SSC Havaldar Session I Mock Test - 3 - SSC Havaldar MCQ

Initial number of balls = 90 + 110 + 150 + 50 = 400
Balls removed = 50% of 90 + 70% of 110 = 122
Remaining balls = 278

Hence, Option D is correct.

Let the numerator = x and denominator = y

y + 3 = 2y ⇒ y = 3

x +1= 3 ⇒ x = 2

∴ xy = 2 × 3 = 6

Step 1: Determine Sunny's Work Rate

• Sunny's Completion Time: 15 days to complete the work.
• Sunny's Work Rate:
  • Sunny can complete 1 work in 15 days.
  • Therefore, Sunny's work rate is 1/15 work per day.

Step 2: Calculate Bobby's Work Rate

• Bobby's Efficiency: Bobby is 60% as efficient as Sunny.
• Convert Efficiency to Fraction:
  • 60% = 60/100 = 3/5.
• Bobby's Work Rate:
  • Bobby's rate = (3/5) * (1/15) = 3/75 = 1/25 work per day.

Step 3: Determine the Number of Days Bobby Takes to Complete the Work

• Total Work: 1 work.
• Bobby's Daily Contribution: 1/25 work per day.
• Number of Days Required:
  • Days = Total Work / Bobby's Work Rate = 1 / (1/25) = 25 days.

Through O, draw a line l parallel to both AB and CD. Then
∠1 = 45° (alt. ∠S)
and ∠2 = 30° (alt. ∠S)
∴ ∠BOC = ∠1 + ∠2 = 45° + 30° = 75°
So, X = 360° – ∠BOC = 360° – 75° = 285°
Hence X = 285°.

Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
First number × Second number = HCF × LCM

Hence, Option B is correct.

We know that: 
LCM is the least common multiple of the given numbers whereas HCF is the highest common factor of those numbers.
Then, LCM is the multiplication of one common factor of the numbers and the other different factors of the numbers.
Write the LCM = 120 into factored form, that is
120 = 2 × 2 × 2 × 3 × 5
= 4(2 × 3 × 5)
⇒ 4 is the common factor of the numbers.
So, the HCF of three numbers is a multiple of 4.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
Therefore, 35 is not the multiple of 4, then 35 cannot be their HCF.

Product of two numbers = HCF × LCM
1280 = 8 × LCM
160 = LCM

The number of students who play both the games = (30 + 50 + 40)% – 100% = 20%
Hence, Option D is correct.

From the common explanation, we get B sits second to the left of D.
Hence, Option D is correct.
Final Arrangement:

Common explanation:
References:
Six person A, B, C, D, E and F sit around a triangular table.
One person sits at each corner of the table facing away from the centre while one person sits at the middle of each edge facing toward the centre.
Inferences:
So, we need to arrange as follows to accommodate the information as stated in the question,

References:
Three persons sit between C and D, who is not facing the centre.
Inferences:
From the above reference, we get two different cases:
Case 1:

Case 2:

References:
F sits third to the left of C.
A sits second to the left of E.
A is not an immediate neighbour of D.
Inferences:
So, from this case 2 will be eliminated as A is not an immediate neighbour of D.
Case 1:

Case 2: (Eliminated)

Hence, Case 1 is the final arrangement.

From Statement I: From this statement, we get the following inference:

All the vowels are coded as 3rd next letter as per English alphabetical series and the consonants are coded as 2nd previous letter as per English alphabetical series.

So, the code of ‘HEALTHY’ is ‘FHDJRFW’.

Clearly, Statement I alone is sufficient to answer the question.

From Statement II: From this statement, we get the following inference:

All the vowels are coded as 3rd next letter as per English alphabetical series and the consonants are coded as 2nd previous letter as per English alphabetical series.

So, the code of ‘HEALTHY’ is ‘FHDJRFW’.

Clearly, Statement II alone is sufficient to answer the question.

Therefore, the question can be answered using either statement I alone or statement II alone.

Hence, option C is the correct answer.

Following the common explanation, we get “Y sits near A”.
Hence, option C is correct.
Final Arrangement:

Common Explanation:
References:
1. Two people are sitting between A and Z.
2. C sits fourth to the right of Z.
3. The number of people sitting to the right of A is the same as the number of people sitting to the left of Z.
4. The number of people sitting between A and C is the same as the number of people sitting between X and C.
5. X is an immediate neighbour of D, who sits on one of the ends.
6. The number of people sitting between D and C is the same as the number of people sitting between C and Y.
7. At most 25 people are sitting in a row.
Inferences:
From reference 1, we get two possible cases.
From reference 7, case2 was eliminated.
Hence, Case 1 is the final arrangement.

If we see diagonally we will get 11 22 31 and the next diagonal series is 12 21 32. Similarly the next diagonal series after 9 12 21 is 8 13 20.

As the foot of the 'Horse' is called 'Hoof' in the same way the foot of the 'Eagle' is called 'Claw'.

As the result of Race is Fatigue similarly the result of Fast is Hunger.

From the common explanation, we get R faces L.
Hence, Option A is correct.
Final Arrangement:

Common Explanation:
References:
There are two persons between P and K, who is to the right of P.
R is adjacent to K and O.
M, who is the immediate right of K, is second to the left of P.
Inferences:
From the above reference, we get the final arrangements:

Preparing the family tree using the following symbols:

A possible tree diagram will be:

Praveena’s father’s sister’s mother is the grandmother of Sandhya.

Hence, "Grandmother" is the correct answer.

As Wick is a part of Candle similarly Wheel is a part of Bicycle.

The correct answer is 'Door' because it is the object most commonly associated with the actions of:

• Locking - A door can be locked for security.
• Shutting - A door can be shut to close it.
• Fastening - A door can be fastened to ensure it is securely closed.

While a window can also be shut or locked, the action of fastening is less commonly associated with windows. Iron and Block are not directly related to these actions.

To solve the analogy problem where the pattern needs to be identified, let’s break it down step-by-step:

The analogy given is: 16 : 56 :: 32 : ?

We need to find the relationship between the numbers 16 and 56 and then apply that relationship to 32 to find the missing number.

1. Find the relationship between 16 and 56:

   • Step 1: Check the operations or patterns. Consider possible operations like addition, subtraction, multiplication, or division.

   • Step 2: Test if multiplication could be a pattern:

     16×3.5=56

     This works as:

     16×3.5=56

     Thus, multiplying by 3.5 seems to be the pattern.

2. Apply the same pattern to 32:

   32×3.5=112

   Therefore, according to this pattern, the number that replaces the question mark should be 112.

3. Verify the other options:

   • 96: This is much larger than expected.
   • 112: Also too large.
   • 121: Similarly, too large.
   • 128: While close, it’s not the result from our multiplication pattern.

Hence, the correct answer is:

112

From the final arrangement, we can say that Q sits second to the right of the one who sits opposite to R.
Hence, Option C is correct.
References:
Q sits second to the right of P.
Inferences:
From the above reference, we get two different cases:
In case 1, P sits at the corner or in the middle of the side of the table.

References:
R is not an immediate neighbor of P.
R faces inside.
R sits third to the left of W.
Inferences:
From the above references, we get different cases for R, in case 1(a) in which R faces P and in case 1(b) R faces Q.

References:
T sits third to the left of U.
V sits second to the left of U.
Inferences:
So, from this case 1(b) and case 2 will be eliminated as there is no possible place for V in these cases after placing U and T. Hence, we get our final arrangement in which S sits on the immediate left of P and V sits on the immediate right of R.
Final arrangement: