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Question 1

Allahabad High Court RO/ARO 2021• Test

Study the pattern carefully and select the number that can replace the question mark (?)

  1. AOption (a)

    33

  2. BOption (b)

    32

  3. COption (c)

    31

  4. DOption (d)

    30

View answer & explanation

Correct answer

Answer: (c)C.

31

Why this answer is correct

The logic followed here is: 

 → (21 - 6) × (21 + 6) = 15 × 27 ⇒ 405

And,

→ (23 - 5) × (23 + 5) = 18 × 28 ⇒ 504

Similarly,

 → (? - 9) × (? + 9) = 880

→ (?)2 - (9)2 = 880

→ (?)2 = 880 + 81

→ ? = √961

→ ? = 31

Hence, "Option 3" is the correct answer.

Question 2

Allahabad High Court RO/ARO 2021• Test

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

4, 10, 18, 38, \( _?_ \), 150

  1. AOption (a)

    86

  2. BOption (b)

    78

  3. COption (c)

    76

  4. DOption (d)

    74

View answer & explanation

Correct answer

Answer: (d)D.

74

Why this answer is correct

The logic followed here is:

 

Hence, "Option 4" is the correct answer.

Question 3

Allahabad High Court RO/ARO 2021• Test

How many triangles are there in the following Figure ?

  1. AOption (a)

    20

  2. BOption (b)

    24

  3. COption (c)

    22

  4. DOption (d)

    26

View answer & explanation

Correct answer

Answer: (c)C.

22

Why this answer is correct

The total number of triangles in the given figure is shown below:

Thus, there are a total of 22 triangles.

Hence, "Option 3" is the correct answer.

Question 4

Allahabad High Court RO/ARO 2021• Test

In a code language, MATH is written as LWEP. How will CLUB be written using same code ?

  1. AOption (a)

    FPXF

  2. BOption (b)

    FXFP

  3. COption (c)

    FXPF

  4. DOption (d)

    FPFX

View answer & explanation

Correct answer

Answer: (c)C.

FXPF

Why this answer is correct

The pattern followed here is:

MATH is written as LWEP​

Similarly,

CLUB is written as

Hence, ‘Option 3’ is the correct answer.

Question 5

Allahabad High Court RO/ARO 2021• Test

Three of the following numbers are similar and one is different. Find the odd one out.

  1. AOption (a)

    12

  2. BOption (b)

    14

  3. COption (c)

    56

  4. DOption (d)

    20

View answer & explanation

Correct answer

Answer: (b)B.

14

Why this answer is correct

The logic followed here is: 

Option 1) 12 → Multiple of consecutive integers → 3 × 4 = 12

Option 2) 14 → Not a Multiple of consecutive integers → 2 × 7 = 14

Option 3) 56 → Multiple of consecutive integers → 7 × 8 = 56

Option 4) 20 → Multiple of consecutive integers → 4 × 5 = 20

Hence, "Option 2" is the correct answer.

Question 6

Allahabad High Court RO/ARO 2021• Test

If \( + \) denotes \( -, - \) denotes \( \times, \times \) denotes \( \div \) and \( \div \) denotes \( +, \) then \( 25-2 \div 10 \times 5+2=? \)

  1. AOption (a)

    10

  2. BOption (b)

    26

  3. COption (c)

    58

  4. DOption (d)

    50

View answer & explanation

Correct answer

Answer: (d)D.

50

Why this answer is correct

Decoding signs:

Sign+-×÷
Stands For-×÷+

Given: 25 - 2 ÷ 10 × 5 + 2 = ?

25 - 2 ÷ 10 × 5 + 2 = ? ⇒ 25 × 2 + 10 ÷ 5 - 2 = ?

⇒ 25 × 2 + 10 ÷ 5 - 2 = ?

⇒ 25 × 2 + 2 - 2 = ?

⇒ 50 + 2 - 2 = ?

⇒ 52 - 2 = ?

⇒ 50 = ?

Hence, "Option 4" is the correct answer.

Question 7

Allahabad High Court RO/ARO 2021• Test

\( A + B \) means \( A \) is brother of \( B \)

\( A - B \) means \( A \) is wife of \( B \)

\( A \times B \) means \( A \) is daughter of \( B \)

\( A \div B \) means \( A \) is father of \( B \)

If \( P+S \times Q \times R-T \div V \div U \) then how is \( T \) related to \( P \)?

  1. AOption (a)

    Paternal grandmother

  2. BOption (b)

    Paternal grandfather

  3. COption (c)

    Maternal grandmother

  4. DOption (d)

    Maternal grandfather

View answer & explanation

Correct answer

Answer: (d)D.

Maternal grandfather

Why this answer is correct

Decoding symbols:

A is
Symbol+-×÷
MeaningBrotherWifeDaughterFather
to B

Given: P + S × Q × R - T ÷ V ÷ U  

P + S → P is the brother of S. 

S × Q → S is the daughter of Q.

Q × R → Q is the daughter of R.

R - T → R is the wife of T.

T ÷ V → T is the father of V.

V ÷ U → V is the father of U

Here, T is P's maternal grandfather.

Hence, "Option 4" is the correct answer.

Question 8

Allahabad High Court RO/ARO 2021• Test

Three different positions of the same dice are shown below. Which number is on the face of the dice opposite the face showing the number 1?

  1. AOption (a)

    3

  2. BOption (b)

    4

  3. COption (c)

    6

  4. DOption (d)

    2

View answer & explanation

Correct answer

Answer: (b)B.

4

Why this answer is correct

The logic followed here is :-

From the given three different cubes the adjacent sides are as shown below :

As 5 is common on both the dice I and II, it is clear that 1, 3, 4 and 6 are adjacent to it, and the remaining i.e., 2 will be opposite to it.

Opposite pairs:

1 → 4

3 → 6

5 → 2

So, the opposite side of "1" will be side "4".

Hence, the correct answer is "Option 2".

Question 9

Allahabad High Court RO/ARO 2021• Test

Choose the correct option for the Venn diagram given below

  1. AOption (a)

    Cows, buffaloes, cattle

  2. BOption (b)

    Solids, liquids, gases

  3. COption (c)

    Fathers, men, teachers

  4. DOption (d)

    Yellow, red, colours

View answer & explanation

Correct answer

Answer: (c)C.

Fathers, men, teachers

Why this answer is correct

The diagram that best represents the relationship between the given classes is shown below :

Some men can be fathers and thus will be part of the father's category.

Some men can be teachers.

Some fathers can be teachers.

Hence, "Option 3" is the correct answer.

Additional Information

  1. fathers, men, teachers

  2. cows, buffaloes, cattle

  3. solids, liquids, gases

  4. yellow, red, colours

Question 10

Allahabad High Court RO/ARO 2021• Test

Amit is older than Vijay. Shaun is older than Joy. Ketan is younger than Joy. Vijay is older than Shaun. Who is the youngest in the group ?

  1. AOption (a)

    Shaun

  2. BOption (b)

    Ketan

  3. COption (c)

    Joy

  4. DOption (d)

    Vijay

View answer & explanation

Correct answer

Answer: (b)B.

Ketan

Why this answer is correct

Given:

1) Amit is older than Vijay

2) Vijay is older than Shaun.

Amit > Vijay > Shaun

3) Shaun is older than Joy.

  1. Ketan is younger than Joy.

Amit > Vijay > Shaun > Joy > Ketan

Thus, Ketan is the youngest in the group.

Hence, "Option 2" is the correct answer.

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