SSC Selection Post Mock Test - 2 - SSC Selection Post MCQ

Given: 7, 10, 15, 22, ?, 42, 55
The logic follows here is:

Hence, the correct answer is "31".

Using BODMAS rule as follows:

Checking options one by one:
1. ×, +, =, +, ÷, -
After replacing the symbol @ by the symbols given in option 1 we get:
(15 × 5 + 25) = 20 + (25 ÷  6) - (- 26)
⇒ 75 + 25 = 20 + 4.167 + 26
⇒ 100 ≠ 50.167 (Incorrect)
2. ×, +, =, ÷, -, +
After replacing the symbol @ by the symbols given in option 2 we get:
(15 × 5 + 25) = 20 ÷ (25 - 6) + (- 26)
75 + 25 = 20 ÷ 21 - 26
75 + 25 = 0.952 - 26
100 ≠ - 25.048 (Incorrect)
3. +, ÷, ×, +, =, -
After replacing the symbol @ by the symbols given in option 3 we get:
(15 + 5 ÷ 25) × 20 + 25 = 6 - (- 26)
(15 + 0.2) × 20 + 25 = 6 + 26
15.2 × 20 + 25 = 32 
304 + 25 = 32
329 ≠ 32 (Incorrect)
4. ×, +, ÷, -,+, =
After replacing the symbol @ by the symbols given in option 4 we get:
(15 × 5 + 25) ÷ 20 - (25 + 6) = (- 26)
100 ÷ 20 - 31 = (-26)
5 - 31 = (-26)
(-26) = (-26) (Correct)
Hence, the correct answer is "×, +, ÷, -,+, =".

The square shape moves two times clockwise. The central shape remains the same:

In the next step, i.e. third figure, the no. of sides increases in the corner element and it becomes a pentagon.

In the next step, the pentagon moves two steps ahead in the clockwise direction and takes up the top left position and the central element remains unchanged as shown:

Hence, the correct answer is "Option (1)".

The logic here is:
Logic: (First number)² + 5 = Second number.
So, we will check the options one by one: 
1) 6 : 41 ⇒ (6)² + 5 = 36 + 5 = 41
2) 4 : 21 ⇒ (4)² + 5 = 16 + 5 = 21
3) 8 : 70 ⇒ (8)² + 5 = 69 ≠ 70
4) 7 : 54 ⇒ (7)² + 5 = 49 + 5 = 54
Hence, the number pair '8 : 70' is the odd one out.

In order to open an account on any website, we first enter our details and set a password to signup, after that we login to our account and then we logout.
So, the correct order is ‘5, 2, 4, 1, 3’.

Preparing the family tree using the following symbols,

Given:
1) G and H are married couple.
2) H is daughter-in-law of L.
3) I is G's brother.
4) J is the only son of I.
5) T is sister of J.

Hence, T is the "Daughter" of I.

The image embedded in given figure is as shown below :

∴ Here, Option figure 3 is not embedded in given figure (X).
Hence, the correct answer is "Option-(3)".

The pattern followed here is:

Hence, "752" is the correct answer.

The logic followed here is :-
In the given word the letters alphabet positional value opposite -1.
GKNR : SOLH

Similarly,
MNGB : ? 

Hence, the correct answer is "MLSX".

By checking all the options and substituting accordingly:
1) × and + 
⇒ 198 ÷ 9 – 27 × 3 + 14 = 81
⇒ 22 - 81 + 14 = 81
⇒ -45 ≠ 81
2) × and – 
⇒ 198 ÷ 9 × 27 + 3 – 14 = 81
⇒ 22 × 27 + 3 - 14 = 81
⇒ 594 + 3 - 14 = 81
⇒ 583 ≠ 81
3) ÷ and – 
⇒ 198 – 9 ÷ 27 + 3 × 14 = 81
⇒ 198 - (1/3) + 42 = 81
⇒ 239.66 ≠ 81
4) ÷ and +
⇒ 198 + 9 – 27 ÷ 3 × 14 = 81
⇒ 198 + 9 - 9 × 14 = 81
⇒ 198 + 9 - 126 = 81
⇒ 81 = 81
Hence, the correct answer is "option 4".

Logic followed here is:
When we move in series from left to right than we find circular ball and both straight lines are decreases simultaneously.

Therefore, the next image will be

Hence, the correct answer is "Option (4)".

The logic followed here is:

So, 'GPY' will replace the question mark in the given series.
Hence, the correct answer is "Option 2".

Statement:
I. All P are Q.
II. Some Q are T.
III. All T are D.
The least possible diagram for the given statements is as follows:

Conclusion:
I. Some Q are D → True (Because 'Some Q are T' and 'All T are D', so 'Q' that are 'T' are also 'D', so it is definitely true)
II. Some D are P → False (Because there is no direct relation between 'D' and 'P' so it is possible but not definite, so it is false)
III. Some P is T → False (Because there is no direct relation between 'P' and 'T' so it is possible but not definite, so it is false)
Hence, the correct answer is "Only conclusion I follows".

We can Calculate the number of rectangles as follows:

The required rectangles in the given figure are as follows:
ABHJ, JHFI, BCDG, GDEF, ABFI, BCEF, and ACEI.
So, the number of rectangles are 7.
Hence, the correct answer is 7.

The given pattern should definitely overlap with any one of the answers.
In option (A), (C) and (D), we can observe that the required figure is not hidden. 
In option (B), we can observe that the required figure is hidden which is shown below:

When the mirror is placed at the right-hand side of the figure, then the top and bottom part of the image remains the same, while the left and right side of the image will be interchanged in the mirror image i.e the image will flip horizontally.
Hence, the correct answer is:

We are given the following information in the problem:

54 R 11 P 99 Q 23 S 14
= 54 × 11 ÷ 99 + 23 −14
= 54 × (1/9)  + 23 −14  
= 6 + 23 −14
= 15

In dictionary words are written according to the alphabet series.
All letters are starting with ‘’L’’, so we will check the second letter of each word and try to write the words in the sequence.
2. Lamp
5. Listed
1. Locker
4. Longer
3. Lost
Thus, the correct order will be 25143.

According to the given condition, the opposite letter pairs are arranged to form a series.
The pairs of letters whose sum of the place value is 27 are opposite to each other.
For example, the place value of A is 1 and place value of Z is 26.
So, 1+26 = 27.
Similarly,
BY, CX, and DW are pairs of opposite letters. 
So, the next pair will be EV.
Hence, the correct answer is EV.

4² = 16
5² = 25
6² = 36
7² = 49
We can observe that second number of each group is square of the first number but in second group we can observe the difference. Thus, the odd pair is (5−24).

According to the given condition, we have to determine the relationship between Spoon, Fork, and Utensils.
Spoon and fork are part of utensils but spoon and fork both are different. Spoon and fork both are made up of metals but the main difference between spoon and fork is that the spoon is a utensil consisting of a small shallow bowl, oval, or round, at the end of a handle and fork is a piece of cutlery or kitchenware with two or more prongs and the part of the fork which we hold is called handle.
So, the best diagram which represents the relationship is

Hence, this is the correct answer.

We can observe the following relation,
3 × 7 × 2 = 42
Therefore,
4 × 5 × 6 = 120 
Thus, 120 is the correct answer.

No, extra word should be used in the words formation.
PAID word cannot be formed from the as the letter ‘’D’’ is not present in the word TRAMPOLINE.
Else all other words can be formed.

As we can in the following image

3×6 = 18
3×9 = 27
In the same manner, the answer will be
9×6 = 54
Hence, the correct answer is 54.

The place values of all the alphabets are given below,

Given code,

So, the pattern followed here is that all the letters are replaced by their opposite letters to get the required code.
So, FRAUD will be coded as

Hence, the correct answer is UIZFW.

Given:
ΔABC ~ ΔXYZ and Area ΔABC : Area ΔXYZ = 81 : 25. If AB = 18 cm, BC = 10 cm, CA = 15 cm,
Concept:
If two triangles are similar then, the ratio of the area of triangle is equal to the square of the ratio of any pair of the corresponding sides of the similar triangles.
Calculation:

Area Δ ABC/Area ΔXYZ = (AB/XY)² = (BC/YZ)² = (CA/XZ)²
81/25 = (15/XZ)²
⇒ 81/25 = (15 × 15)/(XZ)²
⇒ XZ² = (15 × 15 × 25)/(81)
⇒ XZ² = (5 × 5 × 25)/9
⇒ XZ = 25/3
∴ The side XZ is 25/3 cm.

Ratio of mixture of sugar and flour = 4 : 7
⇒ 4 + 7 = 11 unit
⇒ 11 unit = 22 kg
⇒ 1 unit = 2 kg
⇒ 4 unit = 2 × 4 = 8 kg
⇒ 7 unit = 2 × 7 = 14 kg
Quantity of sugar in the dough = 8 kg
Quantity of flour in the dough = 14 kg
Let quantity of flour added be x
According to the question
8/(14 + x) = 2/5
⇒ 40 = 28 + 2x
⇒ 2x = 40 – 28
⇒ x = 12/2
⇒ x = 6 kg
∴ Justine later on added 6 kg of flour.

Given:
Formula Used:
Average = Sum of Wages/Total workers
Calculations:
Sum of wages for T3 = W6 + W5 + W4 + W3 + W2 + W1 = 4 + 3 + 4 + 5 + 4 +3 = 23
Number of workers = 6
The average for T3 =  Sum of Wages/Total workers = 23/6
Sum of wages for T1 = W6 + W5 + W4 + W3 + W2 + W1 = 3 + 5 + 4 + 3 + 2 + 4 = 21
Number of workers = 6
The average for T1= Sum of Wages/Total workers = 21/6
Difference between them = Average for T3 - Average for T1 = 23/6 - 21/6 = 2/6 = 1/3
Hence, The Difference in average wages per worker for task T1 and task T3 is 1/3.

Given:
A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm.
Concept used:
Volume of sphere = 4/3πr³
Volume of cylinder = πr²h
Calculation:
Radius of sphere = 9 cm
Radius of wire = 0.3 cm  [As 1 cm = 10 mm]
According to the question,
Volume of sphere = Volume of cylinder
⇒ 4/3π9³ = π0.3²x
⇒ 4/3 × 729 = 0.32x
⇒ 4 × 243 = 0.09x
⇒ x = 10800 cm = 108 m
∴ The length of the wire is 108 m.

Given:
The polynomials are (x + 2)(3x² - 2ax + 3) and (2x - 1)(5x² - 3x + 2b)
HCF is (x + 2)(2x - 1)
Concept used:
HCF or Highest Common Factor is the greatest number which divides each of the two or more numbers.
Calculation:
HCF of the two polynomials = (x + 2)(2x - 1)
So, roots of x are (-2), 1/2
Now,
(2x - 1) is one of the factors of (3x² - 2ax + 3)
So,
f(x) = (3x² - 2ax + 3)
For x = 1/2
f(1/2) = [3 × (1/2)² - 2a × (1/2) + 3] = 0
⇒ [3 × (1/4) - a + 3] = 0
⇒ [3/4 - a + 3] = 0
⇒ (3 + 12)/4 = a
⇒ a = 15/4
Again,
(x + 2) is one of the factors of (5x² - 3x + 2b)
So,
f(x) = (5x² - 3x + 2b)
For x = - 2
f(-2) = [5 × (- 2)² - 3 × - 2 + 2b] = 0
⇒ [5 × 4 + 6 + 2b] = 0
⇒ [20 + 6 + 2b] = 0
⇒ 26 = - 2b
⇒ b = - (26/2)
⇒ b = - 13
Now,
(4a + 7b) = [4 × (15/4) + 7 × (- 13)]
⇒ 15 - 91
⇒ - 76
∴ The value of (4a + 7b) is - 76.