03:20
1. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the
child 5 years ago was 20 years. The present age of the husband is:
a) 35 years
b) 40 years
c) 50 years
d) Data inadequate
e) None of these
Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.
Husband's present age = (90 - 50) years = 40 years.
2. A rectangular courty 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles,all of the same size. What is the largest size of the tile which could be used for the purpose?
a) 14 cms
b) 21 cms
c) 42 cms
d) Data inadequate
e) None of these
Largest size of the tile.
HCF of 378 cm and 525 cm = 21 cms.
3. Murugan, Prasanna and Arun invested Rs.8000, Rs.4000 and Rs.8000 respectively in a business.
Arun left after six months. If after eight months, there was a gain of Rs.4005, then what will be the
share of Prasanna?
a) Rs.890
b) Rs.1335
c) Rs.1602
d) Rs.1780
e) None of these
Murugan : Prasanna : Arun
= (8000 × 6) : (4000 × 8) : (8000 × 8)
= 48 : 32 : 64
= 3 : 2 : 4
Prasanna’s share
= Rs.4005 ×2/9
= Rs.890
4. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men
and 10 women?
a) 266
b) 5040
c) 11760
d) 86400
e) None of these
Required number of ways
| = (8C5 x 10C6) | ||||||||
| = (8C3 x 10C4) | ||||||||
|
||||||||
| = 11760. |
5. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability
of getting a prize?
a) 1/10
b) 2/5
c) 2/7
d) 5/7
e) None of these
| P (getting a prize) = | 10 | = | 10 | = | 2 | . |
| (10 + 25) | 35 | 7 |
6. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The
present age of the son is
a) 14 years
b) 18 years
c) 20 years
d) 22 years
e) None of these
Let the son’s present age be x years.
Then, man’s present age
= (x + 24) years
= (x + 24) + 2 = x (x + 2)
= x + 26 = 2x + 4
= 22 years
7. A shopkeeper expects a gain of 22-1/2% on his cost price. If in a week, his sale was of Rs.392, what was his profit?
a) Rs.18.20
b) Rs.70
c) Rs.72
d) Rs.88.25
e) None of these
Here gain = 22 1/2 =22.5%
This implies that 122.5% of the cost price is equal to Rs. 392 (the sale).
Therefore Profit = (392 / 122.5) x 22.5 = 72.
8.. 081 × .484 /.0064 × 6.25 is equal to
a) 0.9
b) 0.99
c) 9
d) 99
e) None of these
=81*464/64*625 =0.99
9. A boy goes to his school from his house at a speed of 3 km./hr and return at a speed of 2 km./hr.
If he takes 5 hours in going and coming, the distance between his house and school is
a) 5 km
b) 5.5 km
c) 6 km
d) 6.5 km
e) None of these
Average speed = [2 × 3 ×2/3 + 2) km./hr.
=12/5 km./hr.
Distance travelled = [ 12/5× 5] km.
= 12 km.
Distance between house and school = [ 12/2] km
= 6 km.
10. A can do a certain work in the same time in which B and C together can do it. If A and B together
could do it in 10 days and C alone in 50 days, then B alone could do it in:
a) 15 days
b) 20 days
c) 25 days
d) 30 days
e) None of these
We read statement get easily answer
11. A man can row upstream at 7 kmph and downstream at 10 kmph. Find man’s rate in still water and the rate of current?
a) 6.5, 1.2 km/hr
b) 8.5, 1.5 km/hr
c) 1.5, 1.6 km/hr
d) 7.5, 1.8 km/hr
e) None of these
Rate in still water = 1/2(10 + 7) km./hr.
= 8.5 km./hr.
Rate of current =1/2(10 - 7) km./hr.
= 1.5 km./hr.
12. Of three numbers whose average is 60, the first is 1/4th of the sum of the other two. The first
number is:
a) 30
b) 60
c) 36
d) 24
e) 20
13. If the ratio of boys to girls in a class is B, and the ratio of girls to boys is G, then B + G is
a)equal to 1
b) greater than 1
c) less than 1
d) greater than or equal to 1
e) None of these
Assume =Boys/Girls =2/3 B, then =Girls/Boys =3/2 G
B + G =2/3 +3/2 = 13/6> 1
14. The annual income of A is 10% less than that of B whose income is 20% more than that of C. If the monthly income of C is Rs.200, find the total annual income of A, B and C together.
a) Rs.7046
b) Rs.7772
c) Rs.6872
d) Rs.7872
e) None of these
Monthly income of C = Rs.200
Income of B = 1.2 × 200 = Rs.240
Income of A = 0.9 × 240 = Rs.216
A + B + C = 656
Annual income = 12 × 656 = 7872
15. The number of students in each section of a school is 24. After admitting new students, three new
sections were started. Now, the total number of sections is 16 and there are 21 students in each section.
The number of new students admitted is:
a) 14
b) 24
c) 48
d) 114
e) None of these
Original number of sections = 16 – 3 = 13
Original number of students = 24 × 13 = 312
Present number of students = 21 × 16 = 336
Number of new students admitted = 336 – 312 = 24
16. David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics,
Chemistry and Biology. What are his average marks?
a) 65
b) 69
c) 72
d) 76
e) None of these
Average = 75
17. On 6th March 2005 Monday falls. What was the day of the week on 6th March 2004?
a) Sunday
b) Saturday
c) Tuesday
d) Wednesday
e) None of these
So, the day on 6th March 2005 will be 2 days beyond the day on 6th March 2004.
But 6th March 2005 is Monday
So, 6th March 2004 is Saturday.
18. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used
together, then how long will it take to fill the tank ?
a) 12 min
b) 15 min
c) 25 min
d) 50 min
e) None of these
Part filled by A in 1 min. =1/20
Part filled by B in 1 min. =1/30
Part filled by (A + B) in 1 min. = [ 1/20+1/30 ]=5/60=1/12
So 12 min
19. A lent Rs.5000 to B for 2 years and Rs.3000 to C for 4 years on simple interest at the same rate of
interest and received Rs.2200 in all from both of them as interest. The rate of interest per annum is:
a) 5%
b) 7%
c) 7 1/8%
d) 10%
e) None of these
20. An agent gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs.12.50 as
commission, the cloth sold through him on that day is worth
a) Rs.250
b) Rs.500
c) Rs.750
d) Rs.1250
e) None of these
Here we get answer from check to option
21. The cost of carpeting a room 18 m long with a carpet 75 cm wide at Rs.4.50 per metre is Rs.810.
The breadth of the room is :
a) 7 m
b) 7.5 m
c) 8 m
d) 8.5 m
e) None of these
Length of the carpet = [total cost/Rate]
810/4.5 mtr= 180 m.
Area of the room = Area of the carpet = [180 ×75/100 ] = 135 ( here cm so convert mtr)
So, breadth of the room = [Area/length ] = [ 135/18] m = 7.5 m
22. A Students was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21,
14 and x. He found the mean to be 12. What should be the number in place of x?
a) 3
b) 7
c) 17
d) 31
e) None of these
Clearly, we have (3+11+7+9+15+13+8+19+17+21+14+x/12)
Number in place x is
137 + x = 144
x = 144 ⎯137
x = 7
23. Which of the following is a pair of co-primes?
a) (16, 62)
b) (18, 25)
c) (21, 35)
d) (23, 92)
e) None of these
HCF of 18 and 25 is 1. So, they are co-primes.
24. A camel pursue an elephant and takes 5 leaps for every 7 leaps of the elephant, but 5 leaps of
elephant are equal to 3 leaps of camel. What is the ratio of speeds of camel and elephant?
a) 21 : 25
b) 24 : 23
c) 25 : 21
d) 23 : 24
e) None of these
Ratio of speed of camel and elephant =5/3:7/5 =5/3 × 15:7/5= 25 : 21
25. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A
would invest Rs.6500 for 6 months, B, Rs.8400 for 5 months and C, Rs.10,000 for 3 months. A
wants to be the working member for which, he was to receive 5% of the profits. The profit earned
was Rs.7400. Calculate the share of B in the profit.
a) Rs.1900
b) Rs.2660
c) Rs.2800
d) Rs.2840
e) None of these
For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
B’s share = Rs. [7030 ×14/37] = Rs.2660
26. A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
a) 3.5
b) 6
c) 8
d) Can’t be determined
e) None of these
Let the number be x
Then, 3 (2x + 9) = 75
2x + 9 = 25
2x = 16
x = 8
27. The ratio between the present ages of A and B is 5:3 respectively. The ratio between A’s age 4
years ago and B’s age 4 years hence is 1:1. What is the ratio between A’s age 4 years ago and B’s age
4 years ago?
a) 1:3
b) 2:1
c) 3:1
d) 4:1
e) None of these
Let the present ages of A and B be 5x and 3x years respectively.
5x – 4:3x + 4=1:1
5x – 4 = 3x + 4
2x = 8
x = 4
Required ratio 5x + 4 : 3x – 4 = 24 : 8 = 3 : 1
28. If Rs.2800 is 2/7 percent of the value of a house, the worth of the house (in Rs.) is:
a) 800000
b) 980000
c) 1000000
d) 1200000
e) None of these
Let the worth of the house be Rs.x
Then, 2/7% of x = 2800
2/7× 1/100× x = 2800
x = 2800×7/2 ×100 = 980000
29. At what profit percent must an article be sold so that by selling at half that price, there may be a
loss of 30%?
a) 25%
b) 36%
c) 40%
d) 42%
e) None of these
Let S.P. = Rs.x
New S.P. = Rs.X/2
Loss = 30%
C.P. = 100/70×X/2 = 5X/7Rs.
Profit = Rs. X - 5X/7=2X/7 Rs.
Profit % = 2X/7× 7/5X× 100% = 40%
30. In a bag, there are coins of 25p, 10p and 5p in the ratio of 1:2:3. If there are Rs.30 in all, how many 5p coins are there?
a) 150
b) 50
c) 100
d) 200
e) None of these
Let the number of 25p, 10p and 5p coins be x, 2x and 3x respectively.
Then, sum of their values = Rs. 25X/100+10×2X/100+5×3X/100 = 60X/100Rs.
60X/100= 30
x = 30×100/60 = 50
Hence, the number of 5p coins = 3 × 50 = 150
31. In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts
invested by A and B was 3:2. If Rs.157300 was their profit, how much amount did B receive?
a) Rs.24200
b) Rs.36300
c) Rs.48400
d) Rs.72600
e) None of these
A : B = 3 : 2
B : A = 2 : 3 = 4 : 6 and A : C = 2 : 1 = 6 : 3
B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3
B’s share = Rs.157300 ×4/13 = Rs.48400
32. 30 labourers, working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6
hours a day, then the number of laborer to finish the same piece of work in 30 days, will be:
a) 15
b) 21
c) 22
d) 25
e) None of these
Let the required number of labourer be x.
Working hours/day = 6 : 7
Days = 30 : 18
6 × 30 × x = 7 × 18 × 30
6x = 126
x = 21
33. X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days.
How long will they together take to complete the work?
a) 13-1/3 days
b) 15 days
c) 20 days
d) 56 days
e) None of these
Capacity of the tank = 12 × 13.5 = 162 litres
Capacity of each bucket = 9 litres
Number of buckets needed =162/9 = 18
34. 12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
a) 8
b) 15
c) 16
d) 18
e) None of these
35. A motorist covers a distance of 39 km in 45 minutes by moving at a speed of x kmph for the first
15 minutes, then moving at double the speed for the next 20 minutes and then again moving at his
original speed for the rest of the journey. Then, x is equal to:
a) 31.2
b) 36
c) 40
d) 52
e) None of these
X*15/60+2X*20/60+X*10/60=39
X/4+2X/3+X/6=39
3X+8X+2X/12=39
13X/12=39
X=36
