Explanation

NOTE: The answer to the analogy 12 : 68 :: 30 : ? can be 170, 176, or 222, depending on the specific logic or exam pattern being followed:

Method 1: Direct Proportion (Most Common in Standard Competitive Exams)

If treated as a direct mathematical ratio/proportion question:

Rule: Product of Extremes = Product of Means

Calculation:

12 x x = 68 x 30

12x =2040

x =  2040/12

x = 170

Explanation

Cube root means the number which, when multiplied 3 times by itself, gives the original number.

216=6×6×6= 6^3

3√216 = 6  

Last updated 15-03-2026

Explanation

1 liter = ? cubic centimeters

Formula used: 1 liter = 1000 cubic centimeters

Calculation: 1 liter = 1000 cm3 ∴ 1 liter is equal to 1000 cubi.

Explanation

Explanation

We are given:

$$11a=1331

Now,
$1331 = 11 times 11 times 11$
$1331 = 11^3$

So,

$11^a = 11^3$

Therefore,

a = 3

Last updated 18-02-2026

Explanation

80000 cm³ = 80 liters

(1 liter = 1000 cm³)

Explanation

Let's say B's income is 100%.

Then, A's income is 60% (since it's 40% less than B's).

To find out how much percent B's income is more than A's income, we need to find the difference between their incomes and divide it by A's income, then multiply by 100:

((B's income - A's income) / A's income) * 100

= ((100 - 60) / 60) * 100

= (40 / 60) * 100

= 66.66%

So, B's income is 66.66% more than A's income.

Last verified on 04-02-2026

Explanation

B's 1 day work = 1/20

C's 1 day work = 1/30

(B+C)'s 1 day work = 1/20 + 1/30 = 1/12

(B+C)'s 2 days work = 2 × 1/12 = 1/6

Remaining work = 1 - 1/6 = 5/6

A's 1 day work = 1/18

Time taken by A to complete 5/6 work:

= (5/6) / (1/18)

= 5/6 × 18

= 15 days

Last verified on 04-02-2026

Explanation

Total work = 10 × 14 = 140 person-days

Days needed by 4 persons = 140 ÷ 4 = 35 days.

Last verified on 01-02-2026

Explanation

Speed = Distance ÷ Time

Truck speed = 47 ÷ 10 = 4.7 km/h

Car speed = 47 ÷ 8 = 5.875 km/h

Ratio of car to truck = 5.875 : 4.7 = 5:4

Last verified on 29-01-2026