Bank Clerk Questions

To know the the measuring cylinder that can fill all the given capacities , they must be divisible by the required number.

98,182,266 all are divisible by 14
So  14 litres  is the largest cylinder that can fill all the given cylinders.

                                       (or)

The other method is take HCF of all given capacities i.e 98, 182 and 266.

$$\begin{gathered} 3 \\ 32 + 3 = 12 \\ 5 \\ 52 + 5 = 30 \end{gathered}$$

Lakshadweep has an area of only about 32 sq km.

The area of Pondicherry, Daman and Diu and Dadar and Nagar Haveli are about 492 sq km and 491 sq km respectively.

The pattern is 12 22, 32 42, 52 62, 

∴The next number= 72 82= 4964

The Gulf of Mexico is the largest among all the gulfs in the world.

A gulf is nothing but a large inlet from the ocean into the landmass, typically with a narrower opening than a bay.

The Gulf of Mexico is an ocean basin mostly surrounded by the North American continent. It is a unique, semi-enclosed sea located between the Yucatan and Florida peninsulas, at the southeast shores of the United States.

Given the three mixtures ratio as (1:2),(2:3),(3:4)

(1+2),(2+3),(3+4)

Total content = 3,5,7

Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105

105/3 = 35 , 105/5 = 21 , 105/7 = 15

Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)

 i.e (35,70), (42,63), (45,60)

So overall mixture ratio of milk and water is

35+42+45 : 70+63+60

122:193

But in the question asked the ratio of water to milk = 193 : 122

1/k - 1/20 = -1/24

k = 120

120 x 4 = 480

Therefore, the capacity of the cistern is 480 liters.

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)² - (2x + 1)²

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8