Solution

Son’s present age = x say

Then (32-x) = x

32 = 2x

x = 16

⇒ Four years back son’s is = 16 - 4 = 12 years

Solution

Two years ago ratio of Ravi and Naveen age = 5:6

Two years ago Ravi’s age = 5x

Two years ago Naveen’s age = 6x

At present Ravi’s age = 5x + 2 and Naveen’s age = 6x + 2

After three years Ravi’s age = (5x + 2) + 3 = 5x + 5

After three years Naveen’s age = (6x + 2) + 3 = 6x + 5

After three years ratio of Ravi and Naveen age = 6:7

5x+5/6x+5 = 6/7

x = 5

Ravi’s present age = 5x + 2 = 5(5) + 2 = 27 years

Solution

Solution

Average after the 15th innings = x say

Average after the 14th innings = (x-2)

⇒ 14(x - 2) + 68 = 15x

14x - 28 + 68 = 15x

x = 40

Solution

Third number = x say

Then first number = 80% of x = 80x/100 = (⅘)x

second number = 60% of x = 60x/100 = (⅗)x

Ratio of first and second numbers = (⅘)x : (⅗)x = 4 : 3

Solution

Let the fourth proportional to 5, 10, 15 be x (say)

Then, 5 : 10 :: 15 : x

⇒ 5x = (10 × 15)

⇒ 5x = 150

⇒ x = 30

Solution

Let cost of cycle = x say

Cost of bag = (3400 - x)

After selling the bag he gains 15% and on bag a loss of 8%. But on the whole he gains 3%.

(15% of x) - (8% of (3400-x)) = (3% of 3400)

(15/100 × x) - (8/100 × (3400-x)) = (3/100 × 3400)

∴ x = 1626.08

⇒ Cost of the cycle = 1626.08

Solution

Let market price = Rs 100 (say)

Then selling price = 90%, 80% and 70% of Rs 100

Selling price = 90/100 × 80/100 × 70/100 × 100 = 50.4

Discount = Market price - Selling price

= 100 - 50.4

= 49.6%

Solution

Principle = P (say)

Simple Interest S.I. = P

Time = 6 years

S.I. = PTR/100

P = P×6×R/100

R = 100/6 = 16.66%

Solution

Solution

The given sentence is an exclamatory sentence and in exclamatory sentences beginning with “here”, to express what is actually taking place in the present, we use simple present tense.

Here comes the bus!

Solution

So, of all the given options, the word that is closest in meaning to the word controvert is contradict(denying something).

Solution

Option (a):Can

Can is usually used to express an ability (or) capacity.

Option (b):Should

Should is used to express duty (or) obligation.

Option (c):Could

Could is the post equivalent of can and is used to talk about ability and to indicate possibility.

Option (d):Shall

Shall is used to express pure future and to talk about future plans/state.

From the given explanation, the word that is more suitable in the above context is Shall.

Solution

• The word advice is used for guidance (or) recommendations offered with regard to an action. So, in the first sentence, the word need is referring to some guidance and thus, advice is used.
• Coming to the second sentence, it is referring to the best suggestions on the particular issue, i.e., advise (offer suggestions about the best course of action to someone).

Solution

Relationship between the given pair:

Expel is officially make (someone) leave a school or other organization, i.e., college in the given question. And a person expelled from college cannot reenter it.

Option (a):

Ample refers to a large, great size or fully sufficient to meet a need or purpose. Thus, Insufficient is an antonym for Ample

Option (b):

Exile refers to the condition or period of being forced to live away from one’s native country or home, especially as a punishment and a person exiled (banished legally) from a nation (Country) cannot reenter it.

Option (c):

A carnival is a festival or a travelling amusement show usually including rides, games.

Option (d):

Deny is to decline to grant or allow, refuse. So grant is an antonym for deny.

From the given explanation, the pair that is best expressing a relationship similar to that expressed in the pair Expel: college is Exile: Nation.