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Question 71

Territorial Army 2022• Reasoning

Direction: In the question generally a set, group or series of numerals is given and you are required to trace out the numerals following certain given conditions.

N rank 5th from the start in the class, S is 8th from the last. If T is 6th after N and just in the middle of N and S, then how many students are there in the class?

  1. AOption (a)

    23

  2. BOption (b)

    24

  3. COption (c)

    25

  4. DOption (d)

    26

View answer & explanation

Correct answer

Answer: (b)B.

24

Why this answer is correct

Given: N rank 5th in the class, S is 8th from the last. If T is 6th after N and just in the middle of N and S.

Rank of N = 5th

Rank of S = 8th from last

Rank of T = 6th after N = 5 + 6 = 11th

T is just in middle of N and S which means number of students between N and T is equal to the number of students between T and S i.e., 6.

Now, rank of S from start is 11 + 6 = 17th

And rank of S from last is 8th

Total number of students = Rank from start + Rank from last - 1

Total number of students = 17 + 8 - 1 = 24

Hence, the correct answer is option (2).

Question 72

Territorial Army 2022• Reasoning

Direction: In the question generally a set, group or series of numerals is given and you are required to trace out the numerals following certain given conditions.

In a row of 21 girls when Monica was shifted by four places towards the right, she became 12th from the left end. What was her earlier position from the right end of the row?

  1. AOption (a)

    8th

  2. BOption (b)

    10th

  3. COption (c)

    12th

  4. DOption (d)

    14th

View answer & explanation

Correct answer

Answer: (d)D.

14th

Why this answer is correct

Given: In a row of 21 girls when Monica was shifted by four places towards the right, she became 12th from the left end.

(Left)

(Right)

From the figure we can see that Monica's initial from the right end is 14th.

Monica from right end = 21 - 8 + 1 = 14

Hence, the correct answer is option (4).

Question 73

Territorial Army 2022• Reasoning

Direction: In the question some particular objects are assigned code names, then a question is asked that is to be answered in the code language.

If sand is called air, air is called plateau, plateau is called well, well is called island, island is called sky, then from where will a women draw water?

  1. AOption (a)

    Island

  2. BOption (b)

    Well

  3. COption (c)

    Sky

  4. DOption (d)

    Air

View answer & explanation

Correct answer

Answer: (a)A.

Island

Why this answer is correct

From the given information:

WordCodded As
SandAir
AirPlateau
PlateauWell
WellIsland
IslandSky

We know that, water is drawn from a well but in this case well is called island.

Hence, the correct answer is option (1).

Question 74

Territorial Army 2022• Reasoning

Direction: In the question some particular objects are assigned code names, then a question is asked that is to be answered in the code language.

If cloud is called white, white is called rain, rain is called green, green is called air, air is called blue and blue is called water, where will the birds fly?

  1. AOption (a)

    Air

  2. BOption (b)

    Blue

  3. COption (c)

    Cloud

  4. DOption (d)

    White

View answer & explanation

Correct answer

Answer: (b)B.

Blue

Why this answer is correct

From the given information:

WordCodded As
CloudWhite
WhiteRain
RainGreen
GreenAir
AirBlue
BlueWater

We know that birds fly in air but in this case air is called blue.

Hence, the correct answer is option (2).

Question 75

Territorial Army 2022• Reasoning

Direction: In the question some particular objects are assigned code names, then a question is asked that is to be answered in the code language.

If water is called food, food is called tree, tree is called sky, sky is called wall, on which of the following grows a fruit?

  1. AOption (a)

    water

  2. BOption (b)

    food

  3. COption (c)

    sky

  4. DOption (d)

    tree

View answer & explanation

Correct answer

Answer: (c)C.

sky

Why this answer is correct

From the given information:

WordCodded As
WaterFood
FoodTree
TreeSky
SkyWall

We know that fruit grows on a tree and in this case tree is called sky.

Hence, the correct answer is an option (3).

Question 76

Territorial Army 2022• Reasoning

Directions

In this type you are provided with substitutes for various mathematical symbols or numerals, followed by a question involving calculation of an expression or choosing the correct / incorrect equation. You are required to put in the real signs or numerals in the given equation and then solve the question.

If Q means to +, J means to ×, T means - , K means ÷, then 30 K 2 Q 3 J 6 T 5 =

  1. AOption (a)

    18

  2. BOption (b)

    31

  3. COption (c)

    28

  4. DOption (d)

    103

View answer & explanation

Correct answer

Answer: (c)C.

28

Why this answer is correct

Given : Q means to +, J means to ×, T means - , K means ÷

We substitute the values in the given equation and solve it using the BODMAS rule:

LetterCodded As
Q+
J×
T-
K÷

Given: 30 K 2 Q 3 J 6 T 5 = ?

⇒ 30 ÷ 2 + 3 × 6 - 5 = ?

⇒ 15 + 3 × 6 - 5 = ?

⇒ 15 + 18 - 5 = ?

⇒ 33 - 5 = ?

⇒ 28 = Answer

Hence, the correct answer is option (3).

Question 77

Territorial Army 2022• Reasoning

Directions

In this type you are provided with substitutes for various mathematical symbols or numerals, followed by a question involving calculation of an expression or choosing the correct / incorrect equation. You are required to put in the real signs or numerals in the given equation and then solve the question.

If P denotes ÷, Q denotes ×, R denotes + and S denotes -, then what is the value of 18 Q 12 P 4 R 5 S 6?

  1. AOption (a)

    59

  2. BOption (b)

    53

  3. COption (c)

    63

  4. DOption (d)

    65

View answer & explanation

Correct answer

Answer: (b)B.

53

Why this answer is correct

We substitute the values in the given equation and solve it using the BODMAS rule:

LetterCodded As
P÷
Q×
R+
S-

Given: 18 Q 12 P 4 R 5 S 6 = ?

⇒18 × 12 ÷ 4 + 5 - 6 = ?

⇒ 18 × 3 + 5 - 6 = ?

⇒ 54 + 5 - 6 = ?

⇒ 59 - 6 = ?

⇒ 53 = Answer

Hence, the correct answer is option (2).

Question 78

Territorial Army 2022• Reasoning

Directions

In this type you are provided with substitutes for various mathematical symbols or numerals, followed by a question involving calculation of an expression or choosing the correct / incorrect equation. You are required to put in the real signs or numerals in the given equation and then solve the question.

If A stands for + B stands for - C stands for ×, then what is the value of (10 C 4) A (4 C 4) B 6?

  1. AOption (a)

    50

  2. BOption (b)

    60

  3. COption (c)

    56

  4. DOption (d)

    46

View answer & explanation

Correct answer

Answer: (a)A.

50

Why this answer is correct

Given : A stands for + B stands for - C stands for ×

We substitute the values in the given equation and solve it using the BODMAS rule:

LetterCodded As
A+
B-
C×
S-

Given: (10 C 4) A (4 C 4) B 6? 

⇒(10 × 4) + (4 × 4) - 6? 

⇒ 40 + 16 - 6 = ?

⇒ 56 - 6 = ?

⇒50 = Answer

Hence, the correct answer is option (1).

Question 79

Territorial Army 2022• Reasoning

Directions

In the following questions, clues are given regarding comparisons among set of persons, things, direction, age, time, numbers etc. You are required to analyse the whole information and answer the given question accordingly.

If a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds?

  1. AOption (a)

    100 km

  2. BOption (b)

    1000 km

  3. COption (c)

    1 million km

  4. DOption (d)

    1 billion km

View answer & explanation

Correct answer

Answer: (d)D.

1 billion km

Why this answer is correct

Given:

Thickness of paper = 1 mm = 1 × 10-6  km

The thickness of paper after 1 fold = 2 mm

The thickness of paper after 2 fold = 22 mm

The thickness of paper after 50 fold = 250 mm

x = 250 × 10-6 km

x =  250 /106

Taking log on both sides

log x = 50 × log2 - 6 × log10

⇒ log x = 50 × 0.3010 - 6 × 1

⇒ log x = 15.05 - 6

⇒ log x = 9.05

⇒ log x ≈ 9

⇒ x = anti log 9

⇒ x = 109 km

⇒ x = 109 km

⇒  x = 1 billion km

∴ The thickness of the pile after 50 folds is 1 billion km.

Question 80

Territorial Army 2022• Reasoning

Directions

In the following questions, clues are given regarding comparisons among set of persons, things, direction, age, time, numbers etc. You are required to analyse the whole information and answer the given question accordingly.

A was born 2 years after his father’s marriage, his mother is 5 years younger than his father, but 20 years older than A, who is 10 years old. At what age did the father get married?

  1. AOption (a)

    35 years

  2. BOption (b)

    25 years

  3. COption (c)

    23 years

  4. DOption (d)

    33 years

View answer & explanation

Correct answer

Answer: (c)C.

23 years

Why this answer is correct

Given:

Age of A = 10 yrs

Age of A's mother = 10 + 20 = 30 yrs

Age of A's father = 30 + 5 = 35 yrs

Now age of A's father when A was born = 35 - 10 = 25 yrs

We have, A was born 2 years after his father’s marriage, so

the age of A's father when he got married → 25 - 2 = 23 yrs.

Hence, the correct answer is option (3).