Quantitative Ability (S.A.) Test - 4

The pattern is as follows

6 = 2 × 3

15 = 3 × 5

35 = 5 × 7

77 = 7 × 11

143 = 11 × 13

i.e., the product of two consecutive numbers.

So that, the next term will be:-

13 × 17 = 221

Hence, the correct option is (C).

Given

Average age 10 years ago of five-member = 25 years

The present average age of 7 members = 27 years

Elder child = 4 years + younger child

We know that,

Sum of the age of the 5 members 10 years ago = 25 × 5 = 125 years

The present age of the 5 members = 125 + 5 × 10 = 175 years

The sum of the present age of 7 members = 7 × 27 = 189 years

The sum of the age of the two children is = 189 − 175 = 14 years

Let the age of the younger child be x years.

According to the question,

Elder + younger =14

x + 4 + x = 14

⇒ x = 5 years

Age of elder child = 5 + 4 = 9 years

∴ The age of the elder child is 9 years.

Hence, the correct option is (C).

Using Pythagorean theorem: -

AB² + BC² = AC²

6² + 8² = AC²

AC = 10

The midpoint of the hypotenuse is the circumcentre of the triangle which is equidistant from all three vertices.

Therefore, BD = AC/2 = 5 cm

Hence, the correct option is (B).

The total of the first 60 results = 60 × 40 = 2400

The total of the last 40 results = 40 × 60 = 2400

The total of 100 results = 4800

Now average = 4800/100 = 48.

Mahesh wants to complete his house in 20 days.

Let Mahesh remove ′M′ men.

So he needs '32-M' men to complete the remaining work.

Take work done = 1

M1 = 32; D1 = 12; W1 = 80% of the house = 80% of 1 = 0.8

M2 = 32 −M; D2 = 8; W2 = Remaining 20% = 0.2

M₁D₁ T₁ W₂ = M₂D₂ T₂W₁

∴ 32 × 12 × 0.2 = (32 − M) × 8 × 0.8

∴ M = 20men

Mahesh needs to have (32 − 20 =)12 men working to complete the remaining work of house in decided target of 20 days.

Hence, the correct option is (A).

We are told that z is an odd integer.

(1) x and y are prime numbers, whose sum is a factor of 57. The factors of 57 are 1, 3, 19 and 57. Since we are told that x and y are prime numbers then x can only be 2 and y can only be 17 (x+y=19). If x=2(even) it cannot be a factor of the odd integer z. Therefore the first statement is sufficient to answer the question.

(2) z is a factor of 57. This statement is insufficient as we do not have any information about x.

Only the first statement is sufficient to answer the question.

Hence, the correct option is (A).

Applying successive percentage increase formula, we have

Hence. the area decreases by 4%.

Let’s solve the question with the help of options

Option A: 78 - 3 + 4 × 36 = 219 (Not possible)

Option B: 78 ÷ 3 × 4 - 36 = 68 (Not possible)

Option C: 78 ÷ 3 × 4 + 36 = 140 (True)

Hence, the correct option is (C).

Amit: Arjun

5 : 7

Let Amit age is 5x and Arjun age is 7x

Difference between their ages is 7x − 5x = 2x

⇒ 2x = 6

⇒ x = 3

Amit age is 5 × 3 = 15 years

Hence, the correct option is (C).