Numerical Ability

1. (11.49)4 = ?
a) 15544
 b) 16729
 c) 17430
d) 18443
e) 19031

2. (2198 – 1347 – 403) ÷ (159 – 113 – 27) = ?
a) 15
 b) 24
 c) 37
d) 49
 e) 53

3. (825% of 330) ÷ 507 = ?
a) 5
 b) 11
 c) 17
d) 23
 e) 27

4. √888888 × 1.486 = ?
a) 1200
b) 1000
c) 1600
d) 1400
e) 800


5. 564.666 + 82.5091 × 44.581 – 34.111 = ?
a) 28450
b) 4000
 c) 1600
d) 14225
e) 4210
 
Directions (Q. 6-10) Each question below is followed by two statements A and B. You are to
determine whether the data given in the statement is sufficient for answering the question. You should
use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer (1) if the statement A alone is sufficient to answer the question, but the statement B
alone is not sufficient.
Give answer (2) if the statement B alone is sufficient to answer the question, but the statement A
alone is not sufficient.
Give answer (3) if both statements A and B together are needed to answer the question.
Give answer (4) if either the statement A alone or statement B alone is sufficient to answer the
question.
Give answer (5) if you cannot get the answer from the statements A and B together, but need even
more data.
6. Is A an odd number?
A. A multiplied by an odd number is equal to an odd number.
B. A is not divisible by 2.
if either the statement A alone or statement B alone is sufficient to answer the
question.
A multiplied by an odd number is equal to an odd number i.e. odd number × odd number =
odd number 

7. The ages of Pradumn and Gunit are in the ratio of 7 : 5. What is the age of Pradumn?
A. The ages of Pradumnand Nandini are in the ratio of 3 : 1.
B. After 7 years the ratio of Pradumn’s and Aviral’s ages will be 4:3.
 if you cannot get the answer from the statements A and B together, but need even
more data.

8. What is the salary of B, in a group of A, B, C and D whose average salary is Rs.62880?
A. Total of the salary of A and C is exact multiple of 8.
B. Average of the salary of A, C and D is Rs.61665.

  if the statement B alone is sufficient to answer the question, but the statement A
alone is not sufficient.
From statement II, Average of the salary of A, B, C and D is Rs.62880
Average of the salary of A, C and D is Rs.61665
So the salary of B = (62880 × 4) – (61665 × 3) = 66525
So, only Ii is enough to provide the answer

9. What is the three digit number?
A. The three digit number is divisible by 9.
B. The 1st and 3rd digit is 6.
if both statements A and B together are needed to answer the question.
From statement II, number is = 6 × 6
From statement I, number is divisible by 9 so the number is 666
10. What is the profit earned by selling a printer for Rs.3000?
A. The cost price of 6 such printers is equal to selling price of 5 such printers.
B. 20% profit is earned by selling each printer.
if either the statement A alone or statement B alone is sufficient to answer the
question.
11. The product of two consecutive even numbers is 9408. Which is the greater of the two
numbers?
a) 96
b) 98
c) 94
d) 92
e) None of these

12. What is 27% of 36% of 5/9th of 4500?
a) 239
 b) 241
c) 243
d) 245
 e) None of these

13. The simple interest accrued on an amount of Rs.40000 at the end of three years is Rs.12000.
What would be the compound interest accrued on the same amount at the same rate in the
same period?
a) Rs.18765
b) Rs.15350
c) Rs.21555
d) Rs.13240
 e) None of these

14. If the numerator of a fraction is increased by 300% and the denominator is increased by
100%. The resultant fraction is 1-11/19. What was the original fraction?
a) 15/19
 b) 13/19
 c) 5/9
d) 4/
e) None of these
x+3x/y+y=30/19


15. 42 women can do a piece of work in 18 days. How many women would be required to do the
same work in 21 days?
a) 36
 b) 24
 c) 30
d) 44
 e) None of these

16. The ages of Sulekha and Arunima are in the ratio of 9 : 8 respectively. After 5 years the ratio
of their ages will be 10 : 9. What is the difference in years between their ages?
a) 4 years
 b) 5 years
c) 6 years
d) 7 years
e) None of these

9x+5/8x+5=10/9
81x + 45 = 80x + 50
81x – 80x = 50 – 45
x = 5
Difference = 9 × 5 – 8 × 5
= 45 – 40 = 5 years

17. By how much is 3/4th of 568 lesser than 7/8th of 1008?
a) 444
b) 448
 c) 455
d) 456
 e) None of these


19. Vishakha spent Rs.68357 on the renovation for her home, Rs.25675 on buying music system
and the remaining 28% of the total amount she had as cash with her. What was the total
amount?
a) Rs.94032
b) Rs.36568
c) Rs.130600
d) Can’t be determined
e) None of these

Total amount =100 × (68357+25675 )/100-28
= 130600


20. Five-sixth of a number is 720. What will 45% of that number be?
a) 346.6
b) 388.8 
c) 392.2
d) 344.4
 e) None of these
5/6=720
720*6/5=864
864*45/100=388.8

21. Kruti took a loan at simple interest rate of 6% in the first year with an increase of 0.5% in
each subsequent year. She paid interest of Rs.3375 after four years. How much loan did she
take?
a) Rs.12500 
b) Rs.33250
c) Rs.15800
d) Can’t be determined
 e) None of these
Suppose the principle is Rs.x
x6 + 6.5 +7 .0 + 7.5/100 = 3375
x/100× 27 = 3375
x =3375 ×100/27 = Rs.12500

or assume amount 100 rs ,SO interest every 4 year=6+6.5+7+7.5=27
Now 27   3375
         100  !         =3375 ×100/27 = Rs.12500


22. A 240 m long train takes 40 s longer to cross a platform twice its length than the time it takes
to cross a pole at the same speed. What is the speed of the train?
a) 6 m/s
 b) 24 m/s
 c) 48 m/s
d) 12 m/s
e) None of these
Suppose the speed of the train = x m/s
240/x+ 40 =240+480/x
240 + 40x = 720
40x = 720 – 240
40x = 480
x = = 12 m/s

23. In how many different ways can the letters of the word ‘RIDDLED’ be arranged?
a) 1680
 b) 840 
c) 2520
d) 5040
 e) None of these
There are 7 letters in the word RIDDLED whereas D comes three times.







7!/3!=840

24. What would be the cost of building a fence around a circular plot of area 98.56 sq. feet, if the
cost of fencing per foot is Rs.614?
a) Rs.60515.84
 b) Rs.30257.92
c) Rs.21612.80
d) Rs.43324.60
 e) None of these
Radius of circular plot = √98.56 ×7/22
√31.36 = 5.6
Length of fence = 2 ×22/7 × 5.6 = 35.2 foot
Required cost of fencing per foot = 35.2 × 614 = Rs.21612.8

25. Michelle got married 9 years ago. Today her age is 1-1/3 times her age at the time of
marriage. At present her daughter’s age is one-sixth of her age. What was her daughter’s age
two years ago?
a) 6 years
b) 7 years
c) 3 years
d) Can’t be determined
e) None of these

Suppose at the time of marriage, the age of Michelle was x years.
x + 9 = 4/3x
x/3= 9
x = 3 × 9 = 27 years
Present age of Michelle = 27 + 9 = 36 years
Her daughter’s age two years ago = 36/6– 2 = 6 – 2 = 4 years

33. Samir drove at the speed of 45 km/hr from home to a resort. Returning over the same route,
he got stuck in traffic and took an hour longer, also he could drive only at the speed of 40
km/hr. How many kilometres did he drive each way?
a) 250 km
 b) 300 km
c) 310 km
d) 275 km
e) None of these
 x/40-x45=1
x=360


34. 20 boys and 25 girls from a group of social workers. During their membership drive, the same
number of boys and girls joined the group (e.g. if 7 boys joined, 7 girls joined). How many
members does the group have now, if the ratio of boys to girls is 7 : 8?
a) 75
 b) 65
 c) 70
d) 60
 e) None of these
 Option A
Suppose the number of boys and girls increased are x
=20+x/25+x=7/8
160 + 8x = 175 + 7x
8x – 7x = 175 – 160
x = 15
now the number of members in group = (20 + 15) + (25 + 15)= 35 + 40 = 75


35. Vaishali spent Rs.31897 on the air conditioner for her home. Rs.38789 on buying plasma
television and the remaining 23% of the total amount she had as cash with her. What was the
total amount?
a) Rs.74625
b) Rs.86750
c) Rs.91800
d) Can’t be determined
e) None of these
Total amount =100 × (31897+38789 )/100-23
= 100×70686/77 = 91800

Directions (Q. 36-40) Study the following information carefully to answer the questions.
The teacher’s colony has 2800 members, out of which 650 members read only English
newspaper, 550 members read only Hindi newspaper and 450 members read only Marathi newspaper.
The number of members reading all the 3 newspapers is 100. Members reading Hindi as well as
English newspaper are 200, 400 members read Hindi as well as Marathi newspaper and 300 members
read English as well as Marathi newspaper.




36. Find the difference between number of members reading English as well as Marathi
newspaper and the number of members reading English as well as Hindi newspaper?
a) 300
 b) 200
 c) 100
d) 50
 e) None of these
Number of members reading English as well as Marathi newspapers = 300
Number of members reading English as well as Hindi newspapers = 200
Required difference = 300 – 200 = 100

37. How many members read at least 2 newspapers?
a) 600
b) 800
 c) 500
d) 1000
 e) None of these
Number of members read at least 2 newspapers = 400 + 200 + 300 + 100 = 1000

38. Find the number of members reading Hindi newspaper?
a) 750
 b) 980
 c) 1000
d) 1020
 e) None of these
Number of members read Hindi newspaper = 550 + 200 + 100 + 400 = 1250

39. How many members read only one newspaper?
a) 1560
 b) 1650
 c) 1640
d) 1540
e) None of these
Number of members read at least one newspaper = 550 + 650 + 450 = 1650

40. Find the number of members reading no newspaper?
a) 150
b) 460
c) 550
d) 750
e) None of these
Number of members reading no newspaper = 2800 – (550 + 200 +650 + 400 + 100 + 300 +
450) = 2800 – 2650 = 150