Number System Test

Result

Number System Test - 3

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Question 1
2 / -0.83

In the examination a candidate must get 2/5 marks to pass, out of total marks.Shiyam appeared in the exam ang got 198 marks and still failed by 36 marks.The maximum mark is

A
560

B
610

C
585

D
480

E
None of these

Solution

Let the maximum mark be M.

Since Shiyam got 198 marks and still failed by 36 marks, this means that Shiyam needed 2/5 of the maximum mark to pass.

Therefore, 2/5 of M is equal to 198 + 36 = 234.

To find M, we can multiply both sides of the equation by 5/2:

M = 234 * 5/2 = 585.

So, the maximum mark is 585.
Question 2
2 / -0.83

If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 is added to the denominator it becomes 1/6 then find the numerator and denominator is

A
5/26

B
25/4

C
6/17

D
5/27

E
None of these

Solution

Let the numerator be x and denominator be y
Fraction will be x/y
According to the question
(x + 4)/y = 1/3
⇒3x + 12 = y ......(1)
Now,
x/(y + 3) = 1/6
⇒6x = y + 3 ......(2)
Solving both the equations we get
x = 5 and y = 27
So , fraction x/y = 5/27
Question 3
2 / -0.83

One-third of a 2 digit number exceeds its one-fifth by 8.What is the 2 digit number ?

A
80

B
73

C
45

D
60

E
None of these

Solution
Question 4
2 / -0.83

1² +2² +……………………………………+24²

A
3800

B
4900

C
5100

D
5430

E
None of these

Solution
Question 5
2 / -0.83

Micael gets 3 marks for each correct questions and loses 2 marks for each wrong answers.He attempts 30 sum and obtain 30 marks.Find the no of Questions he answered correctly ?

A
18

B
12

C
23

D
20

E
None of these

Solution

let x be the no of correct answer
x+y=30
3x-2y=30
2x+2y=60
5x=90
x=18
Question 6
2 / -0.83

What half of a number is added to 234, it becomes five time of itself. What is the number ?

A
67

B
52

C
71

D
89

E
None of these

Solution

x/2 + 234 = 5x
5x –x/2 = 234
9x/2 = 234
X = 234*2/9= 52
Question 7
2 / -0.83

Twenty times a positive integer is less than its square by 96. What is the Integer ?

A
24

B
45

C
67

D
13

E
None of these

Solution

Let the positive integer be 'x '
Then, 20 times integer = 20x
Square of integer = x²
Twenty times a positive integer is less than its square by 96
x² = 20x + 96
⇒x² - 20x - 96 = 0
⇒x² - 24x + 4x - 96 = 0
⇒x ( x -24) + 4( x - 24) = 0
⇒(x + 4) ×(x -24) = 0
⇒x = -4, x = 24
∴The positive integer is 24
Question 8
2 / -0.83

There are some Parrots and Some Lions in a forest.If the total number of animals head in forest are 840 and total no of animal legs are 1760.What is the number of Parots in the forest ?

A
800

B
740

C
620

D
590

E
None of these

Solution
Question 9
2 / -0.83

When all the students in a school are made to stand in row of 68, 40 such rows are formed.If the students are made to stand in the row of 20, how many such rows can be formed ?

A
85

B
136

C
129

D
97

E
None of these

Solution
Question 10
2 / -0.83

A banana costs Rs.1.25 and Orange costs Rs2.75. What will be the total cost of 10 bananas and 2 dozens Orange ?

A
Rs.52.50

B
Rs.61.75

C
Rs.73.25

D
Rs.78.50

E
None of these

Solution
Question 11
2 / -0.83

What will be the Unit digit of 27!

A
0

B
1

C
3

D
4

E
None of these

Solution
Question 12
2 / -0.83

x^p ×x^q ×x^r = 1 then p³ + q³ + r³ is equal to

A
0

B
1

C
pqr

D
3pqr

E
None of these

Solution
Question 13
2 / -0.83

If the divisor is five times the quotient and six times the remainder, if the remainder is 5 then the dividend is

A
225

B
300

C
185

D
412

E
None of these

Solution

Q=6, R = 5
Dividend = divisor*Q + R
Dividend = 30*6 + 5 = 180+5 = 185
Question 14
2 / -0.83

If the sum and the product of 2 numbers are 25 and 144 respectively then the difference of the number should be

A
11

B
9

C
7

D
15

E
None of these

Solution

A+B = 25
AB = 24
(a-b)² = (a+b)² –4ab
(a-b)² = 25 –4(144)
(a-b)² = 625 –576
(a-b)² = 49
a-b = 7
Question 15
2 / -0.83

The sum of the two digit number is 11. The number obtained by reversing the digit is 27 less than the original number.Then the original number is

A
74

B
47

C
65

D
83

E
None of these

Solution
Question 16
2 / -0.83

The product of 2 consecutive even number is 1224, then one of the number is

A
26

B
36

C
28

D
42

E
None of these

Solution
Question 17
2 / -0.83

21² +22² +23² +…………………30² = ?

A
5640

B
9455

C
6585

D
2870

E
None of these

Solution
Question 18
2 / -0.83

A number when divided by 361 gives a remainder 47. If the Same number is divided by 19 ,the remainder is

A
18

B
11

C
9

D
13

E
None of these

Solution

Let the number be = 361 + 47 = 408
When we divide 408 by 19 we get remainder 9.
Question 19
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The respective ratio between the two digit of a number is 5:3, if the digit at the one ’s place is twice the digit at ten ’s place.What is the number ?

A
63

B
21

C
12

D
Can ’t be determined

E
None of these

Solution
Question 20
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N is the smallest number which when added to the 2000 makes the resulting number divisible by 12, 16, 18 and 21, Then the N is

A
11

B
7

C
9

D
16

E
None of these

Solution

LCM of 12, 16, 18, 21 = 1008
1008*2 = 2016
N = 16