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Question 1

Delhi Police MTS 2019• Test

The average of 5 numbers is 50. If one new number is added, the average becomes 60. Find the new number.

  1. AOption (a)

    60

  2. BOption (b)

    90

  3. COption (c)

    100

  4. DOption (d)

    110

View answer & explanation

Correct answer

Answer: (d)D.

110

Why this answer is correct

Given:

The average of 5 numbers is 50.

If one new number is added, the average becomes 60. 

Concept used:

Total = Average × Number of entities

Calculation:

Initially the total of 5 numbers = 5 × 50

⇒ 250

New total = (5 + 1) × 60

⇒ 360

Now, the new number = 360 - 250

⇒ 110

∴ The new number is 110.

Question 2

Delhi Police MTS 2019• Test

If the area of a rectangle is 168 cm2, what is the length and breadth of the rectangle?

  1. AOption (a)

    12, 14

  2. BOption (b)

    24, 17

  3. COption (c)

    32, 4

  4. DOption (d)

    42, 12

View answer & explanation

Correct answer

Answer: (a)A.

12, 14

Why this answer is correct

Shortcut Trick

Check the product of the given options to match the Area (168 cm2).

(1) 12 × 14 = 168 (Matches)

(2) 24 × 17 = 408 (Incorrect)

(3) 32 × 4 = 128 (Incorrect)

(4) 42 × 12 = 504 (Incorrect)

∴ The correct answer is 12, 14 cm.

Alternate Method

Given:

Area of the rectangle = 168 cm2

Formula Used:

Area of Rectangle = Length (L) × Breadth (B)

Calculations:

⇒ L × B = 168

⇒ Testing Option (1): 12 × 14 = 168 cm2

⇒ Since the product of 12 and 14 equals the given Area, these are the dimensions.

∴ The correct answer is 12, 14 cm.

Additional Information

Perimeter of Rectangle

The total boundary length is given by 2 × (Length + Breadth).

Diagonal of Rectangle

The distance between opposite corners is calculated as √(Length2 + Breadth2).

Square Property

A square is a special rectangle where Length = Breadth, and Area = Side2.

Question 3

Delhi Police MTS 2019• Test

What is required in directory?

  1. AOption (a)

    telephone

  2. BOption (b)

    listing

  3. COption (c)

    computer

  4. DOption (d)

    names

View answer & explanation

Correct answer

Answer: (b)B.

listing

Why this answer is correct

The logic followed here is:

for a directory,

Option 1) telephone - It is a telecommunications device and not required in the directory.

Option 2) listing - the listing is compulsory for a directory because it gives the sequence.

Option 3) computer - It is an electronic device and not required in the directory.

Option 4) names - only names doesn't require for a directory, because it saves names along with his/her number.

Hence, the correct answer is "Option 2".

Question 4

Delhi Police MTS 2019• Test

Choose the picture that is different from the other.

  

  1. AOption (a)

    (1)

  2. BOption (b)

    (2)

  3. COption (c)

    (3)

  4. DOption (d)

    (4)

View answer & explanation

Correct answer

Answer: (d)D.

(4)

Why this answer is correct

The logic followed here is:

So, 4th figure is different from the other.

Hence, the correct answer is "Option 4".

Question 5

Delhi Police MTS 2019• Test

Which of the following words is odd one out?

  1. AOption (a)

    Triangle 

  2. BOption (b)

    Circle 

  3. COption (c)

    Oval 

  4. DOption (d)

    Ball

View answer & explanation

Correct answer

Answer: (a)A.

Triangle 

Why this answer is correct

The logic followed here is:

Circle, Oval, and Ball are are round(circle) shaped,

Whereas,

Triangle is a three dimensional shape.

Hence, the correct answer is "Triangle".

Question 6

Delhi Police MTS 2019• Test

Choose the picture which is different from the others.

  1. AOption (a)

    (1)

  2. BOption (b)

    (2)

  3. COption (c)

    (3)

  4. DOption (d)

    (4)

View answer & explanation

Correct answer

Answer: (c)C.

(3)

Why this answer is correct

The logic followed here is:

Hence, the correct answer is "Option 3".

Question 7

Delhi Police MTS 2019• Test

​Direction: Study the given information and answer the questions.

There are seven students (including boys and girls) in a class – A, B, C, D, E, F, and G. They sit on three benches I, II and III respectively such that at least two students sit on a bench and at least one girl on a bench. C who is a girl does not sit with A, E and D. F a boy sits only with B. A who is boy sits on the bench I with his good friends. G sits on bench III and is a boy. E is the brother of C.

Who sits with C?

  1. AOption (a)

    B

  2. BOption (b)

    D

  3. COption (c)

    G

  4. DOption (d)

    E

View answer & explanation

Correct answer

Answer: (c)C.

G

Why this answer is correct

Given:

Seven students (including boys and girls) - A, B, C, D, E, F, and G are sit on three benches I, II and III.

At least two students sit on a bench, at least one girl on a bench - This means At least 1 boy and 1 girl sit on the bench among the two students.

1) A who is boy sits on bench I with his good friends.

Bench I - A(Boy)

2) F a boy sits only with B.

Bench II - F(Boy) and B(Girl).

3) G sits on bench III.

4) C who is a girl does not sit with A, E and D - It means C will sit with G (Because F sits only with B, so it cancels the possibility of B and F).

Bench III - G and C(Girl).

  1. Remaining students will sit on Bench I:

6) E is the brother of C.

Bench I - A(Boy), E(Boy) and D(Girl).

So, final arrangements are:

Bench I - A(Boy), E(Boy) and D(Girl).

Bench II - F(Boy) and B(Girl).

Bench III - G(Boy) and C(Girl).

Here, C sits with G.

Hence, the correct answer is "G".

Question 8

Delhi Police MTS 2019• Test

​Direction: Study the given information and answer the questions.

There are seven students (including boys and girls) in a class – A, B, C, D, E, F, and G. They sit on three benches I, II and III respectively such that at least two students sit on a bench and at least one girl on a bench. C who is a girl does not sit with A, E and D. F a boy sits only with B. A who is boy sits on the bench I with his good friends. G sits on bench III and is a boy. E is the brother of C.

Which of the following is a group of girls?

  1. AOption (a)

    BAC

  2. BOption (b)

    BFC

  3. COption (c)

    BCD

  4. DOption (d)

    CDF

View answer & explanation

Correct answer

Answer: (c)C.

BCD

Why this answer is correct

Given:

Seven students (including boys and girls) - A, B, C, D, E, F, and G are sit on three benches I, II and III.

At least two students sit on a bench, at least one girl on a bench - This means At least 1 boy and 1 girl sit on the bench among the two students.

1) A who is boy sits on bench I with his good friends.

Bench I - A(Boy)

2) F a boy sits only with B.

Bench II - F(Boy) and B(Girl).

3) G sits on bench III.

4) C who is a girl does not sit with A, E and D - It means C will sit with G (Because F sits only with B, so it cancels the possibility of B and F).

Bench III - G and C(Girl).

  1. Remaining students will sit on Bench I:

6) E is the brother of C.

Bench I - A(Boy), E(Boy) and D(Girl).

So, final arrangements are:

Bench I - A(Boy), E(Boy) and D(Girl).

Bench II - F(Boy) and B(Girl).

Bench III - G(Boy) and C(Girl).

Here, 

the possible arrangement for Girls: CBD.

According to the given option: BCD is the arrangement is group of girls.

Hence, the correct answer is "Option 3".

Question 9

Delhi Police MTS 2019• Test

​Direction: Study the given information and answer the questions.

There are seven students (including boys and girls) in a class – A, B, C, D, E, F, and G. They sit on three benches I, II and III respectively such that at least two students sit on a bench and at least one girl on a bench. C who is a girl does not sit with A, E and D. F a boy sits only with B. A who is boy sits on the bench I with his good friends. G sits on bench III and is a boy. E is the brother of C.

How many girls are there among these 7 students?

  1. AOption (a)

    3

  2. BOption (b)

    3 or 4

  3. COption (c)

    4

  4. DOption (d)

    Data is insufficient

View answer & explanation

Correct answer

Answer: (a)A.

3

Why this answer is correct

Given:

Seven students (including boys and girls) - A, B, C, D, E, F, and G are sit on three benches I, II and III.

At least two students sit on a bench, at least one girl on a bench - This means At least 1 boy and 1 girl sit on the bench among the two students.

1) A who is boy sits on bench I with his good friends.

Bench I - A(Boy)

2) F a boy sits only with B.

Bench II - F(Boy) and B(Girl).

3) G sits on bench III.

4) C who is a girl does not sit with A, E and D - It means C will sit with G (Because F sits only with B, so it cancels the possibility of B and F).

Bench III - G and C(Girl).

  1. Remaining students will sit on Bench I:

6) E is the brother of C.

Bench I - A(Boy), E(Boy) and D(Girl).

So, final arrangements are:

Bench I - A(Boy), E(Boy) and D(Girl).

Bench II - F(Boy) and B(Girl).

Bench III - G(Boy) and C(Girl).

Here, there are 3 Girls among the given students.

Hence, the correct answer is "Option 1".

Question 10

Delhi Police MTS 2019• Test

The Sahara is a type of ________ desert.

  1. AOption (a)

    Hot

  2. BOption (b)

    Cold

  3. COption (c)

    Soft

  4. DOption (d)

    Dry

View answer & explanation

Correct answer

Answer: (a)A.

Hot

Why this answer is correct

The correct answer is Hot.

Key Points

  • Sahara Desert
  • The Sahara Desert is located in Africa.
  • It is the largest hot desert in the world.
  • All northern Africa is filled with this dessert.
  • The total area of the Desert is somewhere about 3,320,000 square miles.
  • The Desert expands and contracts, so the area of the Desert varies.
  • In the west, the Desert is bordered by the Atlantic Ocean.
  • The Atlas Mountains and the Mediterranean Sea border the Desert in the north.
  • The Red Sea bounds the Mountain in the East.
  • Atop the African shield, the Sahara sits.
  • Denuded pre-Cambrian rocks make the African shield.
  • Mesozoic deposits cover the Sahara Desert.
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