GENERAL APTITUDE - Online Test

Q1.
Direction: Study the following information carefully and answer the questions that follow:

A committee of five members is to be formed out of 3 trainees, 4 professors and 6 engineers.
In how many ways this can be done if 2 trainees and 3 engineer to have to be included in a committee
Answer : Option B
Explaination / Solution:

If 2 trainees and 3 engineers include in committee 
3C2*6C3 = 3*20 --> 60

Q2. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Answer : Option D
Explaination / Solution:

We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).

 Required number of ways= (7C3 x 6C2) + (7C4 x 6C1) + (7C5)
=7 x 6 x 5x6 x 5+ (7C3 x 6C1) + (7C2)
3 x 2 x 12 x 1
= 525 +7 x 6 x 5x 6+7 x 6
3 x 2 x 12 x 1
= (525 + 210 + 21)
= 756.


Q3. How many total number of triangles are there in the problem figure given below:

Answer : Option C
Explaination / Solution:
No Explaination.


Q4.
If  then
Answer : Option D
Explaination / Solution:



Q5. Direction: What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?
(40.0002)2 × 12.85
Answer : Option D
Explaination / Solution:

(40.0002)2 × 12.85
(40)2 × 13
1600 × 13
20,800


Q6. Which among the following was described by Dr. B. R. Ambedkar as the "heart and soul of the Constitution of India"?
Answer : Option A
Explaination / Solution:
No Explaination.


Q7. Direction: What will come in place of the question mark (?) in the following number series?
9, 13, 4, 20, ?, 31
Answer : Option B
Explaination / Solution:




Q8. How many 3 digit numbers are divisible by 6 in all ?
Answer : Option B
Explaination / Solution:

Required numbers are 102, 108, 114, ... , 996

This is an A.P. in which a = 102, d = 6 and l = 996

Let the number of terms be n. Then,

a + (n - 1)d = 996

   102 + (n - 1) x 6 = 996

   6 x (n - 1) = 894

   (n - 1) = 149

   n = 150.


Q9. Direction: In the following number series only one number is wrong. Find out the wrong number.
0, 7, 28, 63, 124, 215
Answer : Option D
Explaination / Solution:

The pattern is = 13 - 1, 23 - 1, 33 - 1, 43 - 1, 53 - 1, 63 - 1 
So the wrong term 28 is replace by = 33 - 1 = 27

Q10. A right triangle is also equilateral
Answer : Option C
Explaination / Solution:
No Explaination.