RRB NTPC - Percentage : Aptitude Test

1.

11 1/9 % of 900? 

   A.) 100
   B.) 20
   C.) 81
   D.) None of these

Answer: Option 'A'

11 1/9 % = 1/9 
1/9 × 900 = 100

2.

In an examination it is required to get 40% of minimum marks to pass. A student got 142 marks, Thus he got 22 marks more than minimum marks required to pass. What is total marks? 

   A.) 350
   B.) 400
   C.) 300
   D.) None of these

Answer: Option 'C'

40 % ------> 120 ( 40 × 3 = 120 ) 
100 % ------> 300 ( 100 × 3 = 300 )

3.

Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? 

   A.) Rs. 150
   B.) Rs. 300
   C.) Rs. 250
   D.) Rs. 200

Answer: Option 'C'

Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10 
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250

4.

In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was? 

   A.) 700 votes
   B.) 750 votes
   C.) 600 votes
   D.) 650 votes

Answer: Option 'A'

Total = 100 %,
First person got 60% 
second person got remaining 40 % of votes.
than 40 % = 280 
40% = 40×7 = 280 
100% =100×7 =700votes

5.

Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? 

   A.) Rs. 19.70
   B.) Rs. 19.2
   C.) Rs. 19.85
   D.) Rs. 18.70

Answer: Option 'A'

Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7

6.

If X,Y is 20%,25% greater than Z then how much percentage is X smaller than Y? 

   A.) 5%
   B.) 3%
   C.) 4%
   D.) 6%

Answer: Option 'C'

X = 120% 
Y = 125% 
Z = 100% 
X-Y/Y × 100 = 5/125 × 100 = 4 % smaller than Y

7.

In an elaction between two candidates, 20% of votes are were declares invalid. First candidate got 480 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was: 

   A.) 450 votes
   B.) 3000 votes
   C.) 3200 votes
   D.) None of these

Answer: Option 'B'

(100%-20%=80% 
48%-32%=16% 
16% = 16×30 = 480 
100% =100×30 =3000 votes)

8.

In a class 60% of students passed in telugu, 50% 0f students passde in english. Then if every student Passed in either telugu or english or both the subjects. Then what is the percentage of students passed In both the subjects? 

   A.) 10%
   B.) 20%
   C.) 15%
   D.) 12%

Answer: Option 'A'

passed in Telugu = 60 % 
passed in English = 50 % 
only passed in telugu = 50% 
only passed in english = 40% 
the percentage of studebts passed in both the subjects = 10 %

9.

The population of a town was 1,00,000 three years ago. If increased by 2%, 3% and 5% respectively in the last three years, then the present population of town is

   A.) 1,11,111
   B.) 1,10,101
   C.) 1,10,313
   D.) 1,11,125

Answer: Option 'C'

The present population = (102/100) × (103/100) × (105/100) × 100000 = 1,10,313

10.

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them? 

   A.) 42, 33
   B.) 44, 36
   C.) 43, 36
   D.) 42, 36

Answer: Option 'A'

Let the marks secured by them be x and (x + 9)
Then sum of their marks = x + (x + 9) = 2x + 9
Given that (x + 9) was 56% of the sum of their marks
=>(x+9) = 56/100(2x+9)
=>(x+9) = 14/25(2x+9)
=> 25x + 225 = 28x + 126
=> 3x = 99
=> x = 33
Then (x + 9) = 33 + 9 = 42
Hence their marks are 33 and 42

11.

Ganesh scored 93% in his exams. If he scored 84 marks less than the maximum marks. Find the maximum marks

   A.) 1000
   B.) 1200
   C.) 1400
   D.) 1500

Answer: Option 'B'

He scored 7% less than the maximum marks.
7% of x = 84 x = 1200

12.

If X,Y is 20%,30% smaller than Z then how much percentage is Y greater than X? 

   A.) 12%
   B.) 12 1/4%
   C.) 12 1/2%
   D.) 12 3/2%

Answer: Option 'C'

X = 80 % 
Y = 70 % 
Z = 100 % 
X-Y/X × 100 = 10/80 × 100 = 12 1/2 % greater than X

13.

In a class 60% of students passed in telugu, 50% 0f students passde in english. Then every student Passed in either telugu or english or both the subjects and 120 members of students passed in both the subjects. How many number of students are their in the class? 

   A.) 1000
   B.) 1200
   C.) 1400
   D.) None of these

Answer: Option 'B'

only telugu passed = 50 % 
only english passed = 40 % 
both subjects passed student are 10 %, 
Then, 
10 % ------> 120 
100 % ------> 1200students

14.

In an examination it is required to get 30% of minimum marks to pass. A student got 110 marks and was declared failed by 10 marks difference. Then what is total marks:? 

   A.) 400
   B.) 500
   C.) 600
   D.) None of these

Answer: Option 'A'

30 % -------> 120 ( 30 × 4 = 120) 
100% -------> 400 (100 × 4 = 400)

15.

Number decreased by 20% gives 480. The number is: 

   A.) 500
   B.) 600
   C.) 550
   D.) None of these

Answer: Option 'B'

Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-" 
A number means = 100 % 
That same number Decreased by 20 % = 80 % 
80 % ------> 480 (80 × 6 = 480) 
100 % ------> 600 (100 × 6 = 600)

16.

In an elaction between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was: 

   A.) 3000 votes
   B.) 5400 votes
   C.) 10000 votes
   D.) 12000 votes

Answer: Option 'C'

100 % - 10 % = 90 % 
54%-36%=18% 
18% ------> 1800 ( 18 × 100 = 1800) 
100% -------> 10000 votes (100 × 100 = 10000)

17.

After selling 35% of the apples, a fruit vendor has 260 apples left. How many did he have originally?

   A.) 300
   B.) 250
   C.) 400
   D.) 350

Answer: Option 'C'

After selling 35% of the apples, he has 65% left.
(65/100) × x = 260x = 400

18.

The population of a town is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years? 

   A.) 700 votes
   B.) 750 votes
   C.) 600 votes
   D.) 650 votes

Answer: Option 'B'

Formula : 
( After =100 denominator 
Ago = 100 numerator) 
8000 × 80/100 × 80/100 = 5120

19.

When a number is first increased by 10% and then reduced by 10%, The number is: 

   A.) Does not change
   B.) Decreases by 1%
   C.) Increases by 1%
   D.) None of these

Answer: Option 'B'

Farmula = AFTER INCREASED 10% × AFTER REDUCED 10%/TOTAL 100% 
= 110 × 90/100 = 99 % 
= Decreases by 1%

20.

From the salary of Roja, 20% is deducted as house rent, 10% of rest she spends on children's education and 20% of balance she spends on watching movies. If her savings are Rs.5760/- then hers total salary is: 

   A.) Rs.11520/-
   B.) Rs.10000/-
   C.) Rs.12000/-
   D.) None of these

Answer: Option 'B'

FORMULA:
First value = last value×100/100-p1×100/100-p2×---------------- (p=percentage) 
First value = 5760×100/100 - 20×100/100 - 10×100/100 - 20 
= 5760 × 100/80× 100/90× 100/80 = 10000/-


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