UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 24 (June 11, 2021) - UPSC MCQ

Let the present age of the son be x years, then x = 38 - x
⇒ x = 19 years
∴ Five years back, son's age = x - 5
= 19 - 5 = 14 years

2x² - 11x + 15 = 0
or 2x² - 6x - 5x + 15 = 0
or 2x(x - 3) - 5 (x - 3) = 0
or (x - 3) (2x - 5) = 0
or x - 3 = 0
or 2x - 5 = 0
or x = 3, x = 5/2

The given system of equation is


Thus, the solution of system of equation is x = 3.2 and y = 2.3

By using Pythagoras theorem,
Hypotenuse = Base + Height
PR² = SR² + PS²
(11)² = SR² + (10)²
SR² = 121 - 100
SR² = 21
Therefore, SR = 4.58
Now, QS = SR
QR = QS + SR
QR = 2 × 4.58
QR = 9.16 ≈ 9 cm
 

A is father of C and C is sister of D.
So, A is father of D. But D is son of B.
So, B is the mother of D and wife of A. Also, E is the brother of A.
So, B is the sister-in-law of E.

Sum of the remaining two numbers = (3.95 x 6) - [(3.4 x 2) + (3.85 x 2)]
= 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20
Required average = (9.2/2) = 4.6

If Asha → A
Babli → B
Cham → C
Deepti → D
Eira → E
Farha → F
then,

Hour hand is behind the minute hand
Angle between hands

The figure describes the following : 

So, Soni is 6 km from the starting point

The figure may be labelled as shown.

The regions A, C, E and G can have the same colour say colour 1.

The regions B, D, F and H can have the same colour (but different from colour 1) say colour 2.

The region 1 lies adjacent to each one of the regions A, B, C, D, E, F, G and H and therefore it should have a different colour say colour 3.

The regions J, L and N can have the same colour (different from colour 3) say colour 1.

The regions K, M and O can have the same colour (different from the colours 1 and 3). Thus, these regions will have colour 2.

The region P cannot have any of the colours 1 and 2 as it lies adjacent to each one of the regions J, K, L, M, N and O and so it will have colour 3.

The region Q can have any of the colours 1 or 2.

Minimum number of colours required is 3.

Let the angle r In triangle ABC

tan 45°= height/base = height of person/x

1= height of person/x

= height of person =AB =x

Length increses by (√3 - 1)x

So length of BD =x+ (√3-1)x=x+ √3x - x= √3x
Now in triangle ABD height AB

tanr = height/base = AB/BD = x/√3x = 1/√3

> tan r = tan 30°
Hence r°= 30° (Answer)

The correct option is A.
The movement of buses A & B are shown.
The distance between the two buses at this point.
= 150 - (The distance travel by both the buses)
= 150 - (25 + 25 + 35) = 150 - 85 =65 kms.

A man starts from X, walks 3 km south and reaches Y. At Y, he turns left, walks 6 km and reaches Z. It is clear from the figure that at Z the man is towards the south-east with respect to his starting position X

Infers that philosopher Marx is German and is not idealist. Else, all Germans are idealist. So all German Pilots, except Marx, are idealist. All German cooks, except Marx, are idealist. Since, per choice E, with exception of Marx, all Germans are idealist. Therefore, correct to infer the above statement that all German philosophers are idealist. Aside from the philosopher Marx, if someone is a German, then he or she is an idealist.

(A) To say "the crux of creativity resides in ability to manufacture variations on a theme" means that "the ability to manufacture variations" is the defining feature of creativity. By that rule, (A) must be true. The MORE you’re able to manufacture variations, the MORE creative you are; the LESS you’re able, the LESS creative you are.

(B) The second sentence proves this answer choice. "EVERY idea in the history of science is built upon a thousand related ideas". We could rephrase that as (B) does, saying NO idea is entirely independent of all other ideas.

(C) This is weakly worded, very easy to support. The last sentence says that "Careful analysis" leads us to understand that new ideas are always variations on a theme. In order for careful analysis to tell us this, it must be true that we discovered the previous theme for any new idea (how else would we have established that the new idea was a variation on a previous theme?).

(D) The last sentence tells us that "new discoveries" are "always and without exception" some sort of variation. Therefore every discoverer (one who makes a discovery) must have manufactured a variation on a theme. Critically, this answer choice doesn’t accuse the discoverer of KNOWING that he/she manufactured a variation. That would go beyond what we can prove.

(E) Correct answer
This contradicts the last sentence, which says that EVERY SINGLE discovery ALWAYS AND WITHOUT EXCEPTION is a variation on a deep level of previous themes.
 

5% in 2 litres of milk is 0.1
0.1 / (2+x) = 4%
4x + 8 = 10
x = 0.5
So, the answer is 0.5.