Direction (1 – 5): Each question below is followed by two Statements [I] and [II]. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Q1. Ram sold an item. Find the M.P of the item?
[I]. Ram gave two successive discounts of 20% & 5% on marked price but after that take 25% more on discounted price as tax. Ram can earn 40 more if he sell the item at MP.
[II] .Ram gave two successive discount of MP i.e., 15% & 20% whereas Ram kept M.P. 50% more than the C.P. of that item.
(a) if the Statement [I] alone is sufficient to answer the question but the Statement [II] alone is not sufficient
(b) if the Statement [II] alone is sufficient to answer the question but the Statement [I] alone is not sufficient
(c) if both Statement [I] and [II] together are needed to answer the question
(d) if either the Statement [I] alone or Statement [II] alone is sufficient to answer the question
(e) if you cannot get the answer from the Statements [I] and [II] together but need even more data
Q2. Find the amount invested by Jagriti?
[I]. If jagriti invested half of the amount in Yes Bank at 5% p.a. for 3years and half the amount in Kotak Bank at 6% p.a. for 5 year, she got total Rs4500 as Simple Interest.
[II] . Jagriti will get 2420 more if she will invest in a bank at 10% p.a. for 3 year at compound interest rather than 10% p.a. for 2 year in same bank at compound interest
(a) if the Statement [I] alone is sufficient to answer the question but the Statement [II] alone is not sufficient
(b) if the Statement [II] alone is sufficient to answer the question but the Statement [I] alone is not sufficient
(c) if both Statement [I] and [II] together are needed to answer the question
(d) if either the Statement [I] alone or Statement [II] alone is sufficient to answer the question
(e) if you cannot get the answer from the Statements [I] and [II] together but need even more data
Q3. Whose body weight is second highest among the five boys Arun, Vinay, Suraj, Raju and Pratap?
I. Average weight of Arun, Suraj and Vinay is 68 kg and average weight of Raju and Pratap is 72 kg. Also Suraj is 78 kg. Raju is 68 kg and Vinay is 46 kg.
II. Average weight of Arun, Suraj, Vinay and Raju is 68 kg and also Suraj is 78 kg. Raju is 68 kg and Vinay is 46 kg. All of them have different weights.
(a) if the Statement [I] alone is sufficient to answer the question but the Statement [II] alone is not sufficient
(b) if the Statement [II] alone is sufficient to answer the question but the Statement [I] alone is not sufficient
(c) if both Statement [I] and [II] together are needed to answer the question
(d) if either the Statement [I] alone or Statement [II] alone is sufficient to answer the question
(e) if you cannot get the answer from the Statements [I] and [II] together but need even more data
Q4. What is the population of the city A?
I. The ratio of the population of males and females in city A is 27 : 23 and the difference between their population is 100000.
II. The population of city A is 80% of that of city B. The difference between populations of city A and city B is 312500.
(a) if the Statement [I] alone is sufficient to answer the question but the Statement [II] alone is not sufficient
(b) if the Statement [II] alone is sufficient to answer the question but the Statement [I] alone is not sufficient
(c) if both Statement [I] and [II] together are needed to answer the question
(d) if either the Statement [I] alone or Statement [II] alone is sufficient to answer the question
(e) if you cannot get the answer from the Statements [I] and [II] together but need even more data
Q5. How many students did participate in Singing?
I. The students who participated in dancing were 150% more than that who participated in Singing.
II. 150 students participated in dancing.
(a) if the Statement [I] alone is sufficient to answer the question but the Statement [II] alone is not sufficient
(b) if the Statement [II] alone is sufficient to answer the question but the Statement [I] alone is not sufficient
(c) if both Statement [I] and [II] together are needed to answer the question
(d) if either the Statement [I] alone or Statement [II] alone is sufficient to answer the question
(e) if you cannot get the answer from the Statements [I] and [II] together but need even more data
Q6. Speed of boat in downstream is 24 km/hr while speed of boat is 300% more than speed of stream. Find in total 6 hours, what distance can be covered by boatman if he covers half distance in downstream and half in upstream?
(a) 92km
(b) 70 km
(c) 24 km
(d) 96 km
(e) 108 km
Q7. Vikas can swim in still water with twice the speed as that of speed of water. Time difference to cover a certain distance in upstream and in downstream is 4 hours at his usual speed. But if he had doubled his usual speed, then time difference would reduce by 80% of its usual time difference to cover same distance. Calculate total time taken by Vikas to cover 6 km upstream and 2 km downstream, at his usual speed.
Q8. A boat goes 24 km upstream and 28 km downstream in 6 hrs. and also goes 30 km upstream and 21 km downstream in 6 hr and 30 minutes. The speed of boat in still water is ?
(a)8 km/hr
(b)10 km/hr
(c)6 km/hr
(d)7.5 km/hr
(e)12 km/hr
Q9. Point A to Point B is a downstream journey of 300 km on a stream which flows at a speed of 5 km/hr. Two boats P and Q starts from point A and Point B respectively with speed of 25 km/hr and 15 km/hr in still water. After reaching the opposite point they return to their starting points, find after how much time will they meet second time?
(a) 7.5hour
(b) 15hour
(c) 20hour
(d) 10hour
(e) None of these
Q10. A boat goes 28 km downstream and while returning covered only 75% of distance covered in downstream, if boat takes 3 hr more to cover upstream than downstream. Find the speed of boat in still water (km/hr) if speed of current is 5/9 m/sec?
(a) 3 km/hr
(b) 4 km/hr
(c) 5 km/hr
(d) 6 km/hr
(e) 7 km/hr
Direction (11-15): Calculate the approximately value of given questions?
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