Analytical Ability Test-4

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Analytical Ability Test-4

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following is equivalent to 2x(x²− 3x)?

A
−4x²

B
3x³− x²

C
2x³− 3x

D
2x³− 6x²

Solution

To determine which option is equivalent to the given expression, the expression can be rewritten using the distributive property by multiplying each term of the binomial (x²− 3x) by 2x, which gives 2x³− 6x².
Question 2
1 / -0

Direction: Study the following information carefully and answer the given question.

In a certain code language,

‘vb in ui bi’ means ‘wear your mask now’,

‘in el ci bd’ means ‘black is now symbol’,

‘mo el dc vb bi’ means ‘I never wear black mask’.

Which of the following is coded as ‘el’?

A
black

B
is

C
never

D
mask

Solution

According to the coded language and their meaning:

your is the word which is in first row only and does not appear again.

Similarly, ui is the word that is in the front row only and does not appear again.

Black has the same circle outline as el.

Thus, black is code as ‘el’.
Question 3
1 / -0

Find the 8^th term in the following sequence whose nth term is

A
8/256

B
16/256

C
32/256

D
64/256

Solution
Question 4
1 / -0

In a row of forty students, A is fifth from the right end and there are ten students between A and B. What is B’s position from the left end of the row?

A
25th

B
5th

C
20th

D
Data inadequate
Solution
Given:
- A row of forty students.
- A is fifth from the right end.
- Ten students between A and B.
The question does make it clear that A is on the right side as there are 4 people to his right and 10 people between A and B.

So, there are 15 people to the right B.

So, if x is the rank of B from left

40 = x + 5 + 10

x= 25

So, there are 24 people to B's left. i.e B is 25th from the left.
Question 5
1 / -0

Among T, V, B, E and C, who is the third from the top when arranged in the descending order of their weights ?

Statements :

I. B is heavier than T and C and is less heavier than V who is not the heaviest.

II. C is heavier than only T.

A
I alone is sufficient while II alone is not sufficient

B
II alone is sufficient while I alone is not sufficient

C
Neither I nor II is sufficient

D
Both I and II are sufficient

Solution

From I, we have: B > T, B > C, V > B. Thus, V is heavier than each one of B, T and C. But V is not the heaviest. So, E is the heaviest.

Thus, we have the order. E>V>B>T>C or E>V>B>C>T. Clearly, B is third from the top.
Question 6
1 / -0

In a family, there are several brothers and sisters. Every 2 boys have brothers as many as sisters and each girl has 2 brothers less than twice as many brothers as sisters. Now find the number of boys and girls.

A
8 , 6

B
6 , 4

C
6 , 8

D
12 , 10

Solution

From the given information,

Noor is a grandson of Paksh who is married to Tanmay.

Awantika is the mother of Pratishtha who is married to Rajan.

Tanmay is the father of Rajan but Rajan is not a daughter of Paksh.

Let B be the number of brothers and S be the number of sisters in the family.

Consider any two boys. They would be having (B - 2) brothers (excluding the two). But this number is equal to the number of sisters they have.

Therefore,

B - 2 = S

or , B - S = 2 ............(1) Each girl will have (S - 1) sisters. Twice the number of sisters = 2(S - 1).

Since, each girl has twice as many brothers as sisters, we have, 2(S-1)-2 = B

2S - 4 = B ........... (2)

Substituting, eqn (2) in Eqn (1), we get

2S - 4 - S = 2

S = 6

On substituting S = 6 in equation (1) , we get

B - 6 = 2

B = 8
Question 7
1 / -0

Which word in the code language means 'flower' ?

Statements :

I. 'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.

II. 'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'

A
I alone is sufficient while II alone is not sufficient

B
II alone is sufficient while I alone is not sufficient

C
Either I or II is sufficient

D
Neither I nor II is sufficient

Solution

From the two statements given in I, the code for the only common word 'beautiful' can be determined.

From the two statements given in II, the code for the only common word 'red' can be determined.

In I and II, the common words are 'rose and 'flower' and the common code words are 'de' and 'la'. So, the code for 'flower' is either 'de' or 'la'.
Question 8
1 / -0

In a row of boys, if A who is tenth from the left and B who is ninth from the right interchange their positions, A becomes fifteenth from the left. How many boys are there in the row?

A
23

B
27

C
28

D
31

Solution

According to the question, B is 9th from the right end and A is 15th from the left end.

Therefore, the total number of boys in the row = B's position in a row + A's the position in a row - 1
Total number of boys in the row = 9 + 15 – 1 = 23
Question 9
1 / -0

On which date in August was Kapil born ?

Statements :

I. Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth.

II. Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.

A
I alone is sufficient while II alone is not sufficient

B
II alone is sufficient while I alone is not sufficient

C
Either I or II is sufficient

D
Both I and II are sufficient

Solution

From I, we conclude that Kapil was born on any one of the dates among 16^th, 17^th and 18^th.

From II, we conclude that Kapil was born on any one of the dates among 13^th, 14^th, 15^th and 16^th.

Thus, from both I and II, we conclude that Kapil was born on 16^th August.
Question 10
1 / -0

Today is Monday. After 61 days, it will be:

A
Wednesday

B
Saturday

C
Tuesday

D
Thursday

Solution

Each day of the week is repeated after 7 days.

So, after 63 days, it will be Monday.

∴ After 61 days, it will be Saturday.