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Question 71

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

Fill in the blank spaces in the following series by choosing the correct answer from the options:

6, 15, 36, 81, _____

  1. AOption (a)

    214

  2. BOption (b)

    174

  3. COption (c)

    231

  4. DOption (d)

    None

View answer & explanation

Correct answer

Answer: (b)B.

174

Why this answer is correct

The logic followed here is:

Hence, "Option 2" is the correct answer.

Question 72

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

From the options given below, choose the correct option and write it in place of the question mark:

123
1175
12045?
  1. AOption (a)

    19

  2. BOption (b)

    15

  3. COption (c)

    17

  4. DOption (d)

    16

View answer & explanation

Correct answer

Answer: (d)D.

16

Why this answer is correct

The logic followed here is:

1
11
120

→ 112 - 12 = 120

→ 121 - 1 = 120

→ 121 = 121 (LHS = RHS)

And,

2
7
45

→ 72 - 22 = 45

→ 49 - 4 = 45

→ 45 = 45 (LHS = RHS)

Similarly,

3
5
?

→ 52 - 32 = ?

→ 25 - 9 = ?

→ 16 = ?

Hence, "Option 4" is the correct answer.

Question 73

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

Suresh runs 1 km east of one place. After that he turns south and walks 5 km. After that, turns east and walks 2 km and then turns north and moves 9 km. Now how far has he reached from his initial place?

  1. AOption (a)

    3 km

  2. BOption (b)

    5 km

  3. COption (c)

    4 km

  4. DOption (d)

    7 km

View answer & explanation

Correct answer

Answer: (b)B.

5 km

Why this answer is correct

Given:

Suresh runs 1 km east of one place.

After that he turns south and walks 5 km.

After that, turns east and walks 2 km and then turns north and moves 9 km.

By applying Pythagoras theorem :

(AB)2 = (AC)2 + (BC)2

(AB)2 = (4)2 + (3)2

(AB)2 = 16 + 9

AB = √25

AB = 5 km

Here, Suresh is 5 km far from his initial position.

Hence, "Option 2" is the correct answer.

Question 74

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

If NOR = 2 – 3 – 6, then how will you write REST in this code language?

  1. AOption (a)

    6 - 19 - 6 - 7

  2. BOption (b)

    5 - 19 - 5 - 8

  3. COption (c)

    6 - 19 - 7 - 8

  4. DOption (d)

    6 - 18 - 5 - 8

View answer & explanation

Correct answer

Answer: (c)C.

6 - 19 - 7 - 8

Why this answer is correct

The logic followed here is:

NOR = 2 – 3 – 6

Similarly,

REST = ?

Hence, the correct answer is "Option 3".

Question 75

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

How many times do the digits '1', '3' and '7' appear together in the following series of numbers when '7' is in the middle and '7' has '1' on one side and '3' on the other side?

2 9 7 3 1 7 3 7 7 1 3 3 1 7 3 8 5 7 1 3 7 7 1 7 3 9 0 6

  1. AOption (a)

    3

  2. BOption (b)

    4

  3. COption (c)

    5

  4. DOption (d)

    More than 5 

View answer & explanation

Correct answer

Answer: (a)A.

3

Why this answer is correct

Given series: 2 9 7 3 1 7 3 7 7 1 3 3 1 7 3 8 5 7 1 3 7 7 1 7 3 9 0 6

According to the question:

Required condition: 1/3 - 7 - 1/3

2 9 7 3 1 7 3 7 7 1 3 3 1 7 3 8 5 7 1 3 7 7 1 7 3 9 0 6

Thus, three times do the digits '1', '3' and '7' appear together in the given series of numbers when '7' is in the middle and '7' has '1' on one side and '3' on the other side.

Hence, "Option 1" is the correct answer.

Question 76

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

Ramesh's brother Suresh is 562 days older than him, while his sister Reena is 75 weeks older than Suresh. Now if Reena was born on Friday, on which day was Ramesh born?

  1. AOption (a)

    Wednesday

  2. BOption (b)

    Sunday

  3. COption (c)

    Monday

  4. DOption (d)

    Thursday

View answer & explanation

Correct answer

Answer: (a)A.

Wednesday

Why this answer is correct

Given: 

  1. Ramesh's brother Suresh is 562 days older than him, while his sister Reena is 75 weeks older than Suresh.

Reena (562 days + 75 weeks) > Suresh (562 days) > Ramesh

2) Reena was born on Friday

Reena (562 days + 75 weeks) → 562 + 75 × 7 ⇒ 562 + 525 days ⇒ 1087 days

Odd days = 1087 ÷ 7 → 2 odd days

So, Reena is 2 days older than Suresh.

Reena → Friday

Suresh → Friday - 2 ⇒ Wednesday

Hence, "Option 1" is the correct answer.

Question 77

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

Fill in the blank space to the right of the symbol ∶ ∶ from the given options.

12 ∶ 35 ∶ ∶16 ∶ _______

  1. AOption (a)

    40

  2. BOption (b)

    53

  3. COption (c)

    49

  4. DOption (d)

    63

View answer & explanation

Correct answer

Answer: (d)D.

63

Why this answer is correct

The logic followed here is:

12 ∶ 35 

(12 ÷ 2)2 - 1 = 35

(6)2 - 1 = 35

36 - 1 = 35

35 = 35 (LHS = RHS)

Similarly,

16 ∶ ____ 

(16 ÷ 2)2 - 1 = ?

(8)2 - 1 = ?

64 - 1 = ?

63 = ?

Hence, "Option 4" is the correct answer.

Alternate Method

12 ∶ 35 → 12 × 3 - 1 = 35

16 ∶ __ → 16 × 4 - 1 = 63

Question 78

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

If 'BASIC' has been coded as 'DDULE' in a language, then how will you write 'LEADER' in this language?

  1. AOption (a)

    NHCGGU

  2. BOption (b)

    NGCFGT

  3. COption (c)

    OHDGHU

  4. DOption (d)

    OGDFHT

View answer & explanation

Correct answer

Answer: (a)A.

NHCGGU

Why this answer is correct

The logic followed here is:

'BASIC' has been coded as 'DDULE'

Similarly,

'LEADER' has been coded as

Hence, the correct answer is "Option 1".

Question 79

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

If 3 + 9 = 31;

15 + 12 = 45;

18 + 9 = 36

then

12 + 27 = ?

  1. AOption (a)

    94

  2. BOption (b)

    14

  3. COption (c)

    49

  4. DOption (d)

    53

View answer & explanation

Correct answer

Answer: (a)A.

94

Why this answer is correct

The logic followed here is:

In 3 + 9 = 31 → 

(3 ÷ 3) and (9 ÷ 3)  = 1 and 3 = 13 Reverse 31

In 15 + 12 = 45 →

(15 ÷ 3) and (12 ÷ 3)  = 5 and 4 = 54 Reverse 45

In 18 + 9 = 36 →

(18 ÷ 3) and (9 ÷ 3)  = 6 and 3 = 63 Reverse 36

Similarly;

In 12 + 27 = ?  →

(12 ÷ 3) and (27 ÷ 3)  = 4 and 9 = 49 Reverse 94

Hence, "Option 1" is the correct answer.

Question 80

UP police programmer Grade 2 2013• Part 1: Mental Ability and Reasoning

In a code language, 'SHOOT' has been coded as 21 - 10–17 - 17 - 22. How will you code 'TELLY' in this language?

  1. AOption (a)

    18 - 10 - 12 - 12 - 2

  2. BOption (b)

    22 - 7 - 20 - 14 - 6

  3. COption (c)

    22 - 7 - 14 - 14 - 27

  4. DOption (d)

    7 - 22 - 10 - 12 - 9

View answer & explanation

Correct answer

Answer: (c)C.

22 - 7 - 14 - 14 - 27

Why this answer is correct

The logic followed here is:

'SHOOT' has been coded as 21 - 10–17 - 17 - 22

Similarly,

'TELLY' has been coded as

Hence, the correct answer is "Option 3".