CAT Questions

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There are about 1,000,000 nephrons in each human kidney.

Nephron, functional unit of the kidney, the structure that actually produces urine in the process of removing waste and excess substances from the blood.

Total number of balls = 2 + 3 + 4 = 9

Total number of ways 3 balls can be drawn from 9 = 9C3

No green ball is drawn = 9 - 3 = 6 = 6C3

Required number of ways if atleast one green ball is to be included = Total number of ways - No green ball is drawn

= 9C3 - 6C3

= 9x8x7/3x2  -  6x5x4/3x2

= 84 - 20

= 64 ways.

Let the integer be x. Then,

 x2-20x = 156

(x + 6)(x - 26) = 0

x = 26

The integer is 26.

Ichthyology is the branch of biology devoted to the study of fish.

It is also known as Fish science which includes bony fishes (Osteichthyes), cartilaginous fish (Chondrichthyes), and jawless fish (Agnatha).

Passive Voice : Has the work been completed by him?

Rules in changing from Active voice to Passive voice :

1. Identify the subject, the verb and the object: S+V+O

2. Change the object into subject

3. Put the suitable helping verb or auxiliary verb

4. Change the verb into past participle of the verb

5. Add the preposition "by"

6. Change the subject into object.

Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)

and 121 is not divisible by 2

The answer is 462.

K's 1 day's salary = 1/10
L's 1 day's salary = 1/15
Together their 1 day's salary = 1/10 + 1/15
= 3/30 + 2/30
= 5/30
= 1/6
So the money will be enough for paying them both for 6 days.