Maths questions for SSC CGL Examinations and RAILWAY

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 After 3 months Avanish withdrew  of his stock but after 3 months more he put back  of what he had withdrawn.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):