1. Lets assume money invested by B and C are 3x and 5x respectively.
Now as B invested additional 1 lakh rupees, thus = (3x+1) lakhs
Also given, is that boh invested equal amounts, thus,
(3x+1) = 5x
x = 0.5 lakhs
Therefore, money invested by B is = (3*0.5 + 1) = 2.5 lakhs. 2. Total amount invested by B and C = (2.5 + 2.5) = 5 lakhs.
Now its given that total revenue generated is 20% of amount invested, thus,
= (20/100)*5
= 1 lakh
Also given is that ratio of revenues of apples:oranges is 4:1, thus,
Revenue generated by apples = (4/5)*1 = Rs 80,000
3. Revenue generated by oranges = (1/5)*1 = Rs 20,000
Now its given that for Rs 5 you get 1 orange, so for Rs 20,000, we will get,
= (1/5)*20000 = 400 oranges. 4. Revenue generated from apples = Rs 80,000
Total number of apple trees = 200
Revenue generated per apple tree,
= 80000/200 = Rs 400. 5. Revenue generated by oranges = Rs 20,000
Number of orange trees = 200/5 = 40. ( as ratio of apple trees: orange trees is 5:1)
Directions (Q.1-5):
A property dealer gave 5 acre land to 'B' and 'C' where the total amount paid by the two for the land is in the ratio 3:5. Rs 1 lakh more was invested by 'B' to plant apples and oranges trees in the ratio 5:1 on equal property. There were 200 apple trees. The plantation took 4 years to mature and total revenue generated from it was 20% of total amount paid by 'B' and 'C'. Ratio of revenues of apples and oranges were 4:1. The revenue was shared equally as both 'B' and 'C' invested equal money initially. Also given cost of 1 apple is Rs 8 and that of 1 orange is Rs 5.
1) What is the amount invested by 'B' ?
A. 1 lakh
B. 1.5 lakh
C. 2.5 lakh
D. 3 lakh
2) What is the total revenue generated by apples ?
A. Rs 60,000
B. Rs 80,000
C. Rs 40,000
D. Rs 20,000
3) What were the total number of oranges sold ?
A. 2000
B. 4000
C. 6000
D. 5000
4) What is the revenue generated per apple tree ?
A. Rs 500
B. Rs 600
C. Rs 800
D. Rs 400
5) What is the revenue generated per orange tree ?
A. Rs 2000
B. Rs 1000
C. Rs 5000
D. Rs 3000
Directions (Q.6-10): Find the missing numbers of the given series:
6) 1, 15, 48, _, 2700
A. 148
B. 360
C. 297
D. 258
7) 45, 80,140, _, 400, 640
A. 250
B. 260
C. 280
D. 240
8) 2, _, 6, 15, 45
A. 4
B. 5
C. 3
D. 2
9) 200, 136, _, 88, 80, 76
A. 112
B. 120
C. 104
D. 100
10) 12, 25, _, 38, -14
A. -4
B. 0
C. -1
D. -2
Directions (Q.11-15): In each of these questions, two equations (A) and (B) are given. You have to solve both the equations and give answer as:
A) if x > y
B) if x < y
C) if x >= y
D) if x <= y
E) if x = y or relation cannot be established between 'x' and 'y'.
1) c 2) b 3) c 4) a 5) b 6) b 7) d 8) d 9) d 10)c 11)e 12)c 13)c 14)c 15)d 16)a 17)a 18)d 19)b 20)e 21)d 22)a 23)a 24)d 25)a 26)d 27)c 28)d 29)c 30)c 31)c 32)c 33)a 34)a 35)b
Directions (1-5): Study the given bar graph carefully to answer the questions.
The production of wheat (in tones) by different companies for three years 2013, 2014 and 2015 respective.
1. The total production of five companies in 2015 is approx. what percent of the total production by Company E and C together in 2013?
(a) 198%
(b) 256%
(c) 275%
(d) 292%
(e) 248%
2. What is the ratio of the production by Company A in the given three years to the production by Company D in the given three years?
(a) 16:25
(b) 18:25
(c) 17:25
(d) 5:12
(e) None of the above
3. For which company was the rise or fall in the production of tea from 2013 to 2014 the maximum?
(a) A
(b) B
(c) C
(d) D
(e) E
4. The production of tea of Company B in the year 2013 is approximately what percent of the total production of Company D in all the given years?
(a) 36%
(b) 40%
(c) 38%
(d) 45%
(e) None of the above
5. The ratio of the average production of all companies in 2014 to the average production of 'C' in all the years is
(a) 38:37
(b) 37:35
(c) 37:39
(d) 39:37
(e) None of the above
Directions(6-10): What should come in place of the question mark(?) in the given questions.
Directions (11-15): Study the following graph to answer the given questions.
11. If the income of Company X in 1998-99 was equal to the expenditure of Company Y in 2001-2002, what was the ratio of their respective profits?
(a) 13:15
(b) 15:26
(c) 13:26
(d) Cannot be determined
(e) None of these
12. For Company X, its income in 2001-2002 was equal to its expenditure in 2002-2003, what was the ratio of its respective incomes in these two years?
(a) 4:5
(b) 3:4
(c) 2:3
(d) Cannot be determined
(e) None of these
13. For Company Y, in which year is the percent of increase in percent profit over that of previous year the highest?
(a) 2002-03
(b) 1999-2000
(c) 2001-02
(d) Cannot be determined
(e) None of these
14. In 1997-98, the expenditure of Company Y was Rs. 40 crores. What was its income in that year?
(a) Rs. 50 crore
(b) Rs. 48 crore
(c) Rs. 46 crore
(d) Cannot be determined
(e) None of these
15. What was the difference in the expenditures of the two companies in 2001-02?
(a) 10
(b) 100
(c) 1000
(d) Cannot be determined
(e) None of these
16. If i borrow money at 5 % p.a.payable yearly and lend it immediately at 7% p.a. payable half-yearly and gain thereby at the en of the year Rs 636.75, then the borrowed sum was:
(a) Rs 35,000
(b) Rs 30,000
(c) Rs 40,000
(d) Rs 45,000
(e) None of these
17. In a society of 50 members, 10 speaks both english and hindi, 15 speak both english and punjabi and 5 speak both hindi and punjabi. There are 5 members who speak all 3 languages. Then what is the probability of choosing a member who speaks only one of the languages ?
(a) 3/10
(b) 2/5
(c) 1/5
(d) 1/10
(e) None of these
18. The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of number of boys to the number of girls in the class is:
(a) 1 : 2
(b) 3 : 4
(c) 3 : 5
(d) 2 : 3
(e) None of these
Directions (19-22): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
Give answer:
(a) If 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 questions.
(b) If 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.
(c) If the data in statement I alone or in statement II alone are not sufficient to answer the question.
(d) If the data in both the statements I and II are not sufficient to answer the question.
(e) If the data in both the statements I and II together are necessary to answer the question.
19. In how many days will five women complete a work?
I. Two women, five boys and three men together complete the work in six days.
II. Eight women complete the same work in twelve days.
20. What will be Shyam’s age after 6 years?
I. The ratio between Ram’s and Shyam’s present age is 4 : 3 respectively.
II. Ram is seven years older than Shyam.
21. What is the average speed of a car?
I. The average speed of the car is five times the average speed of a truck whereas the average speed of a bus is 45 km/hr.
II. The average speed of the truck is half the average speed of a train whereas the average speed of a jeep is 40 km/hr. 17:25
(d) 5:12
(e) None of the above
22. By selling a product at 20% profit, how much profit was earned?
I. The difference between cost and selling price is Rs. 40/-
II. The selling price is 120% of the cost price.
23. 30 women can do a work in 10 days and 45 children can do the same work in 12 days, then what is the ratio of amount of work done by 15 women in 1 day to work of 30 children in 1 day.
(a) 2:5
(b) 3:5
(c) 1:3
(d) 2:3
(e) None of these
24. In a certain gym, 20% of members are below 22 years of age. The number of students above 22 years of age is 2/3rd of the number of students of 22 years of age which is 48. What is the total number of members in the gym?
(a) 72
(b) 80
(c) 120
(d) 100
(e) None of these
25. A, B and C are in a parternship with capitals in the ratio 3:2:1. A leaves after 4 months and B leaves after 4 more months but C continues till the end of the year. If C takes an additional 10% for managing it, Then what profit % does C takes ?
(a) 37%
(b) 36%
(c) 25%
(d) 28%
(e) None of these
26. Twelve years ago A was half of B’s age. If the ratio of their present ages is 3 :5, what will be the sum of their present age?
(a) 76 years
(b) 46 years
(c) 106 years
(d) 96 years
(e) None of these
Directions (27 to 31): What approximate value should come in place of the question mark (?) in the following questions? (Note: You are not expected to calculate the exact value)
32. A alone would take 27 hrs more to complete the job than if both A and B would together. If B worked alone, he took 3 hrs more to complete the job than A and B worked together. What time, would they take if both A and B worked together ?
(a) 8 hours
(b) 10 hours
(c) 9 hours
(d) 6 hours
(e) None of these
33. Find the area of a triangle whose sides measure 14 cm, 18 cm and 24 cm.
(a) 56v5 sq cm
(b) 15v15 sq cm
(c) 25v5 sq cm
(d) 28v15 sq cm
(e) None of these
34. Rice worth Rs. 120 per kg and Rs. 130 per kg are mixed with a third variety in the ratio 1 : 1 : 3. If the mixture is worth Rs. 150 per kg, the price of the third variety per kg will be:
(a) Rs. 166.67
(b) Rs. 170.67
(c) Rs. 175.67
(d) Rs. 180.67
35. Ramesh and Suresh start from X and Y respectively with uniform velocities. Ramesh is
going to Y and Suresh towards X and both cities are 600 km apart. Ramesh rests whenever
Suresh is on the move and Suresh rest whenever Ramesh is on the move. The speed of
Ramesh and Suresh is 25 km/h and 30 km/h respectively. If Ramesh starts first and reaches Y
in 36 hours, then find the least time that Suresh would take to reach his destination after
Ramesh makes a start.
(a) 36 h
(b) 44 h
(c) 20 h
(d)18 h
(e) None of these
1) Two guys Yash and Raj, working separately can mow a field in 8 and 12 hours respectively. If they work for an hour alternately, Yash beginning at 9 am, when will the mowing be finished?
(a) 9:30 PM
(b) 8:30 PM
(c) 6:00 AM
(d) 6:30 PM
2) X and Y can do a piece of work in 20 days and 30 days. both starts the work together for some time, but Y leaves the job 5 days before the work is completed. Find the time in which work is completed ?
(a) 7 days
(b) 12 days
(c) 14 days
(d) 16 days
3) X, Y and Z together can do a work in 12 days. X alone can do the work in 36 days and Y alone can do the same work in 54 days. Find in what time Z alone can do that work?
(a) 9 days
(b) 18 days
(c) 24 days
(d) 27 days
4) A alone would take 27 hrs more to complete the job than if both A and B would together. If B worked alone, he took 3 hrs more to complete the job than A and B worked together. What time, would they take if both A and B worked together ?
(a) 8 hours
(b) 10 hours
(c) 9 hours
(d) 6 hours
5) A can complete a work in 24 days and B can complete the same work in 18 days. If A after doing 4 days leaves the work find in how many days B will complete the remaining work ?
1) A and B together can finish a work in 12 days, whereas B and C together can finish the same work in 20 days and A and C together can finish the work in 15 days. Then the ratio of days of A working alone to complete the work to that of B is ?
A. 2:3
B. 1:2
C. 1:3
D. 2:1
2) A professional institute's total expenditure on students for a particular course is partly fixed and partly varies linearly with number of students .The average expense per student is Rs 615 when there are 24 students and Rs 465 when there are 40 students. What is the average expense when there are 60 students ? A. 350 B. 390 C. 410 D. 370 3) 30 women can do a work in 10 days and 45 children can do the same work in 12 days, then what is the ratio of amount of work done by 15 women in 1 day to work of 30 children in 1 day. A. 2:5 B. 3:5 C. 1:3 D. 2:3 4) 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in ? A. 8 days B. 4 days C. 6 days D. 10 days 5) 30 men working 4 hrs a day can do a piece of work in 10 days. Find the no. of days in which 45 men working 8 hrs a day can do twice the work. Its given that 2 men of the first group do as much work in 2 hrs as 4 men of the second group do in 1 hr . A. 6(1/3) days B. 6(2/3) days C. 5(3/6) days D. 5(1/3) days
1) Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
A. 39,30
B. 41,32
C. 42,33
D. 43,34 2) Two tailors A and B are paid a total of Rs. 550 per week by their employer. If A is paid 120 percent of the sum paid to B, how much is B paid per week?
A. Rs. 200
B. Rs. 250
C. Rs. 300
D. None of these
3) Shyam went to the shop and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A. Rs. 15
B. Rs. 15.70
C. Rs. 19.70
D. Rs. 20 4) In a certain gym, 20% of members are below 22 years of age. The number of students above 22 years of age is 2/3rd of the number of students of 22 years of age which is 48. What is the total number of members in the gym?
A. 72
B. 80
C. 120
D. 100 5) Among a class of 100 students, Rs 312 is divided such that each boy gets Rs 3.6 and each girl gets Rs 2.4 , then number of boys are :
A. 60
B. 40
C. 80
D. 20
6) Among X, Y and Z Rs 4830 is divided, such that if X's share diminishes by 5, Y's share diminishes by 10 and Z's share diminishes by 15, then their share ratio will be 5:4:3 . Find Y's original share ?
A. 1610
B. 2010
C.1510
D. 2200
7) In a Zoo, there are monkeys, tigers and leopards in the ratio 3:7:5. If the number of tigers was more than the number of monkeys by a multiple of both 9 and 7, what is the minimum number of animals in the zoo?
1. What percentage of numbers from 1 to 70 have squares that end in the digit 1?
A. 1
B. 14
C. 20
D. 21
2. In an examination it is required to get 36% of the aggregate marks to pass. A student gets 198 marks and is declared failed by 36 marks. What is the maximum aggregate marks a student can get?
A. 550
B. 650
C. 480
D. Cannot be determined
3. In a class of 45 students and 8 teachers, each student got gifts that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many gifts were there?
A. 484
B. 549
C. 600
D. 449
4. Twelve years ago A was half of B’s age. If the ratio of their present ages is 3 :5, what will be the sum of their present age?
A. 76 years
B. 46 years
C. 106 years
D. 96 years
5. Among three workers X, Y, and Z , Rs 432 needs to be divided such that 8 times X's share is equal to 12 times Y's share which is equal to 6 times Z's share. What was X's share ?
A.192
B. 133
C. 144
D. 128
6. A, B and C are in a parternship with capitals in the ratio 3:2:1. A leaves after 4 months and B leaves after 4 more months but C continues till the end of the year. If C takes an additional 10% for managing it, Then what profit % does C takes ?
A. 37%
B. 36%
C 25%
D 28%
7. The monthly income of Ramesh and Raju is in the ratio of 4:5 , their expenses are in the ratio of 5:6 . If Ramesh saves Rs 25 per month and Raju saves Rs 50 per month, then what is the income of Raju ?
A. Rs 500
B. Rs 400
C. Rs 320
D. Rs 240
1) Prachi gives 2 exams in a day. Chances of clearing each exam are 0.45 and 0.75 respectively. Then what is the probability that she cleared atleast 1 exam ?
A. 0.9
B. 0.725
C. 0.8625
D. 0.8125
2) Ramesh wants to go to China by airplane. There are 3 flights available Jet, Indigo and Spice airlines. Then what is the probability that he chose Indigo ?
A. 1/2
B. 2/3
C. 1/3
D. 3/4
3) Two dices are rolled simulataneously. Then what is the probability even numbers on both dices ?
A. 1/12
B. 1/4
C. 1/9
D. 4/9
4) A bag contains 4 white and 3 black balls. 3 balls are drawn at randomn. What is the probability of none of the balls being black ?
A. 3/35
B. 2/35
C. 1/35
D. 4/35
5) In a society of 50 members, 10 speaks both english and hindi, 15 speak both english and punjabi and 5 speak both hindi and punjabi. There are 5 members who speak all 3 languages. Then what is the probability of choosing a member who speaks only one of the languages ?
A. 3/10
B. 2/5
C. 1/5
D. 1/10
6) From a set of first 50 natural numbers, 2 numbers are chosen at randomn. Then what is the probability that one of them is a multiple of 5 and other is a multiple of 3 ?
A. 16/245
B. 32/245
C. 9/245
D. 62/245
1) Sahil orders a gift for his wife Neeti for diwali. Due to festival season there is a chance of delay, so playing it safe he orders from 3 retailers A, B and C which have probability of reaching on time as 0.8, 0.9 and 0.6. Then what is the probability that he got the gift on time ?
A. 0.882
B. 0.9
C. 0.992
D. 0.772
2) A box contains 4 black, 4 green and 2 red balls. 2 balls are drawn at randomn. What is the probability of getting atleast 1 red ball ?
A. 1/5
B. 19/45
C. 17/45
D. 2/5
3) Prabhas is travelling from shimla to manali. Due to bad weather some routes are blocked. There are 3 routes to reach manali with the probability of reaching, for 'A'=0.7, 'B'=0.6 and 'C'=0.5. Find the probability of reaching if 'C' was not chosen ?
A. 0.6
B. 0.7
C. 0.56
D. 0.65
4) A set of numbers { 2, 4, 6, 8, 9 } belongs to 'x'. Then what is the probability of the function f(x)=(x-3)/(x-4) being defined on these set of values ?
A. 4/5
B. 2/5
C. 1/5
D. 3/5
5) A bag contains different types of chocolates. 3 milky bar, 4 mars and 5 bounty. 2 chocolates are drawn at randomn without repetition. Then what is the probability of getting atleast 1 bounty ?
A. 5/11
B. 5/22
C. 15/22
D. 7/22
6) A deck of 52 cards is well shuffled. Now a card is drawn at randomn from it. Then what is the probability of drawing a face card or a black color card ?
A. 4/13
B. 21/26
C. 9/13
D. 4/9
1) X contains { 2, 3, 4, 5, 6 } as its elements then probability of modulus (X-3) < 2 ?
A. 2/5
B. 1/5
C. 4/5
D. 3/5
2) In an examination, 'A' s probability of passing is 0.4 and 'B's probability of passing is 0.6 . Then what is the probability of atleast one of them passing ?
A. 0.8
B. 0.75
C. 0.84
D. 0.9
3) Two digit numbers are formed using { 0, 2, 3, 4, 5 } then what is the probability of the 2 digit number being divisible by 2 or 5 ?
A. 3/4
B. 11/16
C. 13/16
D. 7/16
4) There are 2 jars, one contains 2 white, 3 black balls and other jar contains 3 white, 2 black balls then if 3 balls are drawn one of the jar then what is the probability of 2 being black and 1 being white ?
A. 9/10
B. 7/10
C. 9/20
D. 7/20
5) A committee of 3 persons has to be formed from 4 women and 3 men. Then what is the probability of having atleast one woman in the committee ?
A. 16/35
B. 29/35
C. 34/35
D. 24/35
6) In a class of 100 students, 20 like both maths and physics, 10 like both physics and biology and 5 like both maths and biology. There are 50 students who like only one subject. Then probability of choosing a student who likes all 3 subjects ?
A. 1/4
B. 1/5
C. 3/20
D. 3/10
1) Two cards are drawn from a deck of 52 cards one after another without replacement. What is the probability that atleast one of the card is black ?
A. 1/2
B. 23/102
C. 25/102
D. 1/4
2) Out of 200 students in a class, 100 play cricket, 50 play hockey and 60 play basketball. 30 play both cricket and hockey, 45 play both cricket and basketball and 35 play both hockey and basketball. If one student is chosen at randomn from the class, then what is the maximum probability that he/she plays all the game ?
A. 3/20
B. 3/10
C. 1/10
D. 1/5 3) Out of 200 students in a class, 100 play cricket, 50 play hockey and 60 play basketball. 30 play both cricket and hockey, 45 play both cricket and basketball and 35 play both hockey and basketball. If one student is chosen at randomn from the class, then what is the minimum probability that he/she plays all the game ?
A. 3/20
B. 3/10
C. 1/10
D. 1/5
4) The domain of the function f(x) consists of { 1, 2, 3, 4, 5, 6 } then what is the probability of f(x)< 8 where f(x)= 2x-1 ?
A. 1/2
B. 2/3
C. 5/6
D. 1/3 5) A card is drawn from a deck of 52 cards. Then what is the probability of it being an ace given that its black ?
A. 1/13
B. 1/2
C. 2/13
D. 1/3
6) A bag contains 2 white, 3 black and 4 blue balls. 3 balls are drawn one after another without replacement. Then what is the probability of not getting any white ball ?
A. 343/729
B. 5/12
C. 7/9
D. 7/12
