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Question 81

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 father tells his son “I was of your present age when you were born”. If the father is 36 now, how old was the boy 5 years back?

  1. AOption (a)

    15 years

  2. BOption (b)

    13 years

  3. COption (c)

    17 years

  4. DOption (d)

    20 years

View answer & explanation

Correct answer

Answer: (b)B.

13 years

Why this answer is correct

Given: I was of your present age when you were born.

From this statement we can say that the father is double the age of his son.

Father's present age = 36 yrs

Son's present age = 36/2 = 18 yrs

Son's age 5 years back = 18 - 5 = 13 yrs

Hence, the correct answer is option (2).

Question 82

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 father is now 3 times old as his son. 5 years back, he was 4 times old as his son. The age of the son (in years) is?

  1. AOption (a)

    15 years

  2. BOption (b)

    12 years

  3. COption (c)

    18 years

  4. DOption (d)

    20 years

View answer & explanation

Correct answer

Answer: (a)A.

15 years

Why this answer is correct

From the given information:

Step 1: A father is now 3 times old as his son.

      Father = 3 × Son

Step 2: 5 years back, he was 4 times old as his son.

⇒ Father - 5 = 4(Son - 5)

⇒ Father - 5 = 4(Son) - 20 

⇒ Father - 4(Son) + 15 = 0

Now we combine step 1 and 2,

 3 × Son - 4(Son) + 15 = 0

 -1(Son) = -15

We eliminate negative sign from both sides,

 Son = 15 yrs

Hence, the correct answer is option (1).

Question 83

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 woman says, “if you reverse my own age the figures represents my husband's age. He is, of course, senior to me and the difference between our ages is 1/11th of their sum”. The women’s age is?

  1. AOption (a)

    23 years

  2. BOption (b)

    34 years

  3. COption (c)

    45 years

  4. DOption (d)

    50 years

View answer & explanation

Correct answer

Answer: (c)C.

45 years

Why this answer is correct

Given:

The sum of the ages of the couple is 11 times the difference of their ages.

Calculations:

Let age of the women be 10x + y years

Age of her husband = 10y + x years

According to the question,

⇒ (10y + x) – (10x + y) = 1/11 × (10x + y + 10y + x)

⇒ 10y + x - 10x - y = 1/11 × 11x + 11

⇒ 9y – 9x = x + y

⇒ 8y = 10x

⇒ x/y = 4/5

Hence, Age of the women is 45 years.

Question 84

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.

In a group of 15 people, 7 read French, 8 read  English while 3 of them read none of these two. How many of them read French and English both?

  1. AOption (a)

    0

  2. BOption (b)

    3

  3. COption (c)

    4

  4. DOption (d)

    5

View answer & explanation

Correct answer

Answer: (b)B.

3

Why this answer is correct

Given : 7 read French, 8 read English while 3 of them read none of these two.

According to the formula:

Total = E + F - EF + N

where E is English, F is French , EF is both English & French and N is neither.

We substitute the given values to the formula,

15 = 7 + 8 - EF + 3

15 = 18 - EF

EF = 18 - 15

EF = 3 

So, there are 3 people who read both English and French.

Hence, the correct answer is option (2).

Question 85

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.

M went to movies 9 days ago. She goes to the movies only on Thursdays. What day of the week is today?

  1. AOption (a)

    Thursday

  2. BOption (b)

    Saturday

  3. COption (c)

    Sunday

  4. DOption (d)

    Tuesday

View answer & explanation

Correct answer

Answer: (b)B.

Saturday

Why this answer is correct

Given : M went to movies 9 days ago. She goes to the movies only on Thursdays.

9 days from Thursday → (Thursday to Thursday is 7 days), remaining days = 2.

So, Thursday + 2 i.e., Saturday.

Hence, the correct answer is option (2).

Question 86

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 30th January 2003 was Thursday what was the day on 2nd Mar 2003?

  1. AOption (a)

    Sunday

  2. BOption (b)

    Tuesday

  3. COption (c)

    Thursday

  4. DOption (d)

    Saturday

View answer & explanation

Correct answer

Answer: (a)A.

Sunday

Why this answer is correct

We have : 30th January 2003 was Thursday

Now we count the number of days:

31st January = 1 day

February 2003 = 28 days(not a leap year)

1st and 2nd march = 2 days

Total number of days = 31 days

Now we divide the total with 7 and the remainder will represents the day of the week: 31/7 → 3 is the remainder.

So, 2nd March 2003 will be Thursday + 3 i.e., Sunday.

Hence, the correct answer is option (1).

Question 87

Territorial Army 2022• Reasoning

Directions

In the following questions, a matrix of certain characters is given. These characters follow a certain trend, row-wise or column wise. Find out this trend and choose the missing character accordingly.

456
237
183
2198?
  1. AOption (a)

    94

  2. BOption (b)

    76

  3. COption (c)

    73

  4. DOption (d)

    16

View answer & explanation

Correct answer

Answer: (a)A.

94

Why this answer is correct

The pattern followed in the given series is:

   (First term)2 + (Second term)2 + (Third term)2 = Fourth term

Now we apply the pattern on the given columns:

Column 1: (4)2 + (2)2 + (1)2 = 21

16 + 4 + 1 = 21

21 = 21

Column 2: (5)2 + (3)2 + (8)2 = 98

25 + 9 + 64 = 98

98 = 98

Column 3: (6)2 + (7)2 + (3)2 = ?

36 + 49 + 9 = ?

94 = Answer

Hence, the correct answer is option (1).

Question 88

Territorial Army 2022• Reasoning

Directions

In the following questions, a matrix of certain characters is given. These characters follow a certain trend, row-wise or column wise. Find out this trend and choose the missing character accordingly.

9632844
464?903
  1. AOption (a)

    1

  2. BOption (b)

    2

  3. COption (c)

    3

  4. DOption (d)

    4

View answer & explanation

Correct answer

Answer: (b)B.

2

Why this answer is correct

The pattern followed in the given series is:

   Sum of digits of first term - Sum of digits of third term = Second term

Now we apply the pattern on the given rows:

Row 1: (9 + 6 + 3) - (8 + 4 + 4) = 2

18 - 16 = 2

2 = 2

Row 2: (4 + 6 + 4) - (9 + 0 + 3) = ?

14 - 12 = ?

2 = Answer

Hence, the correct answer is option (2).

Question 89

Territorial Army 2022• Reasoning

Directions

In the following questions, a matrix of certain characters is given. These characters follow a certain trend, row-wise or column wise. Find out this trend and choose the missing character accordingly.

745
876
33?
291931
  1. AOption (a)

    3

  2. BOption (b)

    4

  3. COption (c)

    5

  4. DOption (d)

    6

View answer & explanation

Correct answer

Answer: (c)C.

5

Why this answer is correct

The pattern followed in the given series is:

    (Fourth term - Second term) ÷ First term = Third term

Now we appl the pattern on the given columns:

Column 1: (29 - 8) ÷ 7 = 3

21 ÷ 7 = 3

3 = 3

Column 2: (19 - 7) ÷ 4 = 3

12 ÷ 4 = 3

3 = 3

Column 3: (31 - 6) ÷ 5 = ?

25 ÷ 5 = ?

5 = Answer

Hence, the correct answer is option (3).

Question 90

Territorial Army 2022• Reasoning

Directions

In the following questions, a matrix of certain characters is given. These characters follow a certain trend, row-wise or column wise. Find out this trend and choose the missing character accordingly.

  1. AOption (a)

    22

  2. BOption (b)

    33

  3. COption (c)

    66

  4. DOption (d)

    677

View answer & explanation

Correct answer

Answer: (a)A.

22

Why this answer is correct

The pattern followed in the given series is:

   (First term - Third term) × 11 = Second term [Taking Positive value only]

Now we apply the pattern in the given rows:

Row 1: (42 - 38) × 11 = 44

4 × 11 = 44

44 = 44

Row 2: (23 - 28) × 11 = 55  [Taking Positive value only]

5 × 11 = 55

55 = 55

Row 3: (37 - 39) × 11 = ?

2 × 11 = ?

22 = Answer

Hence, the correct answer is option (1).