SSC Havaldar Session I Mock Test - 7 - SSC Havaldar MCQ

for a given AP, the Nth term is:
a(n) = a + (n-1) x d
a(17) = a + (17−1) x d
a(17) = a + 16 x d
a(10) = a+9(d)
a(17) – a(10) = 7
(a + 16 x d) − (a + 9 x d) = 7
7 x d = 7
d = 1

25% of A + 50% of B = 90% of B
25% of A = 40% of B

62.50% of A = B
Hence, Option D is correct.

Let, the measure of the required angled be A°.
Then, measure of its complement = ( 90 – A )° measure of its supplement = (180 – A)°
According to question,
6(90° – A) = 2(180° – A) –12°
⇒ 540° – 6A = 360° – 2A – 12°
⇒ 4A = 192°
⇒ A = 48°.

Let AB be the kite and AC be the level ground
So that BC - AC.
At that point, ∠BAC = 60°and BC = 75m. Let AB = x meters.
Presently AB/BC = coses60° = 2/ √3
=> x/75 = 2/√3 => x = 150/√3 = 150 * √3/3 = 50 √3m.
∴ Length of the string = 50 √3m.

HCF = 12
Numbers = 12x and 12y
where x and y are prime to each other.
∴ 12x × 12y = 2160

= 15 = 3 × 5, 1 × 15
Possible pairs = (36, 60) and (12, 180)
Hence , Number of such possible pairs is 2.

Let AB be the building and the man is standing at A.

When the car is 200m away from the building, the angle of depression is 60°

tan 60° = BD/AB = √3

⇒ 200/AB = √3

⇒ AB = 115.47 m

⇒ tan30° =BC/AB = x/115.47 = 1/√3

⇒ x = 66.67

Now, the car travels distance CD in 8 seconds

 CD = BD – BC = 200 – 66.67 = 133.33 m

 Speed = 133.33/8 = 16.67 m/s

r% of r = 49
r² = 49 × 100
r = 7 × 10 = 70
Hence, Option B is correct.

18% of x = 13.50% of y

50% of x = 37.50% of y
Hence, Option D is correct.

Let the distance be d km.
The time taken by Ram is d/6 hours, and the time taken by Bharat is d/10 hours.
The difference in their times is given by (d/6) - (d/10) = 30/60 hours (since 30 minutes is 0.5 hours).
Solving this equation, we find d = 7.5 km.
Therefore, both Ram and Bharat travel a distance of 7.5 km.

As we know that the angles are supplementary so sum of angles will be 180 degree.
Let us assume that the ratio factor is r.
According to question,
Angles are supplementary and have a ratio of 1:4.
r + 4r = 180
⇒ 5r = 180
⇒ r = 180/5
⇒ r = 36

AB || CD and t transversal intersects them at E and F
∠BEF + ∠EFD = 180° (co-interior angles)

⇒ ∠FEG + ∠EFG = 90°
In Δ GEF
∠EGF + ∠FEG + ∠EFG = 180°
∴ ∠EGF + 90° = 180°
∴ ∠EGF = 90°.
The above result can be restated as :
If two parallel lines are cut by a traversal, then the bisectors of the interior angles on the same side of the traversal intersect each other at right angles.

The A.P. is -3, -1/2, 2 …
Where a = – 3
d = a(2) – a(1) = (-1 / 2) - (-3)
⇒ (-1 / 2) + 3 = 5 / 2
a(n) = a + (n−1) x d
a(11) = 3 + (11-1) x (5 / 2)
a(11) = 3 + (10) x (5 / 2)
a(11) = -3 + 25
a(11) = 22

Hence, Option D is correct.

x : y = 75 : 100

Hence, Option C is correct.

Hence, Option B is correct.

As 24:60 = (2/5)

Similarly, (120/300) = (2/5)

The Symbol table is as follows:

1) Rajiv is the brother of Atul.

2) Atul is the son of Sonia.

Implies, Rajiv is also the son of Sonia.

3) Sonia is the sister of Sunil.

Implies, Sunil is the maternal uncle of Rajiv and Atul.

Hence, Rajiv is the "son" of Sonia.

∴ STOLL → $2@33
Hence, option B is correct.

From the final arrangement, we get T faces Q.
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:

As magnet has poles similarly battery has terminals.

From the common explanation, we get G sits third to the right of M.

Hence, Option C is correct.

Final Arrangement:

Common Explanation:

References:

J sits fourth to the right of O and N sits second to the left of J.

Only H sits between J and G.

Inferences:

From the above references, we get

References:

Only D sits between G and C

G is not an immediate neighbour of J but fifth to the right of I.

M, who sits exactly in the middle, is second to the right of I.

Five persons sit between L and J.

Inferences:

From the above references, we get

References:

E is not an immediate neighbour of N.

Inferences:

From the above reference, we get the final arrangement:

Hence, option A is correct.

Checking Statement I:

Since there is no information about Monika's rank. Therefore, Rahul's rank cannot be determined.

Clearly, Statement I alone is not sufficient to answer the question.

Checking Statement II:

Aditi's rank and Monika's rank is not given. Therefore, Rahul's rank cannot be determined.

Clearly, Statement II alone is not sufficient to answer the question.

Checking Both statement I and II:

Ranks are not known for any of them. Thus, Rahul's rank cannot be found.

Clearly, Both statements I and II  is not sufficient to answer the question.

Hence, Option D is correct.

From the final arrangement, we get “Q sits second to the right of the one who sits immediate left of M.
Hence, Option C is correct.
References:
O sits 3^rd to the right of N.
One who sits just behind O is to the immediate right of E.
Inferences:
From the above reference, we get the following cases:

References:
B is neither at any of the extreme ends nor sits exactly behind O.
The number of people sitting between C and E, is the same as the number of people sitting between E and B.
Inferences:
From the above reference, we get the following cases:

References:
D doesn’t sit at any of the extreme ends.
P sits on a seat which is exactly ahead of A.
M is not exactly ahead of E.
Inferences:
From the above reference, we get the following cases:
Case 1: Position of D cannot be fixed, thus this case is eliminated.
​​​​​​​
Case 2: We get the final arrangement as below:

Checking Statement I:
Using the above references, we get the following arrangement:

Since there is no information about the position of Bhanu so we cannot find the person who sits on the immediate right of Bhanu.

Hence, data in statement I alone is not sufficient.
Checking Statement II:
Using the above references, we get the following arrangement:

Clearly, Prakash sits on the immediate right of Bhanu.

Hence, data in statement II alone is sufficient.

Hence, Option B is correct.

As per the given information;

Hence, Rima is in South direction from her starting point.