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UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - UPSC MCQ


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30 Questions MCQ Test - UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021)

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UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 1

The average age of the mother and her 6 children is 12 years which is reduced by 5 years if the mother is excluded. How old is the mother?

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 1

Age of the mother = (12 * 7 - 7 * 6) years = 42 years.

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 2

If (2x+3) and (x-1) are two factors of (2x2 + x)2 - 4(2x2 + x) + 3, then the remaining two factors are

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 2
(2x2 + x)2 - 4(2x2 + x) + 3
= 4x4 + x2 + 4x3 - 8x2 - 4x + 3
= 4x4 + 4x3 - 7x2 - 4x + 3
= 4x3 (x - 1) + 8x2 (x - 1) + x (x - 1) - 3 (x - 1)
= (x - 1) (4x3 + 8x2 + x - 3)
= (x - 1) [2x2 (2x + 3) + x(2x + 3) - 1(2x + 3)]
= (x - 1) (2x + 3) (2x2 + x - 1)
= (x - 1) (2x + 3) [2x2 + 2x - x - 1]
= (x - 1) (2x + 3) [(2x (x + 1)) - 1(x + 1)]
= (x - 1) (2x + 3) (x + 1) (2x - 1)
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UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 3

Which of the following expressions cannot be equal to zero, when x2 - 2x = 3?

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 3
x2 - 2x - 3 = (x - 3) (x + 1)
(A) ⇒ x2 - 7x + 6 = (x - 6) (x - 1)
(B) ⇒ x2 - 9 = (x + 3) (x - 3)
(C) ⇒ x2 - 4x + 3 = (x - 3) (x - 1)
(D) ⇒ x2 - 6x + 9 = (x - 3)2
UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 4

The area of the four walls of a room is 660 m2 and its length is twice its breadth. If the height of the room is 11 m, then area of its floor (in m2) is

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 4

2 (LH + BH)   = 660.
∴ (L + B = 30)    (∴ H = 11 m).
If L = 2 B , then 2 B + B = 30 ⇒ B = 10 and L = 20.
∴ Area = 200 m 2.

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 5
The average of two numbers is M. Out of the two ,one number is N. Then the other number is
UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 6

The mean of 30 values of numbers is 150. On scrutiny,it was found that while calculating Arithmetic Mean,one wrote 135 instead of 165. The correct Arithmetic Mean is

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 6

The correct answer is C as average height=m=150cm
no of students =n=30

new mean =(m*n+165-135)/n
=(150*30+165-135)/30
=(4500+30)/30
=4530/30
=453/3
=151
therefore
correct mean =151cm
 

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 7
A is B's brother, C is D's father, E is B's mother. A and D are brothers. How is E related to C?
UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 8

M is brother of K. T is sister of K. R is father of M. J is wife of R. How many sons does J have?

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 8


We cannot determine how many sons does J have as K's gender is not known

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 9

Read the following information relating to a family.
There are six persons A, B, C, D, E and F. C is the sister of F. B is the brother of E's husband. D is the father of A and grandfather of F. There are two fathers, three brother and a mother in the group.
Which of the following is a group of brothers ?

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 9

D is father of A and grandfather of F.
So, A is father of F. Thus, D and A are the two fathers. C is the sister of F.
So, C is the daughter of A. Since there is only one mother, it is evident that E is the wife of A and hence the mother of C and C and F.
So, B is brother of A. There are three brothers.
So, F is the brother of C.
B and A are brothers. F is the brother of C.
So, three brothers are A, B, F.

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 10

B is only child of C's grandfather's only daughter. How is C's father related to B?

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 10

C's grandfather's only daughter is mother of B
C is cousin of B
Therefore, C's father is maternal uncle of B

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 11

A woman introduces a man as the son of the brother of her mother. How is the man related to her ?

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 12

The number of times the minutes hand coincides with the hour hand in a day is

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 12

This happens 22 times

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 13

Ramesh started from a point A towards south and travelled 5 km, then he turned right and travelled 2 km, then he turned right and travelled 5 km, then he turned left and travelled 5 km. How far was he from point A?

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 13

A is the correct option. To understand the given instructions, first, we need to draw the diagram of directions.
RAMESH started from a point A towards South and travelled 5km
he turned right and travelled 2km
then he turned right and travelled 5 km
and then he turned left and travelled 5km.
From the diagram it's clear that 5 km + 2 km = 7 km.

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 14

Find the number of parallelogram in the given figure.

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 14

B is the correct option.The figure may be labelled as shown.

 

The parallelograms composed of two components each are ADME, DFNM, EMOG, FHJN, MNKO, GOLI, HBJN, NJKO, OKLI, FHNM, MNOG, DFME, HJKN, NKLO, OLCI, FNOM, MOIG and DMGE. i.e. 18 in number.

The parallelograms composed of four components each are HOKB, NILJ, FGOH, HOLJ, NICK, FGIN, FMJB, DENH, MGKJ, MGCL, DEIO, FMLK, AENF, AGOD, DMJH, DOKF, EILM and EGKN i.e. 18 in number.

The parallelograms composed of six components each are AEJH, DAIL, DECL, DEJB, HILB and HICJ i.e. 6 in number.

The parallelograms composed of eight components each are FGKB, FGCK and AGKF i.e. 3 in number.

Total number of parallelograms in the figure = 18 + 18 + 6 + 3 = 45.
 

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 15

If ‘south-east’ is called ‘east’,’north-west’ is called ‘west’, ‘south-west’ is called ‘south’ and so on, what will ‘north’ be called?

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 15

south-east is called east means that the direction is turning anti-clockwise through 45°.So,north will become north-west.

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 16

The list price of a pen is Rs 160. A man pays Rs 122.40 for it after receiving successive discount of 10% and x% Then x is equal to

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 16

The correct option is D.
The list price of parker pen is Rs.160
⇒  Selling price of parker pen is Rs.122.40
⇒  Total discount = Rs.160−Rs.122.40=Rs.37.60
⇒  Fist discount is 10% on list price 
∴    Fist discount  = 10/100 ×160=Rs.16
⇒   Second discount = Rs.37.60−Rs.16=Rs.21.60
⇒  Pen price after 1st discount = Rs.160−Rs.16=Rs.144
⇒   Second discount % = 21.60/144 ×100=15%
 

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 17

If A is to the South of B and C is to the East of B, in what direction is A with respect to C?

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 17


Comparing the direction of A w.r.t. C in the second diagram with that in the first diagram, A will be south-west of C.

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 18

A vertical tree stands at a point A on a bank of canal. The angle of elevation of its top from a point B on the other bank at the canal and directly opposite to A is 60°. The angle of elevation of the top from an other point C is 30°. If A, B and C are on the same horizontal plane, ∠ABC = 120° and BC = 20m, the height of the tree is

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 18

A is the correct option.

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 19

If E is coded as V, D is coded as Q, N is coded as Z, G coded as T, R is coded as I and A is coded as M, which of the following will be the correct form of the word DANGER ?

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 20

Journalist: The advice of social scientists is frequently overlooked by politicians making social policy. Because it is not unreasonable to discount scientific assertions backed by weak evidence, politicians should not generally be criticized for ignoring social science, for social scientists, unlike physical scientists, seldom agree on the claims made even within their own specialty.
Which one of the following is an assumption required by the journalist’s argument?

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 21

The total amount of fat that the average North American consumes each year has held steady since 1950, but nowadays North Americans consume less animal fat than in 1950, and more vegetable fat containing high levels of saturated fat. Both saturated and unsaturated fats are necessary to the human diet, since they are the only source of essential fatty acids (EFAs); however, most vegetable fats now consumed, unlike animal fats, do not contain EFAs. Because of this dietary shift from animal fat to vegetable fat, cardiovascular disease, neurological dysfunctions, and skin disorders are on the rise.
Which one of the following is most strongly supported by the information above?

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 22

Jamal: It’s incorrect to maintain that current data suggest a weakness in the economy. Stocks are paying higher dividends than ever and corporations’ profits are very high. Yet you criticize corporations on the basis of wage data, which are the only data showing a decline.
Jennifer: You’re right that only wage data show a decline, but those data are important because they show a shift of income from companies’ workers to their shareholders. The statistics you cite mean little to the expanding numbers of workers finding it increasingly difficult to make a living.
Jamal’s and Jennifer’s statements provide the most support for holding that they agree about the truth of which one of the following?

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 23

Once children begin to read they acquire new vocabulary most naturally as the indirect result of reading difficult, challenging material. The major alternative—direct studying of new vocabulary items—is less natural; most people are not so inclined. From age six to age thirteen, children learn thousands of new words a year, mostly through reading; direct studying accounts for less than one-tenth of all new words learned. So it is bound to be inefficient for young students to learn new vocabulary by direct studying.
Which one of the following, if true, most seriously weakens the argument?

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 24

Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 24

Quantity of milk = (80 x 3/5) = 48 liters
Quantity of water in it = 80 - 48 = 32 liters
New ratio = 2 : 3
Let quantity of water to be added further be x litres

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 25

The sum (101+102+103+....+200)is equal to

Detailed Solution for UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 25

Sum of n terms = n/2 (a + l)
n = no of term
a = first no
l = last no
101 + 102 + 103 + ..... + 200 = 100/2 (101 + 200)
= 50 (301) = 15050

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 26
How many of the following numbers are divisible by 132? 264,396,462,792,968,2178,5184,6336
UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 27
How many terms of the series 8+10+12+.....must be taken to make 228?
UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 28
A number when divided by 296 gives a remainder 75.When the same number is divided by 37, then the remainder will be
UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 29

A candidate secured 30% marks in an examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the bare minimum to pass.The maximum marks is

UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 25 (June 13, 2021) - Question 30

Shatabadi Express has a capacity of 500 seats of which 10% are in the Executive Class and the rest being Chair Cars. During one journey, the train was booked to 85% of its capacity. If Executive Class was booked to 96% of its capacity, then how many Chair Car seats were empty during that journey?

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