1 . 
Direction (Q. 15): Following table shows the details of total number of students passed in final year exams of graduation from different colleges and the ratio of BA, BSc and BCom students among them.
College 
Total 
BA 
BSc 
BCom 
A 
1298 
3 
5 
3 
B 
1445 
8 
5 
4 
C 
1332 
5 
4 
3 
D 
1740 
7 
4 
4 
E 
1190 
3 
2 
2 
F 
2024 
8 
9 
6 
G 
2250 
5 
6 
7 
H 
1341 
3 
2 
4 
I 
1586 
3 
5 
5 
J 
1984 
5 
9 
2 
What is the total number of students who passed BA from all ten colleges together ?


Answer & Explanation
Answer : Option
D


Explanation : 

Total number of students
= 1298/(3+5+3) x 3 + 1445/(8+5+4) x 8 ......






2 . 
What is the ratio of the number of students who passed B A from College E to the number of students who passed BCom from College B ?


Answer & Explanation
Answer : Option
D


Explanation : 

Ratio = 1190/7 x 3/1445/17 x 4 = 510/340 = 3/2






3 . 
The number of students who passed BSc from College B is what percentage of the number of students who passed B A from college G ?


Answer & Explanation
Answer : Option
C


Explanation : 

Reqd % = 425/625 x 100 = 68%






4 . 
The number of students who passed BSc from College F is what percentage more than the number of students who passed BSc from College G ?


Answer & Explanation
Answer : Option
B


Explanation : 

Reqd % = 792  750/750 x 100
= 4200/750 = 5.6%






5 . 
The number of students who passed BCom from College J is what percentage of the total number of students who passed from College G ?


Answer & Explanation
Answer : Option
A


Explanation : 

Reqd percentage = 248/2250 x 100 = 11.022 = 11%






6 . 
What least number must be subtracted from 2641 so that the remainder left, when divided by 10,15 and 25, is 7 in each case ?


Answer & Explanation
Answer : Option
B


Explanation : 

LCM of 10, 15, 25 = 150
When we drive 2641 by 150 the remainder is 91. But the remainder should be 7. So, the number to be subtracted from 2641 is 91  7 = 84.






7 . 
The total population of a village is 12000. If the rate of growth of male population is 15% per year and the rate of growth of female population is 12% per year, and after one year, the total population of the town is 13590, the initial population of females is what percentage of the initial population of males ?


Answer & Explanation
Answer : Option
D


Explanation : 

Let the inital population of females be x.
∴ X x 112/100 + (12000  x) 115/100 = 13590
1.12x + 13800  1.15x = 13590
∴ 0.03x = 210
∴ x = 210/0.03 = 7000
∴ Males = 5000, Females = 7000
∴ Reqd% = 7000/5000 x 100 = 140%






8 . 
The average age of A and B is 23 years. If C replaces A the average age becomes 34 years, and if C replaces B, the average age becomes 29 years. What is the difference between the age of C and that of A ?


Answer & Explanation
Answer : Option
D


Explanation : 

A + B/2 = 23, we get
∴ A + B = 46 ......(i)
B + C/2 = 34,
∴ B + C = 68 .....(ii)
A + C/2 = 29,
∴ A + C =58 .......(iii)
Adding (i), (ii) and (iii), we get
2(A + B + C) = 172
∴ A + B + C = 86 ......(iv)
∴ From (i) and (iv),
C = 86  46 = 40
From (iii),
A = 58  40 = 18
∴ C  A = 40  18 = 22






9 . 
A shopkeeper makes a profit of 20% by selling an item at a certain rate. If he charges `8 more on each item, he earns a profit of 60%. What is the cost price of the item ?


Answer & Explanation
Answer : Option
B


Explanation : 

Let the cost price be Rs. x.
∴ Initial selling price will be
X x 120/100 = 6x/5
Now, if he charges Rs. 8 more, then
6x/5 + 8 = X x 160/100 = 8x/5
6x + 40 = 8x
∴ 2x = 40, ie x =20






10 . 
A certain amount of money grows to Rs. 67600 in two years and to Rs. 87880 in three years on interest compounded annually. What is the rate of interest ?


Answer & Explanation
Answer : Option
D


Explanation : 

Diff = 87880  67600 = 20280 and it is the interest of one year on amount 67600.
∴ 67600xr/100 = 20280
∴ r = 20280/676 = 30. So, rate = 30% pa






