2
Q:

Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

A) 10 B) 15
C) 20 D) 25

Answer:   A) 10

Explanation:

20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.

Q:

In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?

A) 60 B) 52
C) 45 D) 35
 
Answer & Explanation Answer: D) 35

Explanation:

Let the total applicants be 100
Then, 20% got 85 marks

i.e 20  85 = 1700

and 25% got 95 marks

i.e 25  95 = 2375

Now, the remaining applicants are 55 and let the average marks scored by them be x.

 2375 + 1700 + 55 x  =  60  100

 6000 - 4075 = 55x
 55x=1925
 x= 
x=35.

 

 

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5 17
Q:

A sales boy is allowed  % discount on the total sales made by him plus a bonus of % on the sales over Rs.12,000.If his total earnings were Rs.2400, then his total sales(in Rs.) are ?

A) Rs.60,145.23 B) Rs.54,285.54
C) Rs.52,147.85 D) Rs.50,589.47
 
Answer & Explanation Answer: D) Rs.50,589.47

Explanation:

Let the total earnings be Rs.x

Then % of x + % of (x-12,000) =2400

=>   +    =2400

=>  x=50,589.47

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5 143
Q:

The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year?

Answer

As per given data, P = 415600, R1= 25% incresed, R2 = 30% decreased


Population of the city at the end of the second year= 



363650.

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9 115
Q:

The ratio of earnings of A and B is 4:5. If the earnings of A increase by 20% and the earnings of B decrease by 20%, the new ratio of their earnings becomes 6:5. What are A's earnings?

A) Rs.22,000 B) Rs.27,500
C) Rs. 26,400 D) Cannot be determined
 
Answer & Explanation Answer: D) Cannot be determined

Explanation:
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57 2133
Q:

If the length of a rectangle is increased by 10% and the area is unchanged , then its corresponding breadth must be decreased by?

Answer

Suppose length = 100m and breadth = x m


Area = 100 m


New length = 110m and breadth = (x-y% of x)


Then, \inline 110\times (x-\frac{y}{100}x)=100\times x


\inline \Rightarrow \inline 110\times (1-\frac{y}{100})=100


\inline \Rightarrow \inline 1-\frac{y}{100}=\frac{100}{110}


\inline \Rightarrow \frac{y}{100}=1-\frac{100}{110}=\frac{1}{11}


\inline y=\frac{100}{11}=9\frac{1}{10}%

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52 2326