SSC MTS Mock Test - 2 - SSC MTS / SSC GD MCQ

Given:
If 20% of A is added to 20% of B, the answer is 40% of B.

According to the question, we have

∴ The 100% of A is equal to 100% of B.

Given,
The speed of the current is 1.25x km/hr.
And the speed of a boat in still water is 12 km/hr more than that of current.
According to the question,
The speed of a boat + The speed of the current = 

Given:
Radius of wire =70 cm
According to the question,
Circumference of circle = perimeter of rhombus
We know that,
Circumference of circle =2πr
Perimeter of rhombus =4× side
Circumference of circle = 2 x (22/7) x 70
= 440 cm
∴ Side of rhombus = 440/4 = 110cm

Given,
Selling price = Rs. 72
Discount = 10%

Where, SP = Selling price, MP = Marked price, D = Discount%
Let marked price = Rs. x

On discount of 25%

∴ If the discount rate is 25% then the selling price of the product is Rs.60.

Given:
Rays P || Q || R || S and the ray l || m.
Calculation:
We are given that, ∠ECA = 60°
So, ∠lBQ = 60° (Opposite angles in a parallelogram are equal)
Now, ∠lBQ + θ₁ = 180° (Linear pairs)
⇒ θ₁ = 180° - 60°
⇒ θ₁  = 120°
Now, we know that vertically opposite angles are equal
∴ ∠CAD = θ₂ = 120°
∴ θ₁  = 120° and  θ₂ = 120°

Given expression:


∴ The value of ? is 4.

Given:
P= Rs. 15000
A= Rs. 18600
T=4 years
Where,
A is amount,
P is principle,
SI is simple interest,
N is total number of years,
R is rate,
We know that:

∴ Rate of interest is 6%.

Let the time both of them together will take to make the carpet be x days.
Time taken by Rashmi alone =x+3 days
Time taken by Pallavi alone =x+12 days
One day work when they both work together = Sum of their individual per day work

Time taken by Rashmi to make carpet alone = 6 + 3 = 9 days

Given,
Man bought 13 articles = at Rs. 70 each
15 articles = at Rs. 60 each
12 articles = at Rs. 65 each
As we know,

= 2590/40
= Rs. 64.75

Total number of female employees of companies = 55000 + 30000 + 25000 + 40000 + 35000 = 185000
Total number of male employees of companies = 40000 + 70000 + 45000 + 55000 + 30000 = 240000
Required difference = 240000 - 185000 = 55000

Given:
Amount (A) = ₹3,400
Rate of interest (R) = 12% p.a.
Time (T) = 3 years.
Concept used:
Simple Interest, SI = (P × R × T)/100
Amount = P + SI
where
P = Principal amount
R = Rate of interest per year
T = Time in years
Calculation:
Let the principal amount be ₹P.
According to the concept,
P + (P × 12 × 3)/100 = 3400
⇒ (100P + 36P)/100 = 3400
⇒ 136P = 340000
⇒ P = 340000/136
⇒ P = 2500
∴ The sum is ₹2500.

Given:
Total mixture of milk and water = 35 litres
The ratio of milk and water = 4 : 1
Water added in the mixture = 7 litres
Calculation:
Quantity of milk in the mixture = (4/5 × 35) litres
⇒ 28 litres
Quantity of water in the mixture = (1/5 × 35) litres
⇒ 7 litres
If 7 litres of water is added, the new mixture of water = (7 + 7) litres
⇒ 14 litres
Now,
New ratio of milk and water = (28 : 14)
⇒ 2 : 1
∴ The required ratio of milk and water is 2 : 1

Given:
Markup% = 45%
Discount% = 21%
Formula used:
Discount%= (MP - SP)/MP × 100
Selling Price (SP) = Marked price (1 - Discount%/100)
Profit% = (SP - CP)/CP × 100
Calculation:
Let the cost price be Rs. x
⇒ Marked price = x + (45/100) × x = 1.45x
⇒ SP = 1.45 × (1 - 21/100)
⇒ SP = 1.45 × (0.79) = 1.1455x
Now Profit%
⇒ Profit% = (1.1455x - x)/x × 100
⇒ Profit% = 0.1455 × 100 = 14.55% ~ 15%
∴ The Profit% is 15%.

Given:
Average weight of P,Q and R = 52kg 
Average weight of P and Q = 46 kg 
Average weight of Q and R = 47 kg 
Formula used:
Average = Sum of values/Number of values 
Calculation:
Here, average weight of P,Q and R = 52 kg 
⇒ Sum of wt. of  P,Q and R = 52 × 3 = 156 .......(1)
Also, average weight of P and Q = 46 kg 
⇒ Sum of  wt. of P and Q = 46 × 2 = 92  ............(2)
Average weight of Q and R = 47 
⇒ Sum of weight of  Q and R = 47 × 2 = 94 ......(3)
Now, add eq(3) + eq(2)
Sum of  .P + Q + Q + R = 92 + 94  = 186...........(4)
Now, subtract eq(4) - eq(1),we get 
Weight of Q = 186 - 156 = 30 kg
Hence, the weight of Q is 30 kg .

Given:

Calculation:

Hence, the correct answer is option 4).

Given:
Distance = 2.5 km
Time = 4 minutes 10 seconds
Formula used:
Speed = Distance / Time 
Calculation:
Distance = 2.5 km
= 2500 m (1 km = 1000 m)
Time = 4 minutes 10 seconds
= (4 × 60 + 10) seconds (1 minute = 60 seconds)
= 250 seconds
Speed = 2500/250 m/s
= 10 m / s
Now, time for the distance of 6 km at the same speed (6 km = 6000 m)
10 = 6000/time
Time = 600 seconds
= 10 minutes
Hence, the correct answer is option (2).

Formula used:
(M₁ × D₁ × H₁)/W₁ = (M₂ × D₂ × H₂)/W₂
Where, M → Man, D → Day, H → Hour, W → Work
Calculation:
Let the total number of days required be x
M₁ = 2, D₁ = 2, W₁ = 2 
M₂ = 4 × D₂ = x, W₂ = 4
Now, A/Q
(2 × 2)/2 = (4 × x)/4
⇒ x = 2 days

Given
Raj started the business = Rs. 60000 
Ken started the business = Rs. 1,00,000 
Formula 
Investment = capital × time 
Profit ratio is equal to investment ratio
Calculation 
Raj's Investment for 6 months = 60000 × 6 = 3,60,000
Ken's Investment for 12 months = 1,00,000 × 12 = 12,00,000
⇒ Investment Ratio (Raj : Ken) = 3,60,000 : 12,00,000 = 3 : 10 
⇒ Profit Ratio = 3 : 10 
⇒ Total Profit = 52000
⇒ 13x = 52000 
⇒ x = 4000 
⇒ profit Share of Raj = 3 × 4000 = Rs. 12000 
∴ The profit share of Raj is Rs. 12000.

Given:
the winner secured 85% of the total votes cast and wins by a majority of 5600 votes
Calculation:
let 100% be the total votes cast
the winner secured 85% of the total votes cast,
Winning Candidate = 85%
Losing Candidate = 15%
Winning Candidate wins by a majority of 5600 votes,
Winning Candidate - Losing Candidate = 5600
85% - 15% = 5600
70% = 5600
1% = 80
Losing Candidate got 15%
15% = 15 × 80
= 1200 votes
Answer is 1200.

Given:
Total number of cars sold in five months = 5400
Calculation:
According to the Question,
Total Cars Sold in Five months (100 %) = 5400
∴ 1% = 5400 / 100
⇒ 54
Total number of cars sold in January (24%) = 54 × 24
⇒ 1296
Total number of cars sold in April (28%) = 54 × 28
⇒ 1512
Total number of cars sold in January and April = 1296 + 1512
⇒ 2808
Total number of cars sold in May (12%) = 54 × 12 = 648
Difference of (January and April) - May = 2808 - 648
⇒ 2160
2160 Cars more than sold in January and April From May.

So, (B) is the correct figure.

The least possible Venn diagram for the given statements is as follows,

Conclusions:
I. No book is a diary → False (It is possible but not definite, as there is no direct relation between book and diary Therefore it is possible but not definite).
II. All diaries are books → False (It is possible but not definite,as there is no direct relation between book and diary Therefore it is possible but not definite)
III. No diary is a novel → True (No novel is a diary, imply that no diary is a novel)
Therefore, the correct answer is only conclusion III follows.

According to the given information:
1.12.91 is the first Sunday of December 91.
Sunday +2 days = Tuesday
Thus, 1.12.91+2 days = 3.12.91
Thus, the first Tuesday of December 91 = 3.12.91
The day of a week repeats after every 7 days.
Fourth Tuesday will be after 3 weeks (3×7 = 21 days)
3.12.91+21 days = 24.12.91

The series follows following pattern:
⇒ 11+2.5×1 = 13.5
⇒ 13.5+2.5×2 = 18.5
⇒ 18.5+2.5×3 = 26
⇒ 26+2.5×4 = 36
∴ The missing term in the series is 26.

The given sequence is a combination of two series :
I. 2,9,6,13,? and II, A,B,C,D
The pattern in (I) is : 
So, the missing term is 10.

1) L sits fourth to the right of K who sits at an extreme end.

2) Two persons sit between L and M.

3) J sits adjacent to O and M.

4) Three persons sit between J and N.

5) Q is an immediate neighbour of L and N.
6) K is not a neighbour of P.

‘P’ sits at the extreme right position.

After considering the position of letters in the English alphabet "COMB" can be written as:

Similarly, "GOAT" can be written as:

So, HQDX is the correct answer.

Figure (3) of answer figure i.e.,  will continue the same series as established by the five Problem Figures.
In each step, element at the upper-right position gets enlarged, inverts vertically and reaches the lower-left corner; the existing element at the lower-left position, is lost and a new small element appears at the upper-right position.

When the transparent figure (X) with a design and a dotted line is to be folded along the dotted line the figure will appear as the figure (B). 

Given:
The present age of Prakash and Quadir = 3 ; 4
Calculation:
Let the present age of Prakash and Quadir be 3x and 4x 
According to the question,

⇒ 21x - 42 = 20x - 30
⇒ 21x - 20x = 42 - 30
⇒ x = 12
Present age of Quadir = 4x = 4 × 12 = 48 years
∴ The present age of Quadir is 48 years.