Model Question - Numerical Ability - For LGO Examination

1.  The  HCF of two  numbers is  16 and their LCM  is 160 . If one of the numbers is 32  then the other number is 13

2. Six bells commence tolling together  and  toll at intervals of 2,4,6,8,10 and 12 seconds respectively . In 30 minutes , How many  times do they toll together ? 16

3  The difference between simple interest and compound interest at the same rate for Rs  5000 for 2 years  is Rs  72. The rate of interest is 12%

4 A sum of money  amounts to  Rs 10648 in 3 years and Rs 9680 in 2 years . The rate of  interest is  10%

5  A Sum of money  put at simple interest  trebles itself in 15 years. The rate per cent  per annum is 13  1/3 %

6. A Certain sum  of money  at simple interest amounts to Rs  1012 in 2 ½  years and to  Rs 1067.20 in  4 years .  The rate of interest per annum  is 4 %

7. A man  borrows  Rs  4000 from  a bank at 7 ½ % compound interest . At the end of every  year he pays Rs  1500 as part re payment of loan and interest. How much does he still owe to the bank after three such instalments 123.25

8. Five years ago Raju’s age was one third  of the age of joy  and now Raju’s age is 17 years . What is the present age of Joy ? 36 years

9 The age of father  10 years ago was thrice  the age of his son . Ten years hence  the father ‘s age will be twice that of his son. The ratio of their present age is 7:3

10 Ten years ago  A was half of B in age  . if the ratio of their  present ages is  3:4. What will be  the total of their present ages? 35 years

11 The sum of two numbers is  15 an sum of their squares is 113 . The numbers are 7,8

12.  Three numbers are in the ratio 4:5:6 and their average is 25  . The largest number is  30

13 Two trains are running  on parallel lines in the same direction at a speed of 50 KM and 30 km  per hour respectively . The faster train cresses a man in slower train  in 18 seconds . The length of the faster train is 100 meter

14 A train 700 m long is running at the speed of 72 KM per hour . If it crosses a tunnel in 1 minute , then the length of the tunnel is 600 m

15  Two men  start together to walk to a certain destination , one at 3.75 km per hour  and another at 3 KM  an hour . The former arrives half  an hour before latter . The distance is  7.5 KM

16 A  and B can do  a piece of  work  in 18 days , B and  C in 24 days , A and C  in 36  days . In what time can they  do it all  working together ? 16 days

17  A can do certain job in 25 days which b alone can do  in 20 days . A started the work and was joined by  B after 10 days The work lasted for  16 2/3 days

18 If 3 men or 4 women can construct a wall in 43 days , then the number of days that 7 men  and 5 women take to construct it  12 days

19 If the cost price of 15 tables be equal to the selling price of  20 tables , the loss  percent is 25 %

20  Rs 700 is divided among  A, B and C so that A receive half as much as B and B half as much as C . Then C’s share is Rs 400/-

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