Aptitude and Reasoning Questions

Q:

Determine the exact and ordinary simple interest on a 90-day loan of $8000 at 812 %

A) 150$ B) $160
C) $170 D) $180
 
Answer & Explanation Answer: C) $170

Explanation:

Exact interest, I= prt = $8000 × 0.085 × 90/365 = 167.67

 

Ordinary Interest, I= Prt = $8000 x 0.085 x 90/360 = 170

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Filed Under: Simple Interest
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Q:

Jay wants to buy a total of 100 plants using exactly a sum of Rs 1000. He can buy Rose plants at Rs 20 per plant or marigold or Sun flower plants at Rs 5 and Re 1 per plant respectively. If he has to buy at least one of each plant and cannot buy any other type of plants, then in how many distinct ways can Jay make his purchase?

A) 3 B) 6
C) 4 D) 2
 
Answer & Explanation Answer: A) 3

Explanation:

Let the number of Rose plants be ‘a’.
Let number of marigold plants be ‘b’.
Let the number of Sunflower plants be ‘c’.
20a+5b+1c=1000; a+b+c=100

 

Solving the above two equations by eliminating c,
19a+4b=900

b = (900-19a)/4 

b = 225 - 19a/4----------(1)


b being the number of plants, is a positive integer, and is less than 99, as each of the other two types have at least one plant in the combination i.e .:0 < b < 99--------(2)

Substituting (1) in (2),

 0 < 225 - 19a/4 < 99

225 <  -19a/4 < (99 -225)

=> 4 x 225 > 19a > 126 x 4

=> 900/19 > a > 505

 

a is the integer between 47 and 27 ----------(3)
From (1), it is clear, a should be multiple of 4.


Hence possible values of a are (28,32,36,40,44)


For a=28 and 32, a+b>100
For all other values of a, we get the desired solution:
a=36,b=54,c=10
a=40,b=35,c=25
a=44,b=16,c=40


Three solutions are possible.

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Q:

Solve the equation 122x+1 = 1 ?

A) -1/2 B) 1/2
C) 1 D) -1
 
Answer & Explanation Answer: A) -1/2

Explanation:

Rewrite equation as 122x+1 = 120

 

Leads to 2x + 1 = 0 

 

Solve for x : x = -1/2

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Filed Under: Logarithms
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37 6939
Q:

A group of 1200 persons consisting of boys and girls is travelling in a Bus. For every 15 boys there is one girl. The number of girls in the group is ?

A) 60 B) 65
C) 70 D) 75
 
Answer & Explanation Answer: D) 75

Explanation:

If there are x girls, then
x + 15x = 1200
16x = 1200
x= 1200/16 = 75

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Filed Under: Arithmetical Reasoning
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Q:

A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in  ?

A) 8 hrs B) 12 hrs
C) 6 hrs D) 4 hrs
 
Answer & Explanation Answer: C) 6 hrs

Explanation:

Suppose A, B and C take x, x/2 and x/3 respectively to finish the work. 

Then, (1/x + 2/x + 3/x) = 1/2 

=> 6/x = 1/2      => x = 12 

So, B takes 6 hours to finish the work.

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Filed Under: Time and Work
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4 6935
Q:

In the following question, a matrix of certain characters is given.These characters follow a certain trend, row-wise or column wise.Find out this trend and choose the missing character accordingly.

B G N
D J R
G N ?

A) U B) V
C) W D) X
 
Answer & Explanation Answer: C) W

Explanation:

 The letters in the first row follow the sequence +5, +7.

The letters in the second row follow the sequence +6, +8.
In the third row, the first letter G moves 7 steps forward to give the second letter N.
Clearly, the missing letter will be 9 steps ahead of N i.e. W.

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247 6933
Q:

Twelve percent of Kalyan's monthly salary is equal to the sixteen per cent of Nandu's monthly salary. Sarnesh's monthly salary is half that of Nandu's monthly salary. If sarnesh's annual salary is Rs. 1.08 lacs, What is Kalyan's monthly salary ?

A) 15,000 B) 36,000
C) 24,000 D) 12,500
 
Answer & Explanation Answer: C) 24,000

Explanation:

Let K = Kalyan's monthly salary
N = Nandu's monthly salary
S = Sarnesh's monthly salary.
Then from given data,
12% of K = 16% of N
S = N/2 => N = 2S
K = 16/12 x N = 16/12 x 2S
= 16/6 x 1.08/12 = 16/6 x 0.09 = 0.24 lacs = 24,000

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Filed Under: Percentage
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Q:

Prashanth sold a album for $ 735 and made a profit of 22.5% . The cost price of the album went up by $120 and so Prashanth increased the selling price by $120. What is his profit % now ?

A) 19.32 % B) 18.75 %
C) 21.41 % D) 22 %
 
Answer & Explanation Answer: B) 18.75 %

Explanation:

Prashanth sold a album for $ 735 and made a profit of 22.5% .
CP = 735 x 100/122.5 = Rs. 600
New CP = 600 + 120 = Rs. 720
New SP = 735 + 120 = Rs. 855.

Profit = Rs. 135.

profit % = 100 x 135/720 = 18.75%.

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Filed Under: Percentage
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