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CRPF Head Constable Mock Test - 3 - CDS MCQ


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30 Questions MCQ Test - CRPF Head Constable Mock Test - 3

CRPF Head Constable Mock Test - 3 for CDS 2024 is part of CDS preparation. The CRPF Head Constable Mock Test - 3 questions and answers have been prepared according to the CDS exam syllabus.The CRPF Head Constable Mock Test - 3 MCQs are made for CDS 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for CRPF Head Constable Mock Test - 3 below.
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CRPF Head Constable Mock Test - 3 - Question 1

Direction: In the following question below some statements are given followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
Some books are novels.
No novel is a diary.
Conclusions:
I. No book is a diary.
II. All diaries are books.
III. No diary is a novel.

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 1

The least possible Venn diagram for the given statements is as follows,

Conclusions:
I. No book is a diary → False (It is possible but not definite, as there is no direct relation between book and diary Therefore it is possible but not definite).
II. All diaries are books → False (It is possible but not definite,as there is no direct relation between book and diary Therefore it is possible but not definite)
III. No diary is a novel → True (No novel is a diary, imply that no diary is a novel)
Therefore, the correct answer is only conclusion III follows.

CRPF Head Constable Mock Test - 3 - Question 2

How many rectangles are there in the following picture?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 2

We can count the rectangles as follows,

Therefore, there are “24” rectangles in the given figure.

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CRPF Head Constable Mock Test - 3 - Question 3

Direction: Identify the diagram that best represents the relationship among classes given below.
Examination, School, College

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 3

 


Hence, the correct option is (D).

CRPF Head Constable Mock Test - 3 - Question 4

Direction: Choose the option that will come into the place of the question mark (?).

Q. 729 : 324 : : 512 : ?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 4

The pattern that is being followed here is as follows,
729 → 7 + 2 + 9 = 182 = 324
Similarly, 512 can be written as,
512 → 5 + 1 + 2 = 82 = 64

CRPF Head Constable Mock Test - 3 - Question 5

Direction: In the following question, select the related letters from the given alternatives.

Q. LMOI : OHRD : : EUTX : ?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 5

As

Similarly,

Thus, EUTX is related to HPWS.

CRPF Head Constable Mock Test - 3 - Question 6

Direction: Study the following information to answer the given Questions:
Seven boxes of deodorant of different brands – AXE, Degree, Envy, Fogg, Nivea, Old spice and Park Avenue are kept one above the other, not necessarily in the same order.
The number of boxes above the box of Fogg is equal to number of boxes below the box of Envy. There is only one box above box of Degree. The box of Park Avenue is the bottom most box. The box of AXE is above box of Old spice, which is above box of Envy.

Q. How many boxes are above box of Envy?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 6

Brands of Deodorant - AXE, Degree, Envy, Fogg, Nivea, Old spice and Park Avenue.
1) There is only one box above box of Degree.
2) The box of Park Avenue is the bottom most box.
3) The number of boxes above the box of Fogg is equal to number of boxes below the box of Envy.

4) The box of AXE is above box of Old spice, which is above box of Envy. So, Fogg and Envy must be in box 3 and box 5 respectively. AXE and Old spice must be in box 1 and box 4 respectively. Also, Nivea must be in box 6.

Four boxes are above box of Envy.

CRPF Head Constable Mock Test - 3 - Question 7

Direction: Study the following information to answer the given Questions:
Seven boxes of deodorant of different brands – AXE, Degree, Envy, Fogg, Nivea, Old spice and Park Avenue are kept one above the other, not necessarily in the same order.
The number of boxes above the box of Fogg is equal to number of boxes below the box of Envy. There is only one box above box of Degree. The box of Park Avenue is the bottom most box. The box of AXE is above box of Old spice, which is above box of Envy.

Q. Which deodorant is in topmost box?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 7

Brands of Deodorant - AXE, Degree, Envy, Fogg, Nivea, Old spice and Park Avenue.
1) There is only one box above box of Degree.
2) The box of Park Avenue is the bottom most box.
3) The number of boxes above the box of Fogg is equal to number of boxes below the box of Envy.

4) The box of AXE is above box of Old spice, which is above box of Envy. So, Fogg and Envy must be in box 3 and box 5 respectively. AXE and Old spice must be in box 1 and box 4 respectively. Also, Nivea must be in box 6.

AXE is in topmost box.

CRPF Head Constable Mock Test - 3 - Question 8

A woman walked 15 km towards East, took a right turn and walked 2 km, took another right turn and walked 9 km. She then walked 7 km towards North and turned right and walked 17 km. She then finally took a right turn and walked 5 km. How far is she from the starting point?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 8

The travel path of the woman is as follows:

Required distance from starting point = AB + BC = 15 + 8
= 23 km

CRPF Head Constable Mock Test - 3 - Question 9

19 persons are standing in a queue.
i. Manish is 7th from the back.
ii. Rinku is exactly in the middle of Manish and Seema.
iii. Seema and Rinku have three persons between them.
What is the position of Seema from the front?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 9

i.  Manish is 7th from the back.
ii. Rinku is exactly in the middle of Manish and Seema.
iii. Seema and Rinku have three persons between them.
From the above statements the final standing positions of given persons are:

Here, the position of Seema from the front is 5th.

CRPF Head Constable Mock Test - 3 - Question 10

Direction: Study the following information carefully and answer the question given below.
H, I, J, K, L, M, N, O, P are the nine members of a family. P is the only brother of J, who is the only daughter of K. I is the mother of L, who is the niece of J. M is the maternal grand-mother of O, who is the only son of N. H is the father-in-law of the mother of O.

Q. How is M related to P?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 10

Best possible figure according to the given information:


Clearly, M is the mother of P.

CRPF Head Constable Mock Test - 3 - Question 11

Which letter will replace the question mark (?) in the following series?

W, V, S, N, ?, X, M

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 11

We know,

Given,
W, V, S, N, ?, X, M
The pattern followed here is,

Therefore, the correct answer is G.

CRPF Head Constable Mock Test - 3 - Question 12

Direction: In the questions given below, which one of the given responses would be a meaningful order of the following?

  1. Leaf
  2. Fruit
  3. Stem
  4. Roots
  5. Flower
Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 12

From root, stem will emerge.
From primary stem, leaf will emerge.
From leaf, flower will emerge.
From flower, fruit will emerge.
Hence, the correct arrangement is Root, Stem, Leaf, Flower, and Fruit.
Thus, 4, 3, 1, 5, 2 is the correct arrangement.

CRPF Head Constable Mock Test - 3 - Question 13

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

O, P, R, U, Y, ?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 13

The pattern followed here is,
O + 1 = P
P + 2 = R
R + 3 = U
U + 4 = Y
Y + 5 = D

CRPF Head Constable Mock Test - 3 - Question 14

Select the option that is related to the third term in the same way as the second term is related to the first term.

TONGUE : PUHOFV :: MASTER : ?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 14


The logic followed here is :-
TONGUE : PUHOFV

Similarly,
MASTER : ?

Hence, the correct answer is "BNUTSF".

CRPF Head Constable Mock Test - 3 - Question 15

In a certain code language, CHOIR is written as XSMGI, and DROPS is written as WIMKH. What does the code HOLDER mean?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 15

The logic followed here is:
Vowels –  Positional value - 2
Consonants – Reverse letter in the alphabet

CHOIR is written as XSMGI,

DROPS is written as WIMKH,

Similarly,

Hence,  HOLDER is coded as SMOWCI.

CRPF Head Constable Mock Test - 3 - Question 16

Select the correct mirror image of the given combination when the mirror is placed at XY as shown.

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 16

The correct mirror image of the given figure when the mirror is placed at XY:

Hence, "option 1" is the correct answer.

CRPF Head Constable Mock Test - 3 - Question 17

Six students A, B, C, D, E and F are sitting around a circular table facing the centre. B is an immediate neighbour of both F and E. C is sitting second to the left of B. A is sitting immediate left of C. F is sitting second to the left of A. Who is the immediate neighbour of A and F?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 17

Six Students: A, B, C, D, E and F.
1) C is sitting second to the left of B. 

2) A is sitting immediate left of C. 

3) F is sitting second to the left of A.

4) B is an immediate neighbour of both F and E.

So, the final arrangement is;

Therefore, D is the immediate neighbour of A and F 
Hence, the correct answer is "D".

CRPF Head Constable Mock Test - 3 - Question 18

Which of the following numbers will replace the question mark (?) and complete the given number series?

375, 280, 233, 210, 199, ? 

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 18

The pattern followed in the given series is:
The difference of the difference between the term is ÷2 of the previous difference.

Hence, the correct answer is "option (1)".

CRPF Head Constable Mock Test - 3 - Question 19

L is 20 km south of B. J is 28 km south of T. A is 10 km west of B. J is 25 km east of L. If R is 31 km east of B, then how far is T from R and in which direction is J from A?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 19

As per the given question:

  • L is 20 km south of B. A is 10 km west of B. J is 25 km east of L.
  • If R is 31 km east of B. J is 28 km south of T. 

Now,
Distance between RT is calculated by using Pythagoras theorem:
→ (RT)2 = (TC)2 + (CR)
→ (RT)2 = (8)2 + (6)
→ (RT)2 = 64 + 36
→ (RT)2 = 100
→ RT = 10 km
Clearly, T is 10 km far from R and J is in 'South East' direction from A
Hence, the correct answer is "10 km, South-East".

CRPF Head Constable Mock Test - 3 - Question 20

Four figures have been given, out of which three are alike in some manner and one is different. Select the one that is different.

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 20

The logic followed here is:

Hence, 'Option 4' is the odd one.

CRPF Head Constable Mock Test - 3 - Question 21

Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.

93 * 65 * 3 * 56 * 14 * 146

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 21

The logic followed here is:
Here, we need to apply the combination of signs to get the correct equation.
Given: 93 * 65 * 3 * 56 * 14 * 146
First we will check options one by one as below:
1) ×, +, -, ÷, =  
⇒ 93 × 65 + 3 - 56 ÷ 14 = 146
⇒ 93 × 65 + 3 - 4 = 146
⇒ 6045 + 3 - 4 = 146
⇒ 6048 - 4 = 46
⇒ 6044 = 146, is not possible. This is not true.
2) +, -, ÷, ×, =
⇒ 93 + 65 - 3 ÷ 56 × 14 = 146
⇒ 93 + 65 - 0.053 × 14 = 146 
⇒ 93 + 65 - 0.75 = 146
⇒ 158 - 0.75 = 1436
⇒ 157.25 = 146, is not possible. This is not true.
3) -, +, ×, ÷, =
⇒ 93 - 65 + 3 × 56 ÷ 14 = 146
⇒ 93 - 65 + 3 × 4 = 146
⇒ 93 - 65 + 12 = 146
⇒ 105 - 65 = 146
⇒ 40 = 146, is not possible. This is not true.
4) +, -, ×, ÷, =
⇒ 93 + 65 - 3 × 56 ÷ 14 = 146
⇒ 93 + 65 - 3 × 4 = 146 
⇒ 93 + 65 - 12 = 146
⇒ 158 - 12 = 146
⇒ 146 = 146, is possible. This is true.
Hence, the combination of signs ' +, -, ×, ÷, =' is used to get correct balanced equation.

CRPF Head Constable Mock Test - 3 - Question 22

Choose the alternative which is an odd word/number/letter pair out of the given alternatives.

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 22

Emergency helpline numbers is as follows;

102 is the emergency number of Ambulance not for the woman helpline.
Hence, "102 - Women Helpline" is the odd one out and hence it is considered as the correct answer.

CRPF Head Constable Mock Test - 3 - Question 23

If the first half of the given letter series is reversed, then which of the following will be the third letter to the left of the eighth letter from the right?

A U R R G H R S W C G I O P D S Q T  

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 23

The logic followed here is :-
Given series : A U R R G H R S W C G I O P D S Q T  
Total 18 letters are there in given series.
First half of given letters are : A U R R G H R S W
After reversing the first half of given series the series is as follows : W S R H G R R U A C G I O P D S Q T
The letter 8th from right end is : W S R H G R R U A C G I O P D S Q T
⇒ The letter which is third to left of letter which eight from right end of series formed is : W S R H G R R U A C G I O P D S Q T
Hence, the correct answer is "U".

CRPF Head Constable Mock Test - 3 - Question 24

Pointing towards a Boy, Mr. Ram said, "He is the Son of my Mother's only Son's wife. How is Boy related to Ram?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 24

By using the symbols in the table given below, we can draw the following family tree:

Based on the following data, the family tree diagram can be drawn as shown below,

Hence, the boy related to Ram is "SON".

CRPF Head Constable Mock Test - 3 - Question 25

The height of the mango tree and the coconut tree are the same. Banana tree is smaller than palm tree. The guava tree is shorter than the banana tree but taller than the mango tree. Which tree is the tallest?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 25

Given:
1) length of Mango Tree & Coconut Tree are same:
⇒ Coconut Tree = Mango Tree
2) Banana tree is smaller than palm tree: 
⇒ Banana Tree < Palm Tree ......  Eq (1)        
3) Guava tree is shorter than the Banana tree but taller than the Mango tree:
⇒ Mango Tree < Guava Tree < Banana Tree ...........   Eq (2)
Now from Equation (1) & Equation (2).
Coconut Tree = Mango Tree < Guava Tree < Banana Tree < Palm Tree 
We can see in the above equation that Palm tree is the tallest one.
Hence the correct answer is "Palm".

CRPF Head Constable Mock Test - 3 - Question 26

What is the compound interest earned on 3rd year if Rs. 10000 is invested at the rate of 40% per annum?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 26

Given:
Principal = Rs. 10000,
Rate = 40% per annum
Compound interest earned on 3rd year = Amount received after 3 years – Amount received after 2 years.
In case of compound interest:

Where,
P = Principal, R = rate of interest and T = Time
And
CI = Amount – Principal
Applying the formula:
Amount received after 2 years = 10000 × ((1)+(40/100))2
= Rs. 19600
And
Amount received after 3 years = 10000 × ((1)+(40/100))3
= Rs. 27440
∴ Interest for the 3rd year = 27440 – 19600 
= Rs. 7840.

CRPF Head Constable Mock Test - 3 - Question 27

100 Liters of mixture contains 15% water and rest milk, the amount of milk that must be added so that the resulting mixture contains 87.5% milk is?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 27

Amount of water in the mixture = 15L
⇒ Milk = 85 L
On adding the milk to make the concentration of milk 87.5%, the quantity of the milk remains the same,
⇒ 12.5% Water = 15 L
⇒ 100% = 120 L
⇒ Out of 120 L, the concentration of water is 15L
⇒ Quantity of milk = 105 L
∴ Quantity added = 105 – 85 = 20 L.

CRPF Head Constable Mock Test - 3 - Question 28

A hollow sphere of internal and external diameters 4 cm and 8 cm, respectively is melted into a solid cone of base diameter 8 cm. The height of the cone is: 

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 28

Given:
Internal diameter of hollow sphere (d) = 4 cm
Internal radius of hollow sphere (r) = 4/2 = 2 cm
External diameter of hollow sphere (D) = 8 cm
External radius of hollow sphere (R) = 8/2 = 4 cm
As we know,
Volume of the Hollow sphere =

Diameter of the cone (d1) = 8 cm
Radius of the cone (r1) = 8/2 = 4 cm
Let the height of the cone be ℎ cm
Volume of the cone = 

Volume of the cone = Volume of the hollow sphere

So, the height of the cone is 14 cm.

CRPF Head Constable Mock Test - 3 - Question 29

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 29

Let the son's present age be x years.
Then, man's present age = (x+24) years
So, according to the question,

CRPF Head Constable Mock Test - 3 - Question 30

Sum of three numbers a, b and c is 10(a+b+c=10). If a, b and c are three positive integers, then what is their maximum product (a × b × c) ?

Detailed Solution for CRPF Head Constable Mock Test - 3 - Question 30

The possible combinations are (5,3,2)(2,4,4),(3,3,4),(2,2,6),(7,2,1), (8,1,1)
Product of the combinations 
⇒ 5×3×2 = 30
⇒ 2×4×4 = 32
⇒ 4×3×3 = 36
⇒ 2×2×6 = 24
⇒ 7×2×1 = 14
⇒ 8×1×1 = 8
36 is the maximum product among the combinations.
∴ 36 is the maximum product of (a×b×c).

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