SBI Clerk 20 Minutes Marathon | Numerical Ability Sectional Test: 21st June 2018

Q1. The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice the age of the son. Find the present age of the father.

Solution:

Q2. In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100. Then the value of x is:

Solution:

Q3. A train passes two persons who are walking in the direction opposite to the direction of train at the rate of 10 m/s and 20 m/s respectively in 12 seconds and 10 seconds, respectively. Find the length of the train.

Solution:

Q4. The distance between two stations A and B is 138 km. A train starts from A towards B and another from B to A at the same time and they meet after 6 hours. The train travelling from A to B is slower by 7 kmph compared to other train from B to A, then find the speed of the slower train?

Solution:

Q5. Ankit and Aadarsh invest Rs. 4000 and Rs. 3000 in a business respectively. Ankit receives Rs. 20 per month out of the profit as a remuneration for running the business and the rest of profit is divided in proportion to the investments. If in a year Ankit totally receives Rs. 360, what does Aadarsh receive?

Solution:

Q6. Nandita scored 80% marks in five subjects together Hindi, Science, Mathematics, English and Sanskrit, where the maximum marks of each subject were 105. How many marks did Nandita scored in Science, if she scored 89 marks in hindi 92 marks in Sanskrit, 98 marks in Mathematics and 81 marks in English?

Solution:

Q7. A number is divided into two parts in such a way that 80% of 1st part is 3 more than 60% of 2nd part and 80% of 2nd part is 6 more than 90% of the 1st part. Then the number is:

Solution:

Q8. The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3 respectively. The price of these articles is increased by 20%, 30% and 50% respectively. The total expenses increased by:

Solution:

Q9. A man purchases two articles at Rs. 1800 each. While selling in one he gains 30% and on the other he loses 25%. What is his gain or loss percent on the whole transaction?

Solution:

Q10. A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 6 cm and 8 cm, then find the edge of the third smaller cube.

Solution:

Directions (11-15): What will come in place of question mark (?) in the following no. series?

Q11. 4, 1, 0.5, 0.5, 1, ?

Solution:

Q12. 6, 9, 18, 45, 126, ?

Solution:

Q13. 2, 4.5, 9.5, 19.5, 39.5, ?

Solution:

Q14. 677, 785, 901, 1025, ? , 1297

Solution:

Q15. 1, 4, 15, 64, 325, ?

Solution:

Q16. A and B can do a job in 15 days and 10 days, respectively. They began the work together but A leaves after some days and B finished the remaining job in 5 days. After how many days did A leave?

Solution:

Q17. 60 kg of an alloy X is mixed with 100 kg of alloy Y. If alloy X has lead and tin in the ratio 3 : 2 and alloy Y has tin and copper in the ratio 1 : 4, then the amount of tin in the new alloy is

Solution:

Q18. A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1 : 1?

Solution:

Q19. A and B can do piece of work in 30 days while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days then B and C leave. How many days more will A take to finish the work?

Solution:

Q20. A boat while travelling upstream covers a distance of 18 km at the speed of 3 km/h, whereas while travelling downstream it covers the same distance at a speed of 9 km/h. What is the speed of the boat in still water?

Solution:

Directions (21-30): Simplify the following questions and find the value of (?). 

Q21. (252 ÷ 21 × 12) ÷ ? = 16

Solution:

Q22. 36865 + 12473 + 21045 – 44102 =?

Q23. (21.6)² ÷ (– 7.2) ² × ? = 15483.36 – 15276.09

Q24. 348 ÷ 29 × 15 + 156 = (?)³ + 120

Solution:

Q25.

Solution:

Q26. 46% of 450 +? % of 19.07 = 359.56

Solution:

Q27. (?)⁴ ÷ 27 = 243

Solution:

Q28.

Solution:

Q29. 0.03 × 0.01 – 0.003 ÷ 100 + 0.03 =?

Solution:

Q30. 17 × 25 – 240 +? ÷ 41 = 354

Solution:

Directions (31-35): The following line graph shows the production of pencils of two companies HB and Class mate during five different years. Study the graph carefully and answer the related questions.

Q31. What is the average no. of HB pencils produced throughout all the years?

Solution:

Q32. If cost price of one class mate pencil in 2011 is Rs. 8 and class mate company made 75% profit as a whole in the same year then find the selling price of one class mate pencil.

Solution:

Q33. The production of HB pencils in the years 2010, 2012 and 2014 together is approximately what percent of total classmate pencils produced in the years 2011, 2013 and 2014 together?

Solution: