1 . 
What should come in place of question mark (?) in the following equations? $37 \times 37 \times + 33 \times 33 \times 33 \over 37 \times 37 + 33 \times 33  1221$ = ? 

Answer & Explanation
Answer : Option
B


Explanation : 







2 . 
What should come in place of question mark (?) in the following equations? $4.5 \times 6  3.6 \times 5 \over 8.8 \times 5  5.5 \times 6$ = ? 

Answer & Explanation
Answer : Option
C


Explanation : 

? = $27.0  18.0 \over 44  33$ = $9 \over 11$ 





3 . 
A train covers the distance from Delhi to Patna at the speed of 42 kmph and from Patna to Delhi at 48 kmph. What is the average speed of the train? 

Answer & Explanation
Answer : Option
A


Explanation : 







4 . 
The cost of 24 pens and 36 pencils is Rs.720. What is the cost of 6 pens and 9 pencils? 

Answer & Explanation
Answer : Option
C


Explanation : 







5 . 
If the sum of five consecutive even numbers A, B, C, D and E is 110, what is the product of B and D? 

Answer & Explanation
Answer : Option
B


Explanation : 

Let A be x.
Then, B = x + 2, C = x + 4, D = x + 6 and E
= x + 8
Now, x + x + 2 + x + 4 + x + 6 + x + 8 = 110
or, 5x = 110  20 = 90
x = 18
B = 20 and D = 24
Hence, B $\times$ D = 20 $\times$ 24 = 480 





6 . 
If 45% of a number is 1291.5, what is 67.5% of that number? 

Answer & Explanation
Answer : Option
D


Explanation : 







7 . 
Two years ago the ratio of the ages of Manoj and Shyam was 15 : 11. Two years hence the ratio of their ages will be 17 : 13. What is the present age of Shyam? 

Answer & Explanation
Answer : Option
A


Explanation : 

Let the present age of Manoj and Shyam be x years and y years respectively.
Then, two year ago, $x  2 \over y  2$ = $15 \over 11$
or, 11x  22 = 15y  30
or, 11x  15y = 8 ... (i)
Again, after two years,
$x + 2 \over y + 2$ = $17 \over 13$
or, 13x + 26 = 17y + 34
or, 13x  17y = 8 ... (ii)
Multiplying eqn (i) by 13 and eqn (ii) by 11,
we get
143x  195y =  104
 143 + 187y =  88 
y = 24 years 





8 . 
The cost of 19 kg Apples is Rs. 1158, that of 17 kg Tomatoes is Rs. 595, and that of 13 kg Oranges is Rs. 949. What is the total cost of 11 kg Apples, 7 kg Tomatoes and 3 kg Oranges? 

Answer & Explanation
Answer : Option
B


Explanation : 







9 . 
Pinky invested an amount of Rs. 24500 at the rate of 9% per annum. After how many years will she get a simple interest of Rs. 37485? 

Answer & Explanation
Answer : Option
C


Explanation : 

T = $100 \times SI \over P \times R$ = $100 \times 37485 \over 24500 \times 9$ = 17 years 





10 . 
50 persons can complete a piece of work in 50 days. How many persons with twice the efficiency will complete the same piece of work in 10 days? 

Answer & Explanation
Answer : Option
D


Explanation : 

For 50 days, the number of persons required = 50
For 10 days, the number of persons required = $50 \times 50 \over 10$ = 250
As efficiency is double, so persons required = 125 





