Solution

The largest four digit number = 9999

The largest four digit number divisible by 12, 18 and 24 is

= 9999 - 63

= 9936

Solution

Area of a parallelogram = base * height

x = 18 × 10

= 180

x^2-2x+1=(180)^2-2(180)+1

=32400-360+1

=32,041

Solution

Solution

In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 400 resolutions,

=400*2*(22/7)*23.8

=59840cm

=598.4m

Solution

The numbers are = (26 × 12) and (26 × 13)

The larger number = 26 × 13 = 338

Solution

Let us assume that numbers are 4x and 5x.

LCM of their numbers = 20x

Then 20x = 120 ⇒ x = 6

⇒ 4x = 24 and 5x = 30

⇒ Sum of the numbers = 24 + 30 = 54

Solution

Solution

Ball 1 can be put in any of 6 boxes.

Ball 2 can be put in only box (or) box 2 (or) box 3.

Ball 3 can be put in any of 6 boxes.

Ball 4 can be put in any of 6 boxes.

⋮

Ball 9 can be put in any of 6 boxes.

Total number of ways = 6 × 3 × 6 × 6 × 6 × 6 × 6 × 6 × 6 = 3 × 6*8

Solution

Let the speed of the stream be x km/hr.

Downward stream = (15 + x)

Upward stream = (15 - x)

Suppose the distance travelled by y, then

Solution

Solution

(a)To rise from a lower level (or) station; advance

(b)To go (or) move upward; rise

Of all the given options, descend means ‘move or fall downwards’ which is opposite in meaning to ascend.

Solution

In the given sentence, since we are comparing between being clever and being cautious, we should use the comparative form of the adjective good, i.e., better.

Solution

Tractable refers to

(a) A person who is easy to control, influence or manage

(b) (of a situation or problem) easy to deal with

So, of all the given options, the word that is nearest in meaning to tractable is “Manageable”.

Solution

Action I - This would trigger a bigger problem as it is a sensitive issue and is not practically possible to restrict the number of pilgrims

Action II – Deploying an adequate number of security personnel would help to maintain the law and order and also to manage the rush of the pilgrims.

So, only action II follows the given statement.

Solution

Relationship between the given pair: ANTONYM VARIANT

Rejuvenating is to make (someone or something) look or feel better, younger, or more vital, i.e., to kick-start or revive. Thus, exhausting is the opposite of rejuvenating.

Option (a):

Vexing is to irritate, bother or frustrate. So, vexing and irritating are synonyms to each other.

Option (b):

Contaminate is to make (something) impure by exposure to or addition of poisonous or polluting substance, i.e., to pollute.

Option (c):

Cruel is to willfully causing pain or suffering to others, or feeling no concern about it, i.e., being brutal or ruthless.

Option (d):

Disturbing refers to trouble emotionally (or) mentally; upset or worrying and soothing refers to reducing pain or discomfort, having a gently calming effect. Thus, soothing is an antonym for disturbing.

Therefore, from the given explanation, the relationship that best expresses a relationship similar to Exhausting: Rejuvenating is Disturbing: Soothing.