1 . 
The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number?


Answer & Explanation
Answer : Option
C


Explanation : 

4th No. = (Total of 7 Nos)  (Total of first three + total of last 3)
= (15 x 7)  (6 x 3 + 23 x 3)
= 105  (18 + 69) =105  87 = 18






2 . 
The sum of the present age of a father and a son is 60 years. Five years before, the age of the father was four times that of son. What is the present age of the son ?


Answer & Explanation
Answer : Option
C


Explanation : 

Let the father's age be x and son's age y
Therefore, x + y = 60 ....................(i)
Five years back, (x  5) = 4 (y  5)
x  4y =  15 ......................(2)
Solving (1) and (2), x = 45 and y = 15






3 . 
The profit earned by selling an item for Rs 700 is equal to the loss incurred when the same item is sold for Rs 400. What is 50% of the price of the item ?


Answer & Explanation
Answer : Option
D


Explanation : 

Let the price of the item be x
Therefore, 700  x = x  400
Therefore, 2x = 1100
Therefore, x = 550
Therefore, 50% of x = 225






4 . 
In what time will Rs 500 amount to Rs 650 at 6% per annum ?


Answer & Explanation
Answer : Option
B


Explanation : 

Time = 1 x 100/P x r 1 = 650  500 = 150
P = 500, r = 6%
Therefore, Time = 150 x 100/500 x 6 = 5 yrs.






5 . 
'A'can do a piece of work in 10 days and'B'can do the same work in 15 days. How long will it take ifboth work together ?


Answer & Explanation
Answer : Option
C


Explanation : 

A can do 1/10 work in 1 day.
B can do 1/15 work in 1 day.
Therefore, A + B can do (1/10 + 1/15 =) 1/6 work in 1 day
Therefore, A + B can do the work in 1/(1/6) = 6 days.






6 . 
A plot of 1200 sq ft is available for sale at the rate of Rs 240 per sq ft. If the booking amount is 15% of the total cost of the plot, then how much amount does a person need to pay to book that plot ?


Answer & Explanation
Answer : Option
A


Explanation : 

Booking amount is 15% of total cost, ie 15% of (1200 x 240)
= 1200 x 240 x 15/100 = 43200






7 . 
If (35)^{2} is added to the square of a number the answer so obtained is 1394. What is the number ?


Answer & Explanation
Answer : Option
D


Explanation : 

Let the number be x
Therefore, x^{2} + (35)^{2} = 1394
Therefore, x^{2} = 1394  (35)^{2} = 1394  1225  169
Therefore, x = √169 = 13






8 . 
If the product of two positive consecutive even numbers is 528, what is the smaller no ?


Answer & Explanation
Answer : Option
D


Explanation : 

Let the no. be x
Therefore, x x (x + 2) = 528
Therefore, x^{2} + 2x  528 = 0
Therefore, x + 24x 22x  528 = 0
Therefore, x(x + 24)  22(x + 24) = 0
Therefore, (x  22) (x + 24) = 0
= x = 22.  24






9 . 
If x + y = 23 and xy = 132, what is the value of x^{2} + y^{2} ?


Answer & Explanation
Answer : Option
B


Explanation : 

x + y = 23
Therefore, (x + y)^{2} = (23)^{2} = 529
Therefore, x^{2} + y^{2} = 529  2xy = 529  264 = 265






10 . 
In a class the number of boys is 40% more than that of girls. What is the ratio between the number of girls and that of boys.


Answer & Explanation
Answer : Option
D


Explanation : 

Reqd ratio = 100 : 140 = 5 : 7






