65
Q:

# In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

 A) 18 B) 36 C) 45 D) None of these

Explanation:

Let R, G and B represent the number of balls in red, green and blue boxes respectively.

Then,

R + G + B = 108 ...(i),

G + R = 2B ...(ii)

B = 2R ...(iii)

From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.

Putting G = 3R and B = 2R in (i), we get:

R + 3R + 2R = 108 ${\color{Blue}&space;\Rightarrow&space;}$ 6R = 108 ${\color{Blue}&space;\Rightarrow&space;}$ R = 18.

Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

Q:

In the given numbers, if in each number first digit is replaced by the third digit, second digit is replaced by the first digit and third digit is replaced by the second digit then which number will be the biggest ?

653   749   872   933   541

 A) 933 B) 872 C) 749 D) 653

Explanation:

From the given data,

Largest number = 974

Therefore, the required number is 749.

3 18
Q:

If two line pa + b = 2 and 3a + b = 4 are parallel to each other, then what is the value of p ?

 A) 1 B) 2 C) 3 D) 4

Explanation:

Given two lines are parallel

pa+b=2

b=-pa+2..........(1)

3a+b=4

b=-3a+4 ...........(2)

m1 = -p

m2= -3

The condition for the two lines to be parallel is m1=m2

p = 3

6 77
Q:

If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ?

 A) 0 B) 1 C) 2 D) 3

Explanation:

Here 5, 7 & 9 are repeating after modulation.

9 152
Q:

In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?

 A) 110 B) 90 C) 100 D) 180

Explanation:

Let number of 2 wheelers be 'x'
and 4 wheelers be 'y'

Given total number of vehicles = 200
i.e, x + y = 200 ....(1)

Given total number of wheels = 580
i.e, 2x + 4y = 580 ...(2)

By solving (1)&(2), we get

y = 90
=> x = 110

Therefore, number of two wheelers = 110
number of four wheelers = 90

8 271
Q:

Rajitha has a calculator, which has 10 digits. She want to clean the calculator by removing all the keys and while reassembling it, she interchanged the locations of 3 pairs of keys. For example, if she placed the key ‘3’ in the place of the key ‘7’, she placed the key ‘7’ only in the place of the key ‘3’ and not any other key. All keys that were interchanged corresponded only to numbers. Later, she input some calculations and obtained outputs as provided in the table below. The input is shown in terms of the keys that Kavitapressed, while the output is the output displayed by the calculator.

Output:

1.   95 + 84=128
2.   128 + 64=195
3.   912 + 43=942
4.   178 + 19=192

Question :

Which of the following pair of digits is unchanged ?

 A) 9, 0, 3 B) 1, 3, 8 C) 7, 0, 1 D) 2, 4, 1

Explanation:
 0 1 2 3 4 5 6 7 8 9 0 1 4 8 2 6 5 7 3 9

Here pairs interchanged are

2, 4

3, 8

5, 6

Unchanged are 0, 1, 7, 9