1 .
Peter invested a certain sum of money on simple interest whose value grew to Rs. 300 at the end of 3 years and to '400 at the end of another 5 years. What was the rate of interest in which he invested his sum?
Answer & Explanation
Answer : Option C 

Explanation : 

The interest earned for the 5 year period between the 3rd year and 8th year
= 400  300 = 100
As the simple interest earned for a period of 5 years is 100, interest earned per year = 20
Interest earned for 3 years = 3 $\times$ 20 = 60.
Hence, initial amount invested = Amount after 3 years  Interest for 3 years
= 300  60 = 240
Rate of interest = $20 \over 240$ $\times$ 100 = 8.33 % 
2 .
I travel the first part of my journey at 40 km/h and the second part at 60 km/h and cover the total distance of 240 km to reach my destination in 5 hr. How long did the first part of my journey last?
Answer & Explanation
Answer : Option B 

Explanation : 

The total time of journey = 5 hours.
Let x hours be the time that I travelled at 40 km/h
5  xhrs would be time that I travelled at 60 km/h.
Now, we have
40x+ (5  x) $\times$ 60 = 240, we get
40x+ 300  60x= 240
20x= 60 or x= 3 hrs
We can say that the first part of journey last for 3 hrs 
3 .
If $sec q + tan q \over sec q  tan q$ = $5 \over 3$, then sin 6$\sqrt{39}$ is
Answer & Explanation
Answer : Option C 

Explanation : 


4 .
A trader buys goods at a 19% discount on the label price. If he wants to make a profit of 20% after allowing a discount of 10%, by what % should his marked price be greater than the original label price?
Answer & Explanation
Answer : Option D 

Explanation : 

Let the label price be = Rs.100. The trader buys at a discount of 19%.
Hence, his cost = 100  19 = 81.
He wants to make a profit of 20%. Hence his selling price = 1.2 (81) = 97.2
However, he wants to get this Rs/ 97.2 after providing for a discount of 10%. i.e. he will be selling at 90% of his marked price.
Hence, his marked price = 108 which is 8% morethan the original label price. 
5 .
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm is:
Answer & Explanation
Answer : Option A 

Explanation : 

Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm 
6 .
$(0.04)^ { 1.5}$ = ?
Answer & Explanation
Answer : Option B 

Explanation : 


7 .
Study the following table carefully and answer these questions:
The average of number of staffs of A, B, C, D and E is
Answer & Explanation
Answer : Option C 

Explanation : 

Required average
= $250 + 375 + 200 + 450 + 75 \over 5$
= $1350\over 5$ = 270 
8 .
Study the following table carefully and answer these questions:
The sum of the number of staffs of D and E is ..... % less than the sum of the number of staffs of A and B
Answer & Explanation
Answer : Option A 

Explanation : 

A + B = 375 + 250 = 625
D + E = 450 + 75 = 525
Required % (less) =
$(625  525) 100 \over 625$
= $100\times 100 \over 625$
= 16% 
9 .
Study the following table carefully and answer these questions:
The sum of the number of staffs of A and E is _____ % less than D
Answer & Explanation
Answer : Option C 

Explanation : 

A + E = 250 + 75 = 325
D = 450
Required % = $450  325\over 450$ $\times$ 100
= $125 \times 2 \over 9$
= $250\over 9$
= 27.66% 
10 .
What is 40% of 50% of $3\over 4$ of 3200 ?
Answer & Explanation
Answer : Option A 

Explanation : 

40% of 50% of $3\over 4$ of 3200
= $4 \over 10$ $\times$ $5 \over 10$ $\times$ $3 \over 4$ $\times$ 3200 = 4 $\times$ 5$\times$ 3 $\times$ 8 = 480 
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