Directions (1-4): Read the data carefully and answer the questions.
A man and his wife alone can do a task in (D) days and (T) days respectively. With the help of their son, they together complete the task in 12 days. They all together got 3000 $ as wages for completing that task and then each of them went to buy some shoes and saved rest of the amount. Son likes sneakers shoes, father likes formal shoes and mother likes sport shoes. Total number of sneakers, sport shoes & formal shoes in the shop is 16, (Y) & (X) respectively. If shopkeeper picked up a shoe for showing them, then probability of it being either formal shoes or sport shoes is 5/19 or 6/19 and in the shop there are only three type of shoes. Cost price of a sneaker is (P) $, shopkeeper marked it 40% above the cost price and in place of two successive discounts of 20% and 10%, he allowed only one discount of 20% on it due to this his profit increased by 8.4 $ on selling a sneaker shoe and in this way saving of son (U) was reduced to 48 $ on purchasing of 3 pairs of sneaker shoes. Cost price of a formal shoe is (E) % less than that of a sneaker, while selling price of a formal shoe is 15 $ less than cost price of a sneaker shoe and man save 900 $ after purchasing (N) formal shoes. Profit of shopkeeper on selling a formal shoe is 33 ⅓% less than the profit on a sneaker shoe and total profit earned by shopkeeper on selling all sneaker shoes is 140% more than profit earned by shopkeeper on selling formal shoe to man. If his wife did not purchase any shoe and man and his wife invested their respective saving in a hen farming business for (A) months and (B) months respectively and got profit in the ratio of 15: 16. Time taken by his wife alone to do that work is twice of (B) days.
Q1. A person finds that his only son’s age after ‘X’ years will be 37.5% of his age at that time. From which of the following given sentences we can find the difference between age of person and his wife 5 years?
I. Son is 2(Y-2) years younger than that of his mother.
II. Ratio of present age of father to that of his son is 6:1.
III. Ratio of present age of son to present age of his mother is 1:5.
(a) Any two of the given statements
(b) Either (I) or (II) & (III)
(c) Only (I)
(d) None of the these
(e) Only (III)
Q2. Distance covered by boat in downstream is P km which is 25km more than the distance covered by boat in upstream. Check which of the following given statements will help in determining speed of boat in still water which is equal to N.
I. Ratio of time taken by the boat in downstream to that of in upstream is 9:10.
II. Ratio of speed of boat in upstream to that of in still water is 4:7 and boat takes 4 hours more to cover above mentioned upstream distance in upstream than to cover above downstream distance.
(a) None of the above
(b) Only (I)
(c) Only (II)
(d) Either (I) or (II)
(e) All of the above
Q3. Chiru can do a work in less than 25 days while Binny and Deep together can do that work in more than Z days. Binny and Chiru together can do that work in 16 ⅔ days. Find which of the following variables’ value can replace Z so that number of days taken by Deep alone is not less than 33 ⅓ days.
I.T II.D III. B IV.E V.X
(a) Only (II) and (IV)
(b) Only (I), (III) and (IV)
(c) Only (II), (III) and (V)
(d) Only (I), (II) and (IV)
(e) All of the above
Q4. Ayush went to a stationary shop and purchased some pens and some copies and total amount paid by him is Rs 360 and price of each pen is Rs 30 which is (T-5) % less than price of a copy. Check which of the following statements helps in determining the total number of copies and pens bought by him is equal to N.
I. Number of copies bought is 2 more than the number of pens.
II. If he had bought as many copies as he bought originally the pens and vice-versa then he would have saved an amount equal to half the price of a pen or of a copy.
(a) From(I) only
(b) Either (I) or (II)
(c) None of the above
(d) All of the above
(e) From (II) only
Directions (5 -7): There are ten villages P, Q, R, S, T, A, B, C, D & E. Bar graph shows male population in first five villages P, Q, R, S & T as a percent of male population in last five villages A, B, C, D, & E respectively. Table below shows ratio of female population in first five villages P, Q, R, S & T to last five villages A, B, C, D, & E respectively. Read the data carefully and answer the questions.
Q5. Male population from A is double of female population in that village. 60% of males and females from P and 80% of males and females from A are taken out, so that average per capita income of this resulting population becomes 40 $ per day and average per capita income of resulting male population from the two villages is 50 $ per day. If the difference between total income of the resulting population and total income of resulting male population is 2000 $, then find the difference between male population to female population in resulting population?
Q6. Male population in village Q is 120% more than that of female population in that village and difference between female population in B and Q is 2000. If female population in D is 800 less than male population of Q and ratio of male population to female population in D is 16 : 9, then find male population in S?
Q7. Total male & female population in village R together is 72% of total male & female population in C. If we mixed population of village R & C in the ratio of 3 : 4 and from resulting population replace 16 ⅔% with same no. of female population and again replace 10% of resulting population with same no. of female population, then find the ratio of male population to female population in final resulting population?
(a) 33 : 43
(b) 33 : 41
(c) 33 : 31
(d) 33 : 35
(e) 33 : 37
Directions (8–10): The given bar graph shows average weight of the employees of five different organizations when weights are arranged in descending order.
Q8. If there are 60 employees in the organization D and average weight of the employees is 60 kg, then maximum weight of the employee who is at 48th position.
(a) 30 kg
(b) 54 kg
(c) 48 kg
(d) 60 kg
(e) 65 kg
Q9. For how many of the given organizations average weight of the remaining 60% of the employees of organization be more than 45 kg if average weight of all the employees for each of the organization is 50 kg.
Q10. If in each of the organizations remaining employees has the highest possible average weight, then the 2nd highest average weight is for which organization?