IBPS CLERKS Numerical Ability Directions (Q.1-4): What should come in place of question mark (?) in the following questions? 1. 240% of 42? = 44% of 160 1) 43.7 2) 30.4 3) 53.7 4) 14.37 5) None of these 2. 60 + 36 4 =? 2 100 1) 124 2) 15376 3) 13 4) 169 5) None of these 4 3 3 3. 22 + 31? = 4 7 5 14 2 3 67 1) 42 2) 49 3) 5 9 170 70 67 4) 49 5) None of these 70 1 1 1 1 1 + + + ( 2 2 2 2 ) 4 4. =? 1 1 1 1 1 1 + + + + 4 4 4 4 4 4 8 1) 5 2) 4 3) 5 4) 3 5) None of these 5. Which of the following equations are equal? 1 4 2 1 4 2 A) a 2 + b 2 ( + ab B) a + b ) 4 9 3 4 3 ( 1 2 2 1 4 2 2 C) a + b ) ( D) a b ) 2 3 3 3 5 R-20-11-14 1) Only A and B 2) Only A and C 3) Only A, B and C 4) All the four 5) None of these
6. 4 litres of water is evaporated on boiling from 16 litres of sugar solution containing 30% sugar. What is the percentage of sugar in the remaining sugar? 1) 40% 2) 10% 3) 25% 4) 24% 5) None of these 7. A certain number of articles were purchased for Rs.144. Two more articles could have been purchased for the same amount if each article was cheaper by Rs.1. Find the number of articles purchased. 1) 18 2) 15 3) 14 4) 16 5) None of these 8. A sum of money will become Rs.8,060 in 4 years at 6% per annum simple interest. Find the sum. 1) Rs.6,125 2) Rs.5,300 3) Rs.5,500 4) Rs.6,750 5) None of these 9. A 145 metre long train, running at a speed of 69 kmph overtakes another train which is running in the same direction at a speed of 35 kmph in 27 seconds. Find the length of the second train? 1) 120 m 2) 145 m 3) 255 m 4) 110 m 5) None of these 10. A, B and C divide an amount of Rs.4,200 amongst themselves in the ratio of 7 : 8 : 6 respectively. If an amount of Rs.200 is added to each of their shares, what will be the new respective ratio of their shares of amount? 1) 8 : 9 : 6 2) 7 : 9 : 5 3) 7 : 8 : 6 4) 8 : 9 : 7 5) None of these Directions (Q.11-15): Study the following graph carefully to answer the questions that follow Number of Computers Manufactured and Sold by Various Companies A, B, C, D and E in a year (Numbers in Lakhs).
40 35 30 25 20 15 10 5 0 11. What is the respective ratio of the number of computers manufactured by companies A and D together to the number of computers sold by companies C and E together? 1) 4 : 5 2) 14 : 11 3) 8 : 9 4) 7 : 5 5) None of these 12. The number of Computers manufactured by Company E is what percent of the number of Computers manufactured by Company D? 1) 120% 2) 112.5% 3) 83.34% 4) 65.25% 5) None of these 13. What is the difference between the average number of computers manufactured by all the companies together and the average number of computers sold by all the companies together? 1) 8 2) 8000 3) 80000 4) 800000 5) None of these 14. The number of computers manufactured by company B is how much percent more than the number of computers sold by company D? 1) 28.5% 2) 40% 3) 60% 4) 140% 5) None of these 15. The number of computers manufactured by company E is approximately what percent of the number of computers manufactured by all the companies together? 1) 22% 2) 18% 3) 14% 4) 25% 5) 32% A B C D E Companies Manufactured Sold
Directions (Q. 16-20): In each of the following number series questions, a number is wrong. You have to identify that number. 16. 19 21 45 139 562 2811 1) 19 2) 2811 3) 45 4) 139 5) 562 17. 4 18 48 100 190 294 1) 294 2) 18 3) 190 4) 100 5) 148 18. 32 58 106 187 308 477 1) 477 2) 187 3) 32 4) 58 5) 106 19. 2.5 4.7 0.3 9.1 8.5 26.6 1) 2.5 2) 9.1 3) 4.7 4) 8.5 5) 26.6 20. 13 66 326 1626 8126 40626 1) 326 2) 40626 3) 8126 4) 13 5) 66 ANSWERS 1-2; 2-3; 3-4; 4-2; 5-3; 6-1; 7-4; 8-5; 9-4; 10-4; 11-5; 12-1; 13-4; 14-3; 15-4; 16-5; 17-3; 18-4; 19-5; 20-4. 1. 240% of 42? = 44% of 160? = 240% of 42 44% of 160 240 44 42 160 =? 100 100 EXPLANATIONS 100.8 70.4 =?? = 30.4
2. 60 + 36 4 =? 2 100 60 + 9 + 100 =? 2? 2 = 169 = 13 2? = 13 4 3 3 3. 22 + 31? = 4 7 5 14 4 3 3? = 22 + 31 4 7 5 14 4 3 3 7 5 14? = 22 + 31 4 + ( + ) 67 67? = 49 + = 49 70 70 ( 2 2 2 2 ) 4 1 1 1 1 1 + + + 4. 1 1 1 1 1 1 + + + + 4 4 4 4 4 4 1 2 4 2 4 = = = 4 1 1 1 + 1 1 + 4 4 5. Substitute a and b values as '1' and solve all the equations. All A, B and C values will be same and D value will be different. 6. Sugar quantity is 30% of 16 = 4.8 Sugar quantity will be the same in the remaining solution as only water evaporates when boiled Required percentage of sugar is 4.8 100 = 40% 12 7. Let the number of articles purchased be 'x'. 144 144 = 1 x = 16 x x + 2
Shortcut: Solve the question by options ( TR 8. Amount = P 1 + ) 100 ( 4 6 8060 = P 1 + ) 100 P = 8060 100 = Rs.6,500 124 Shortcut: For one year, rate of interest is 6% and for 4 years it is 4 6% = 24%. Then the amount will become 124%. If 124% money is Rs.8,060, 100% money will be 100 8060 = Rs.6,500 124 9. Let the length of the second train be 'x' metres. 5 145 + x = (69 35) 27 18 5 145 + x = 34 27 18 x = 255 145 = 110 Length of the second train is 110 m. 10. Total Parts = 7 + 8 + 6 = 21 21 = 4200 4200 each part = = 200 21 Their shares are 7 200, 8 200 and 6 200 1400, 1600 and 1200 If 200 is added to each of them then their shares will be 1600, 1800 and 1400 Their ratio = 1600 : 1800 : 1400 = 8 : 9 : 7 11. (20 + 25) : (5 + 20) 45 : 25 = 9 : 5 30 12. 100 = 120% 25
13. Average Number of manufactured 20 + 35 + 10 + 25 + 30 120 = = 5 5 Average Number of Sold 15 + 20 + 5 + 20 + 20 80 = = 5 5 120 80 40 Difference = = = 8 lakhs 5 5 5 14. 35 20 15 100 = 100 = 60% 25 25 15. 30 100 20 + 35 + 10 + 25 + 30 30 100 = 25% 120 16. 19 1 + 2 = 21 21 2 + 3 = 45 45 3 + 4 = 139 139 4 + 5 = 561 561 5 + 6 = 2811 17. 2 3 2 2 = 4 3 3 3 2 = 18 4 3 4 2 = 48 5 3 5 2 = 100 6 3 6 2 = 180 7 3 7 2 = 294 19. 2.5 + 2.2 = 4.7 4.7 4.4 = 0.3 0.3 + 8.8 = 9.1 9.1 17.6 = 8.5 8.5 + 35.2 = 26.7
18. 32 + 5 2 = 57 57 + 7 2 = 106 106 + 9 2 = 187 187 + 11 2 = 308 308 + 13 2 = 477 20. 14 5 4 = 66 66 5 4 = 326 326 5 4 = 1626 1626 5 4 = 8126 8126 5 4 = 40626 Writer: Dr. G.S. Giridhar