RR ACADEMY FOR SSC AND BANK: Maths Questions for SBI BANK and SSC Examinations

RR ACADEMY FOR SSC AND BANK: Maths Questions for SBI BANK and SSC Examinations: Directions (1-5): Study the following pie chart carefully to answer the questions: Degree Wise Break-up of Employees Working in Vario...

Maths Profit and Loss Questions Competitive Level Students

Directions (1-5): Study the following pie chart carefully to answer the questions:

Degree Wise Break-up of Employees Working in Various Departments of an Organization and the ratio of Men to Women

Respective Ratio of Men to Women in each Department

Department	Men	Women
Production	4	1
HR	5	1
IT	7	2
Marketing	4	5
Accounts	7	3

Q1. What is the number of men working in the Marketing department?

(a) 462

(b) 454

(c) 418

(d) 324

(e) None of these

Q2. What is the respective ratio of the number of women working in the HR department to the number of men working in the IT department?

(a) 27 : 203

(b) 17 : 219

(c) 13 : 218

(d) 112 : 35

(e) None of these

Q3. The number of men working in the production department of the organization forms what per cent of the total number of employees working in that department?

(a) 80%

(b) 90%

(c) 75%

(d) 65%

(e) None of these

Q4. The number of men working in the IT department of the organization forms what per cent of the total number of employees in the organization from all departments together?

(a) 13.22%

(b) 14.28%

(c) 12.54%

(d) 15.65%

(e) None of these

Q5. What is the total number of men working in the organization?

(a) 2198

(b) 2287

(c) 2073

(d) 2236

(e) None of these

Directions (6–7): What approximate value should come in the place of question mark (?) in the following questions?

Q6. 4201 ÷ 59.998 × 29.88 = ? × 21.145

(a) 90 

(b) 80 

(c) 85 

(d) 100 

(e) 95

Q7. 959.98 × 780.01 ÷ 23.99 = ?

(a) 30200 

(b) 30800 

(c) 31200 

(d) 21200 

(e) 30600

Q8. A man bought a mobile and a laptop for Rs. 78000. He sold the mobile at a gain of 25% and the laptop at a loss of 15%, thereby gaining 5% overall. Find the cost price of mobile.

(a) Rs. 39000 

(b) Rs. 34000 

(c) Rs. 30000 

(d) Rs. 38000 

(e) Rs. 32000

Q9. In a regular week, there are 6 working days and for each day the working hours are 8. A man gets Rs. 40 per hour for regular work and Rs. 45 per hour for overtime. If he earns Rs. 10,500 in 5 weeks, then how many hours does he work for?

(a) 220 

(b) 240 

(c) 260 

(d) 210 

(e) 280

Q10. A class has an equal number of boys and girls. Ten girls left the class to practice for music, leaving thrice as many boys as girls in the classroom. What was the total number of girls and boys present initially in the classroom?

(a) 50 

(b) 40 

(c) 35 

(d) 30 

(e) 38

Q11. Surbhi's science test consist of 85 questions from three sections- i.e. A, B and C. 10 questions from section A, 30 questions from section B and 45 question from section C. Although, she answered 70% of section A, 50% of section B and 60% of section C correctly. She did not pass the test because she got less than 60% of the total marks. How many more questions she would have to answer correctly to earn 60% of the marks which is passing grade?

(a) 4 

(b) 2 

(c) 5 

(d) 6 

(e) 8

Q12. A house owner wants to get his house painted. He is told that this would require 45 kg of paint. Allowing for 6.25% wastage and if the paint is available in 4 kg tins, the number of tins required for painting the house?

(a) 18 

(b) 11 

(c) 14 

(d) 13 

(e) 12

Q13. One litre of water is evaporated from 8 litre solution containing 5% sugar. The percentage of sugar in the remaining solution is:

(a) 5.71% 

(b) 6.12% 

(c) 5% 

(d) 7.17% 

(e) 6%

Q14. Two men together start a journey in the same direction. They travel 12 and 20 km/day respectively. After travelling for 8 days the man travelling at 12 km/day doubles his speed and both finish the distance in the same time. Find the number of days taken by them to reach the destination.

(a) 28 days 

(b) 26 days 

(c) 24 days 

(d) 30 days 

(e) 22 days

Q15. Divide Rs. 12615 between P and Q so that P's share at the end of 6 years may equal to Q's share at the end of 8 years, compound interest being 5%.

(a) Rs. 6015, Rs. 6600

(b) Rs. 6615, Rs. 6000

(c) Rs. 7615, Rs. 5000

(d) Rs. 6215, Rs. 6400

(e) Rs. 6415, Rs. 6200

Solutions

(1-5)

Department	Total	Men	Women
Production	1215	972	243
HR	324	270	54
IT	522	406	116
Marketing	729	324	405
Accounts	450	315	135

S1. Ans.(d)

Sol. Number of men working in the Marketing department = 324

S2. Ans.(a)

Sol. Required Ratio = 54 : 406 = 27 : 203

S3. Ans.(a)

Sol. Required % = 972/1215*100=80%

S4. Ans.(c)

Sol. Required % = 406/3240*100=12.54%

S5. Ans.(b)

Sol. total number of men = 972 + 270 + 406 + 324 + 315 = 2287

S6. Ans.(d)

Sol. ? = (4200 / 60 * 30)/21 = 70*30/21 = 100

S7. Ans.(c)

Sol.? = 960 * 780 / 24 = 31200

S8. Ans.(a)

Sol. Let the cost price of mobile be Rs. x and laptop be Rs.(78000-x)

x * 25/100 - (78000-x) * 15/100 = 78000 * 5/100

25x + 15x – 78000 × 15 = 78000 × 5

40x = 78000 × 20

x = Rs. 39000

S9. Ans.(c)

Sol. Suppose the man works overtime for x hours.

Now, working hours in 5 week = 5 × 6 × 8 = 240 hr.

240 × 40 + x × 45 = 10, 500

9600 + 45x = 10,500

x = (10500 - 9600)/45 = 20hr

Total hours = 240 + 20 = 260hr

S10. Ans.(d)

Sol. Let the number of boys and girls be x each

3(x – 10) = x  2x = 30

x = 15

Total number of students = 2x = 30

S11. Ans.(b)

Sol. Number of questions attempted correctly

= 70% of 10 + 50% of 30 + 60% of 45

= 7 + 15 + 27 = 49

Passing grade = 60/100 * 85 = 51

Required Ans = 51 - 49 = 2

S12. Ans.(e)

Sol. Total paint required = 45 + wastage = 45 + x

x/(45 + x) * 100 = 6.25

100x = 281.25 + 6.25x

x = 3kg

Total number of tins = (45 + 3)/4 = 12 tins

S13. Ans.(a)

Sol. Sugar contained = 5/100 * 8 = 0.4

Now, % sugar in remaining solution = 0.4/7 * 100 = 5.71%

S14. Ans.(c)

Sol. For distance,

Distance travelled in 8 days by 1st man,

D1 = 12 × 8 = 96 km.

and by 2nd man,

D2 = 20 × 8 = 160 km

For remaining distance, let both take t days

to reach the destination.

x – 96 = 2 × 12 × t

x – 96 = 24 t .......... (i)

and x – 160 = 20 t ...... (ii)

From (i) and (ii); we get,

x – 96 – x + 160 = 24 t – 20 t

64 = 4 t

t = 16 days.

Total number of days = 16 + 8 = 24 days.

P's share = 441/841 * 12615 = Rs. 6615

Q's share = 400/841 * 12615 = Rs. 6000

Maths Questions for upcoming Railways exams

Maths Questions for SSC CGL, BANK and RAILWAYS Exams

Q1. A train travelled a distance of 900 km. It developed an engine problem after travelling for some distance. It travelled the remaining distance at 3/5th of its speed. It reached 1 hour late. If the engine problem had developed after it had travelled for another 150 km, it would have reached 1 hour earlier than the time it actually reached. Find the original speed (in km/hr) of the train during the journey?

(a) 100

(b) 125 

(c) 150 

(d) 75

(e) None of these

Q2. Akshay starts working on a job and continues for 15 days and completes 36% of the work. To complete the work, he employs Monika and together they work for 20 days and completed the work.  What will be the efficiency ratio of Akshay and Monika?

(a) 7 : 5

(b) 4 : 3

(c) 5 : 3

(d) 1 : 3

(e) 3 : 1

Q3. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was: 

(a) 2 : 1

(b) 1 : 4

(c) 1 : 2

(d) 4 : 1

(e) None of these 

Q4. A shopkeeper marks up his goods by 20% and then gives a discount of 20%. Besides he cheats both his supplier and customer by 100 grams i.e., he takes 1100 gram from his supplier and sells only 900 grams to his customer. What is his net profit percentage? 

(a) 24.5%

(b) 17.33%

(c) 25%

(d) 32.5%

(e) 20%

Q5. Sandesh got Rs 6000 as his share out of the total profit of Rs 9000 which he and Sanket earned at the end of one year. If Sandesh invested Rs 20000 for 6 months, whereas Sanket invested his amount for the whole year, the amount invested by Sanket was 

(a) Rs 60000

(b) Rs 10000

(c) Rs 40000

(d) Rs 5000

(e) None of these

Solutions (1-5):

Q6. Avanish and Bikas entered into partnership with Rs 700 and Rs 600 respectively. After 3 months Avanish withdrew  of his stock but after 3 months more he put back  of what he had withdrawn. The profits at the end of the year are Rs 726, how much of this should Avanish receive? 

(a) Rs 633

(b) Rs 336

(c) Rs 663

(d) Rs 366

(e) None of these

Directions (Q7-8): The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. 

Q7. What is the value of a two–digit number?

A. The sum of the digits is 5. 

B. The difference of the squares of the digits is 15. 

C. The difference of their digits is 3. 

(a) A and B together are sufficient 

(b) B and C together are sufficient

(c) C and A together are sufficient

(d) Any one pair of A and B, B and C or C and A is sufficient

(e) A, B and C together are necessary 

Q8. What is the perimeter of a rectangular field? 

I. The area of the field is 2400 sq.metres. 

II. The diagonal of the field is 50 metres. 

III. The ratio between the length and the breadth of the field is 3 : 2. 

(a) All I, II and III together are required 

(b) Any two of I, II and III are sufficient 

(c) Only I and II are required 

(d) Only II and III are required 

(e) None of these 

Directions (Q.9-10): Study the following information carefully to answer the questions that follow : 

A box contains 2 blue marbles, 4 red marbles, 5 green marbles and 1 yellow marble. 

Q9. If four marbles are picked at random, what is the probability that none is green? 

Q10. If two marbles are picked at random, what is the probability that both are blue? 

Solutions (6-10):

Directions ( 11 – 15): Study the following pie chart and answer the following questions.

Percentage distribution of Income of 7 firms in year 2010 and 2013 is given below in pie chart. Percentage distribution of some firms are not given. You have to calculate these values if required to answer the questions.

Q11. If expenditure of B in 2010 is 80% of its income and expenditure of E in 2013 is 60% of its income and income of E in 2013 is 100/3% more than the income of E in 2010 then saving of B in 2010 is what percent of saving of E in 2013. 

Q12. What is the ratio of average income of firm A, B and E together in 2010 to the average of income of firm B, C and D together in 2013.

(a) 203 : 201 

(b) 133 : 123

(c) 185 : 126 

(d) 119 : 143 

(e) None of these

Q13. If income of firm E in 2013 is  of income of E in 2010 and ratio between percentage distribution of  income of firm F and G is 11 : 8 in 2013 then what is the percentage distribution of income of firm F in 2013? 

Q14. Income of firm A, B and E together in 2010 is approximate what % more or less than income of firm C, D and E together in 2013 if income of firm E in 2013 is 50% more than income of firm A in 2010 (approximately)?  

(a) 7%

(b) 5%

(c) 5.1%

(d) 8%

(e) 48%

Q15. If income of firm A and B together in 2013 is 120% of income of firm A and B together in 2012 then income of firm A and B together increase/decrease by what percent approximately in 2012 with respect to 2010. 

(a) 30%

(b) 23%

(c) 20%

(d) 9%

(e) 12%

Solutions (11-15):