ones which you answered incorrectly.<\/p>\n\n\n\n
Since any data sufficiency question will include one or the other topic, it\u2019s important that you revise all the concepts of quantitative aptitude. Even if you know all the tricks of data sufficiency, you will not be able to answer the question correctly if you are not aware of the concept asked in the DS question.<\/p>\n\n\n\n
1. The question consists of two statements numbered \u201cI and II\u201d given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n
If perimeter of a rectangle is 188 cm, then find its area.<\/p>\n\n\n\n
Statement I: Length is 35% more than breadth.<\/p>\n\n\n\n
Statement II: Breadth is 14 cm less than length.<\/p>\n\n\n\n
a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n
b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n
c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n
d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n
e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n
Answer: c)<\/p>\n\n\n\n
Solution:<\/p>\n\n\n\n
Statement I:<\/p>\n\n\n\n
Let, breadth be \u2018x\u2019 cm<\/p>\n\n\n\n
Length = \u20181.35x\u2019 cm<\/p>\n\n\n\n
So, 2 \u00d7 2.35x= 188<\/p>\n\n\n\n
x = 40<\/p>\n\n\n\n
Area of rectangle = 1.35x \u00d7 x = 2160 cm2<\/sup><\/p>\n\n\n\n So, data in statement I alone is sufficient to answer the question.<\/p>\n\n\n\n Statement II:<\/p>\n\n\n\n Let, breadth be \u2018x\u2019 cm<\/p>\n\n\n\n Length = \u2018x + 14\u2019 cm<\/p>\n\n\n\n So, 2 \u00d7 (2x + 14) = 188<\/p>\n\n\n\n 4x = 160<\/p>\n\n\n\n x = 40<\/p>\n\n\n\n Area of rectangle = 40 \u00d7 54 = 2160 cm2<\/sup><\/p>\n\n\n\n So, data in statement II alone is sufficient to answer the question.<\/p>\n\n\n\n Hence, option c.<\/p>\n\n\n\n 2. The question consists of two statements numbered \u201cI and II\u201d given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n An article was sold at 20% profit. Find its cost price.<\/p>\n\n\n\n Statement I: Marked price was Rs. 1000 and discount was 28%.<\/p>\n\n\n\n Statement II: Marked price was Rs. 400 more than cost price.<\/p>\n\n\n\n a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n Answer: a)<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n Statement I:<\/p>\n\n\n\n Selling price = 0.72 \u00d7 1000 = Rs. 720<\/p>\n\n\n\n Cost price = 720\/1.2 = Rs. 600<\/p>\n\n\n\n So, data in statement I alone is sufficient to answer the question.<\/p>\n\n\n\n Statement II:<\/p>\n\n\n\n Nothing can be concluded from this statement.<\/p>\n\n\n\n So, data in statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n Hence, option a.<\/p>\n\n\n\n 3. The question consists of two statements numbered \u201cI and II\u201d<\/em> given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n If an item is sold at 25% discount, then it gives a profit of 25%. Find the selling price (in Rs.) of the item.<\/p>\n\n\n\n Statement-I: If it is sold for Rs. 45 more, then profit percentage is 40%.<\/p>\n\n\n\n Statement-II:If marked up price of item is increased by 10%, and discount rate remains the same, then profit percentage is 37.5%.<\/p>\n\n\n\n a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n Answer: a)<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n Let, cost price of item be Rs. x.<\/p>\n\n\n\n So, selling price = Rs. 1.25x<\/p>\n\n\n\n So, mark-up price = 1.25x\/0.75 = Rs. (5\/3)x<\/p>\n\n\n\n Statement-I:<\/p>\n\n\n\n According to question,<\/p>\n\n\n\n (1.25x + 45) = 1.4x<\/p>\n\n\n\n 1.4x \u2013 1.25x = 45<\/p>\n\n\n\n 0.15x = 45<\/p>\n\n\n\n x = 45\/0.15<\/p>\n\n\n\n x = Rs. 300<\/p>\n\n\n\n So, selling price = Rs. 1.25x = Rs. 375<\/p>\n\n\n\n Therefore, question can be solved using statement-I.<\/p>\n\n\n\n Statement-II:<\/p>\n\n\n\n Marked up price = (5\/3)x \u00d7 1.1 = Rs. (5.5\/3)x<\/p>\n\n\n\n According to question,<\/p>\n\n\n\n (5.5\/3)x \u00d7 0.75 = 1.375x<\/p>\n\n\n\n 1.375x = 1.375x<\/p>\n\n\n\n Therefore, question can\u2019t be solved using statement-II.<\/p>\n\n\n\n Hence, option a.<\/p>\n\n\n\n 4. The question consists of two statements numbered \u201cI and II\u201d<\/em> given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n The ratio of the population of males to the population of females is 15:13, respectively. What is the population of the city?<\/p>\n\n\n\n Statement-I: The difference between population of males and the population of females is 1000.<\/p>\n\n\n\n Statement-II: The population of females is 6500.<\/p>\n\n\n\n a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n Answer: c)<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n The ratio of the population of males to the population of females is 15x, and 13x, respectively.<\/p>\n\n\n\n Population of city = 15x + 13x = 28x<\/p>\n\n\n\n Statement-I:<\/p>\n\n\n\n According to question,<\/p>\n\n\n\n 15x \u2013 13x = 1000<\/p>\n\n\n\n 2x = 1000, x = 500<\/p>\n\n\n\n Therefore, population of city = 28 \u00d7 500 = 14000<\/p>\n\n\n\n Therefore, question can be solved using statement-I alone.<\/p>\n\n\n\n Statement-II:<\/p>\n\n\n\n According to question,<\/p>\n\n\n\n 13x = 6500<\/p>\n\n\n\n x = 6500\/13, x = 500<\/p>\n\n\n\n Therefore, population of city = (15 + 13) \u00d7 500 = 14000<\/p>\n\n\n\n Therefore, question can be solved using statement-II alone.<\/p>\n\n\n\n Hence, option c.<\/p>\n\n\n\n 5. The question consists of two statements numbered \u201cI and II\u201d given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n Find the average of the five consecutive natural numbers.<\/p>\n\n\n\n Statement I: Largest natural number is 4 more than the smallest natural number.<\/p>\n\n\n\n Statement II: Largest natural number is 50% more than the smallest natural number.<\/p>\n\n\n\n a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n Answer: b)<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n Statement I:<\/p>\n\n\n\n Let the numbers are x, x + 1, x + 2, x + 3 and x + 4, respectively.<\/p>\n\n\n\n According to question: x + 4 \u2013 x = 4<\/p>\n\n\n\n 4 = 4<\/p>\n\n\n\n Here \u2018x\u2019 is eliminated, so the numbers can\u2019t be determined.<\/p>\n\n\n\n So, data in statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n Statement II:<\/p>\n\n\n\n Let the numbers are x, x + 1, x + 2, x + 3 and x + 4 respectively.<\/p>\n\n\n\n According to question: 1.5x = x + 4<\/p>\n\n\n\n 0.5x = 4, x = 8<\/p>\n\n\n\n So, the numbers are 8, 9, 10, 11 and 12<\/p>\n\n\n\n Average of the numbers = (8 + 12)\/2 = 10<\/p>\n\n\n\n So, data in statement II alone is sufficient to answer the question.<\/p>\n\n\n\n Hence, option b.<\/p>\n\n\n\n 6. The question consists of two statements numbered \u201cI and II\u201d<\/em> given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n A person invests Rs. 4200 for four years at simple interest. Find the final amount he would get after the stipulated time.<\/p>\n\n\n\n Statement-I: The interest earned in the third year is Rs. 504.<\/p>\n\n\n\n Statement-II: The rate of simple interest is 12% p.a.<\/p>\n\n\n\n a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n Answer: c)<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n Statement-I:<\/p>\n\n\n\n Simple interest earned in 4 years = 504 \u00d7 4 = Rs. 2016<\/p>\n\n\n\n Amount he would get after 4 years = 4200 + 2016 = Rs. 6216<\/p>\n\n\n\n So, statement I alone is sufficient to answer the question.<\/p>\n\n\n\n Statement-II:<\/p>\n\n\n\n Amount he would get after 4 years = 4200 + (4200 \u00d7 12 \u00d7 4)\/100 = Rs. 6216<\/p>\n\n\n\n So, statement II alone is sufficient to answer the question.<\/p>\n\n\n\n Hence, option c.<\/p>\n\n\n\n 7. The question consists of two statements numbered \u201cI and II\u201d<\/em> given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n Find the length of train A which travels with the same speed whenever it travels from one place to another.<\/p>\n\n\n\n Statement-I: Train A can cross a platform of length (x + 60) m in 20 seconds with the speed of 30 m\/s.<\/p>\n\n\n\n Statement-II: Train A can cross a pole in 12 seconds.<\/p>\n\n\n\n a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n Answer: e)<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n Let, the length and speed of train A be \u2018l\u2019 m and \u2018s\u2019 m respectively.<\/p>\n\n\n\n Statement-I:<\/p>\n\n\n\n According to question,<\/p>\n\n\n\n [l + (x + 60)] = 30 \u00d7 20<\/p>\n\n\n\n (l + x) = 600 \u2013 60 = 540 \u2026 (i)<\/p>\n\n\n\n Therefore, question can\u2019t be solved using statement-I.<\/p>\n\n\n\n Statement-II:<\/p>\n\n\n\n l = 12 \u00d7 s<\/p>\n\n\n\n Therefore, question can\u2019t be solved using statement-II.<\/p>\n\n\n\n Combining statement-I and statement-II, we get,<\/p>\n\n\n\n l = 12 \u00d7 30 = 360 m<\/p>\n\n\n\n Therefore, question can be solved by combining statement-I and statement-II<\/p>\n\n\n\n Hence, option e.<\/p>\n\n\n\n 8. The question consists of two statements numbered \u201cI and II\u201d<\/em> given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n A man deposited some amount of money in scheme A and scheme B in the ratio of 8:11, respectively. Find the interest earned from scheme A after 5 years.<\/p>\n\n\n\n Statement I: The difference between the amount deposited in scheme A and scheme B is Rs. 3000.<\/p>\n\n\n\n Statement II: The rate of simple interest offered by scheme A is 8% p.a.<\/p>\n\n\n\n a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n Answer: e)<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n Let the amount deposited in scheme A and scheme B be Rs. 8x and Rs. 11x, respectively.<\/p>\n\n\n\n Statement I:<\/p>\n\n\n\n 11x \u2013 8x = 3000<\/p>\n\n\n\n 3x = 3000<\/p>\n\n\n\n x = 1000<\/p>\n\n\n\n Amount deposited in scheme A = 8x = Rs. 8000<\/p>\n\n\n\n Since, we don\u2019t know the rate of interest offered by scheme A.<\/p>\n\n\n\n So, statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n Statement II:<\/p>\n\n\n\n Statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n Combining statements, I and statement II:<\/p>\n\n\n\n 11x \u2013 8x = 3000<\/p>\n\n\n\n 3x = 3000, x = 1000<\/p>\n\n\n\n Amount deposited in scheme A = 8x = Rs. 8000<\/p>\n\n\n\n Interest earned from scheme A after 5 years = (8000 \u00d7 8 \u00d7 5)\/100 = Rs. 3200<\/p>\n\n\n\n Hence, option e.<\/p>\n\n\n\n 9. The question consists of two statements numbered \u201cI and II\u201d<\/em> given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n Find the time taken by boatman to travel 480 km in still water.<\/p>\n\n\n\n Statement-I: The upstream speed of the boatman is 4 km\/hour less than the downstream speed, and speed of boatman in still water is 20% less than downstream speed of boatman.<\/p>\n\n\n\n Statement-II: The speed of boatman downstream and upstream is 10 km\/hour and 6 km\/hour, respectively.<\/p>\n\n\n\n a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n Answer: c)<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n Let, speed of boatman and stream be B km\/hour and s km\/hour, respectively.<\/p>\n\n\n\n Statement-I:<\/p>\n\n\n\n (B + s) = (B \u2013 s) + 4<\/p>\n\n\n\n 2s = 4<\/p>\n\n\n\n s = 4\/2 = 2 km\/hour\u2026\u2026 (i)<\/p>\n\n\n\n Also, B = 0.8(B + s)<\/p>\n\n\n\n Using equation (i), we get,<\/p>\n\n\n\n B = 0.8B + 0.8 \u00d7 2<\/p>\n\n\n\n B = 1.6\/0.2 = 8 km\/hour<\/p>\n\n\n\n Therefore, required time = 480\/8 = 60 hours<\/p>\n\n\n\n So, data in statement-I alone is sufficient to answer the question.<\/p>\n\n\n\n Statement-II:<\/p>\n\n\n\n (B + s) = 10 \u2026 (i)<\/p>\n\n\n\n And, (B \u2013 s) = 6 \u2026 (ii)<\/p>\n\n\n\n Solving both equations, we get,<\/p>\n\n\n\n B = 8 km\/hour and s = 2 km\/hour<\/p>\n\n\n\n Therefore, required time = 480\/8 = 60 hours<\/p>\n\n\n\n So, data in statement-II alone is sufficient to answer the question.<\/p>\n\n\n\n Hence, option c.<\/p>\n\n\n\n 10. The question consists of two statements numbered \u201cI and II\u201d<\/em> given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n A, B and C are hired to do a certain piece of work for Rs. 4,200. All of them started working together and finished the work in 20 days. In how many days B alone can complete the work?<\/p>\n\n\n\n Statement-I: A received Rs. 1400 for his work. C alone can complete the work in 50 days.<\/p>\n\n\n\n Statement-II: A is 25% more efficient than B. C received Rs. 1,680 for his work.<\/p>\n\n\n\n a.) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n b.) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n c.) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n d.) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n e.) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n Answer: c)<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n Statement-I:<\/p>\n\n\n\n Time taken by A alone to complete the work = (4200\/1400) \u00d7 20 = 60 days<\/p>\n\n\n\n Let the total work = 300 units (LCM of 50, 60 and 20)<\/p>\n\n\n\n Amount of work done by A alone in one day = 300\/60 = 5 units<\/p>\n\n\n\n Amount of work done by C alone in one day = 300\/50 = 6 units<\/p>\n\n\n\n Amount of work done by A, B and C together in one day = 300\/20 = 15 units<\/p>\n\n\n\n Amount of work done by B alone in one day = 15 \u2013 6 \u2013 5 = 4 units<\/p>\n\n\n\n Time taken by B alone to complete the work = 300\/4 = 75 days<\/p>\n\n\n\n So, data in statement-I alone is sufficient to answer the question.<\/p>\n\n\n\n Statement-II:<\/p>\n\n\n\n Time taken by C alone to complete the work = (4200\/1680) \u00d7 20 = 50 days<\/p>\n\n\n\n Let the time taken by A alone to complete the work = x days<\/p>\n\n\n\n Time taken by B alone to complete the work = 1.25x days<\/p>\n\n\n\n According to question: 1\/x + 1\/1.25x + 1\/50 = 1\/20<\/p>\n\n\n\n 2.25\/1.25x = 3\/100<\/p>\n\n\n\n 9\/5x = 3\/100<\/p>\n\n\n\n x = 60<\/p>\n\n\n\n So, the time taken by B alone to complete the work = 1.25 \u00d7 60 = 75 days<\/p>\n\n\n\n So, data in statement-II alone is sufficient to answer the question.<\/p>\n\n\n\n Hence, option c.<\/p>\n\n\n\n We will cover data sufficiency concepts, tips, solved examples\/ questions for practice which will improve your score in the IDBI AM exam.<\/p>\n","protected":false},"author":3,"featured_media":35377,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[22,24,603],"tags":[133,261,227],"class_list":["post-35346","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-banking-insurance","category-exams","category-idbi-asst-manager","tag-free-pdfs","tag-quant-free-pdfs","tag-quantitative-aptitude"],"yoast_head":"\n
\n\n\n\nIDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n\n\n\n
\n\n\n\nIDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n\n\n\n
\n\n\n\nIDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n\n\n\n
\n\n\n\nIDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n\n\n\n
\n\n\n\nIDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n\n\n\n
\n\n\n\nIDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n\n\n\n
\n\n\n\nIDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n\n\n\n
\n\n\n\nIDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n\n\n\n
\n\n\n\nIDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n\n\n\n
IDBI Asst Manager- Take a Free Mock Test<\/a><\/h2>\n","protected":false},"excerpt":{"rendered":"