Quantitative Aptitude

Directions (Q.1-5): In each of the following questions, there are two equations. You have to solve both equations and give answer

(a) if x > y

(b) if x ≥ y

(c) if x < y 

(d) if x ≤ y 

(e) if x = y or relation on cannot be established

Directions (Q.6-8): Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer

(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 statements 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 answer cannot be obtained from the statements I and II together but need even more data.

6.What is the salary of B in a group of A, B, C and D whose average salary is Rs. 62880?

I.  Total of the salaries of A and C is exact multiple of 8.

II. Average of the salary of A, C and D is Rs. 61665.                                

7.What is the three-digit number?

I.  The three-digit number is divisible by 9.

II. The first and the third digits are 6.

8.What is the profit earned by selling a printer for Rs. 3000.

I. The cost price of 6 such printers is equal to selling price of 5 such printers.

II.  20% profit is earned by selling each printer. 

9.A new flag is to be designed with six vertical stripes using some or all of the colour yellow, green, blue, and red. Then, the number of ways this can be made such that no two adjacent stripes have the same colour is 

(a) 12 × 81

(b) 16 × 192

(c) 20 × 125 

(d) 24 × 216

(e) None of the above

9. (a) Any of the 4 colours can be chosen for the first stripe. Any of the remaining 3 colours can be 

 used for the second stripe. The third stripe can again be coloured in 3 ways (we can repeat the colour of the first stripe but not use the colour of the second stripe).

Similarly, there are 3 ways to colour each of the remaining stripes.

∴ The number of ways the flag can be coloured is

10.A boat running upstream takes 528 min to cover a certain distance, while it takes 240 min to cover the same distance running downstream. What is the ratio between the speed of boat and speed of the water current, respectively.

(a) 2 : 1

(b) 3 : 2

(c) 8 : 3

(d) Couldn’t be determined 

(e) None of the above

Quantitative Aptitude

Q1. In a Km Race A beats B by 100 m and C by 200 m. By how many meter can B beat C in a race of 1350 m?

(a) 150 m 

(b) 120 m

(c) 1200 m

(d) 210 m

(e) None of these

Q2. Two boys, A and B, runs at 4 1/2 and 6 Km an hour. A having 190 m start. The course being 1 km, B wins by a distance of:

(a) 60 m 

(b) 65 m

(c) 45 m

(d) 75 m 

(e) None of these

Q3. In one-day cricket match the captain of one of the teams scored 30 runs more than the average runs scored by the remaining six batsmen of that team who batted in the match. If the total runs scored by all the batsmen of that team were 310, how many runs did the caption score?

(a) 60 

(b) 70

(c) 50

(d) Cannot be determined 

(e) None of these

Q4. The average marks in Science subject of a class of 20 students is 68. If the marks of two students were misread as 48 and 65 instead of the actual marks 72 and 61 respectively, what would be the correct average?

(a) 68.5 

(b) 69

(c) 69.5

(d) 70

(e) None of these

Q5. A sum of Rs 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs 362.50 more is lent but at the rate twice the former. At the end of the year, Rs 29 is earned as interest from both the loans. What was the original rate of interest? 

(a) 3.6%

(b) 4.5%

(c) 5%

(d) 3%

(e) None of these

Q6. Bipasha and Mallika leave towns Kolkata and Ambala at 6 am and travel towards Ambala and Kolkata respectively. Speed of Bipasha is 60 km/h and speed of Mallika is 120 km/h. Rani leaves Kolkata for Ambala sometime later and travels at a speed of 90 km/h. If the distance between Kolkata and Ambala is 1080 km and all three meet at the same point on the way, at same time, then at what time did Rani leave Kolkata?

(a) 7 am 

(b) 8 am 

(c) 7:30 am 

(d) 10 am 

(e) None of these

Q7. Pathik and Rahi started from two places Andheri and Bhavnagar towards Bhavnagar and Andheri respectively at 8:20 am. The speeds of Pathik and Rahi are in the ratio 4 : 5. They meet at Chandni Chowk, somewhere between Andheri and Bhavnagar, spent some-time together enjoyed coffee and burger and then both started towards their destination at 9 : 27 am. If Pathik reaches Bhavnagar at 10:32 am, how much time did they spend together?  

(a) 8 min

(b) 12 min 

(c) 15 min 

(d) Can’t be determined 

(e) None of these 

Q8. While walking down on the pavements of New York city. I notice that every 20 minute there is a city bus coming in the opposite direction and every 30 minute there is a city bus overtaking me from behind. What is the time gap between one city bus passing s stationary point known as Local Bus Stop beside the route and the immediately next city bus in the same direction passing the same stationary point?  

(a) 27 min

(b) 24 min 

(c) 25 min

(d) Can’t determined 

(e) None of these

Q9. The interior angles of a polygon are in A.P. if the smallest angle is 120° and the common difference is 5°, then the number of sides in the polygon is:  

(a) 8

(b) 12

(c) 9

(d) 6 

(e) None of these

Quantitative Aptitude

1. A and B each working alone can do a work in 15 days and 25 days, respectively. They started the work together but B left after some time and A finished the remaining work in 7 days. After how many days from the start did B leave?

 (a) 3

(b) 5

(c) 7

(d) 9

(e)None of the above

2.  A contract is to be completed in 50 days and 105 men were set to work, each working 8 h a day. After 25 days, 2/5th of the work is finished. How many additional men be employed, so that the work may be completed on time, each man now working 9 h a day? 

(a) 34

(b) 36

(c) 35

(d) 37

(e) None of the above

3. The average age of 14 girls and their teacher’s age is 15 yr. If teachers age is excluded, then the average reduced by 1. What is the teacher’s age?

(a) 29 yr

(b) 35 yr

(c) 32 yr

(d) 30 yr 

(e) None of the above 

4. The average temperature of Delhi for four days in a particular month is 48°C. If the average temperature of second and third days is 34°C and the ratio of the temperatures of first and fourth days is 9 : 11, then find out the temperatures of first and fourth days.

(a) 45.5°C, 49.9°C

(b) 32.4°C, 39.8°C

(c) 43.4°C, 68.2°C

(d) 52.4°C, 46.8°C

(e) None of the above 

5. 60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, then the amount of tin in the new alloy is:

(a) 36 kg 

(b) 44 kg 

(c) 53 kg 

(d) 80 kg 

(e) None of the above

6. 20 litres of a mixture contains milk and water in the ratio 5 : 3. If 4 litres of this mixture be replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be 

(a) 2 : 1

(b) 7 : 3 

(c) 8 : 3 

(d) 4 : 3

(e) None of the above

7. A sum was put at simple interest at a certain rate for 7 years. Had it been put at 2% higher rate, it would have fetched Rs 56 more. Find the sum.

(a) Rs 500

(b) Rs 600

(c) Rs 400

(d) Rs 350 

(e) None of the above

8. The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

(a) 3

(b) 4

(c) 5

(d) 6 

(e) None of the above

9. A train travelling at 70 kmph, crosses a cyclist who is cycling at 10 kmph in the opposite direction in 25 sec. Find the time taken by the train to cross another cyclist travelling at 20 kmph in the same direction as the train does.

(a) 36 sec

(b) 44 sec

(c) 50 sec

(d) 40 sec 

(e)None of the above

10. Two boats travelling at 5km/h and 10km/hr, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms) one minute before they collide?

(a) 1/4

(b) 1/2

(c) 3/4

(d) 5/6 

(e)None of the above

Read more: http://www.bankersadda.com/p/night-class-quant-quiz-for-rbiibps-exam_13.html#ixzz4vMWKlLcb

Quantitative Aptitude

Directions (Q. 1-10): What should come in place of the question mark (?) in the following series?

1. 680 655 704 623 744 ?
a) 575
b) 675
c) 600
d) 913
e) None of these

1. a

680 - 5^2 = 655

655 + 7^2 = 704

704 - 9^2 = 623

623 + 11^2 = 744

744 - 13^2 = 575

2. 10 10 20 ? 110 300 930
a) 40
b) 35
c) 45
d) 50
e) 60

2. c

10 × 0.5 + 5 = 10

10 × 1 + 10 = 20

20 × 1.5 + 15 = 45

45 × 2 + 20 = 110

110 × 2.5 + 25 = 300

300 × 3 + 30 = 930

3. 1 ? 22 188 2052 28748
a) 2
b) 3
c) 6
d) 16
e) 10

3. c

1 × 2 + 4 = 6

6 × 5 - 8 = 22

22 × 8 + 12 = 188

188 × 11 - 16 = 2052

2052 × 14 + 20 = 28748

4. 50327 7169 1215 223 76 ?
a) 1
b) 2
c) 3
d) 4
e) 8

4. d

(50327 – 144) ÷ 7 = 7169

(7169 + 121) ÷ 6 = 1215

(1215 – 100) ÷ 5 = 223

(223 + 81) ÷ 4 = 76

(76 – 64) ÷ 3 = 4

5. 14 34 62 ? 142 194
a) 94
b) 98
c) 108
d) 112
e) None of these

5. b

2 + 3 × 4 = 14

4 + 5 × 6 = 34

6 + 7 × 8 = 62

8 + 9 × 10 = 98

10 + 11 × 12 = 142

12 + 13 × 14 = 194

6. 124 215 342 511 ? 999
a) 695
b) 625
c) 728
d) 806
e) 573

6. c

The series is

5^3 – 1 = 124

6^3 – 1 = 215

7^3 – 1 = 342

8^3 – 1 = 511

9^3 – 1 = 728

10^3 – 1 = 999

Reqd answer = 728.

7. 516 256 126 61 28.5 ?
a) 12.25
b) 16.75
c) 14.25
d) 20.20
e) 18.7

7. a;

 The series is

8. 7 21 50 109 ? 467
a) 198
b) 228
c) 372
d) 402
e) 275

8. b;

 The series is

 

9. 18 82 118 134 138 ?
a) 132
b) 198
c) 125
d) 138
e) 92

9. d;

 The series is

 

10. 5 22 103 406 ? 2422
a) 1516
b) 1298
c) 1136
d) 1602
e) 1213

10. e;

 The series is

 

Quantitative Aptitude

Directions (1-6): What should come in place of question mark(?) in the questions given below?(you are not expected to get exact values).

Solutions (1-6):

Q7. A vessel contains 100 litres mixture of milk and water in the respective ratio of 22: 3. 40 litres of the mixture is taken out from the vessel and 4.8 litres of pure milk and pure water each is added to the mixture. By what percent quantity of water is less than the quantity of milk?

Q8. In a vessel, there is a mixture of apple, orange and mango juices in the ratio of 3: 5: 4 respectively. A quantity of 12 litres from the mixture is replaced by 8 litres of apple juice. Thereafter the quantities of apple and orange juices in the resultant mixture become same. Find out the initial quantity of mixture in the vessel. 

(a) 76 litres

(b) 65 litres

(c) 60 litres

(d) 80 litres

(e) None of these

Q9. A 20 litres mixture contains milk and water in the respective ratio of 3: 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively?

(a) 17 : 3

(b) 9: 1

(c) 4: 17 

(d) 5 : 3

(e) 3: 14

Q10. A jar has 60 litres of milk. From the jar, 12 litres of milk was taken out and replaced by an equal amount of water. If 12 litres of the newly formed mixture is taken out of the jar, what is the final quantity of milk left in the jar?

(a) 38.4 litres

(b) 40 litres

(c) 36 litres

(d) 28.6 litres

(e) 36.5 litres

Directions (11-15): Study the following graph carefully to answer the questions that follow: 

Q11. The number of girls from Biology department is approximately what percent of the total number of girls from all the departments together?

(a) 32

(b) 21

(c) 37

(d) 43

(e) 27

Q12. What is the difference between the total number of boys and the total number of girls from the departments together?

(a) 440

(b)  520

(c) 580

(d) 460

(e) None of these

Q13. What is the average number of boys from all the departments together?

(a) 122

(b) 126

(c) 130

(d) 134

(e) None of these

Q14. The number of boys from Anthropology department is approximately what percent of the total number of boys from all the departments together?

(a) 15

(b) 23

(c) 31

(d) 44

(e) 56

Q15. What is the respective ratio of the number of girls from Philosophy department to the number of girls from Psychology department?

(a) 1: 2

(b) 7: 12

(c) 5: 12

(d) 3: 4

(e) None of these

Solutions (11-15):