SSC CGL (Tier II) Practice Test - 8 - SSC CGL MCQ

i - e = 108° ...(i)

i + e = 180° ...(ii)

So, from equation (i) and (ii)

i = 144°

From polygon formula, if n is the number of sides of polygon, then

(n - 2)180° = 144°n

So, n =

So, number of sides of polygon = 10

Height of the building from the head of Mohit = 60 - 1.8 = 58.2 m

Case I: When the angle of elevation is 45°

Distance from building (AC) = 58.2 m

Case II: When the angle of elevation is 60°

Distance from the building (BC) =

Distance covered by Mohit (AB) = AC - BC =

= (19.4 × 3) - (19.4 × √3)

= 19.4 (3 - √3)m

RT = 12

Solving which we get:

R = 3% (T = 4 years)

The rate of interest is 3% in this situation.

Condition 2:

P = Rs. 20,000

R = 3%

T = 2 years annually compounded interest

Formula used:

A = P [1 + (R/100)]t

A = 20,000(1 + 0.03)²

A = 20,000(1.03)²

A = Rs. 21,218

Since the first card is replaced, the pack will again have 52 cards. So, the probability of drawing a King = 4/52 = 1/13

Both the events are independent, hence the probability of drawing both cards in succession = 1/13 x 1/13 = 1/169

Growth of the sales of drinks from Monday to Tuesday = 45 - 30 = 15 thousand

Difference between the growths = 15 - 10 = 5 thousand

Hence, this is the required result.

Share that younger son gets = Rs. (1,20,000 - x)

According to the question,

On solving, we get

x = Rs. 62,400

Share that younger son gets = Rs. (1,20,000 - 62,400) = Rs. 57,600

Volume of the cylinder = πr₁²h = 3.14 × 8 × 8 × 2 = 402 cm³

Let radius of the cone = r

So, from question,

Thus, r² = 64

Hence, r = 8 cm

= (80 – 16)% = 64%

Therefore,

14x + 2 = 30

14x = 28

x = 2

Lowest sales of drinks = 15,000

Difference = 65,000 - 15,000

50,000

Highest sales of food = 50,000

Lowest sales of food = 30,000

Difference = 50,000 - 30,000 = 20,000

Ratio = 50,000/20,000

= 5 : 2

Thus, the ratio is 5 : 2

Hence, this is the required result.

CP of other chair = Rs. (900 - x)

4/5x + 5/4 (900 - x) = 900 + 90

4/5x + 1125 - 5x/4 = 990

9x/20 = 135

x = 135 × 20/9 = Rs. 300

CP of the lower priced chair is Rs. 300.

sin 59° cos 31° + cos 59° sin 31° = sin (59 + 31) = sin 90°

cos A cos B - sin A sin B = cos (A + B)

cos 20° cos 25° - sin 20° sin 25° = cos (20 + 25) = cos 45°

sin 90° ÷ cos 45° = 1 ÷ 1/√2 = √2

AB = 12 cm, AC = 15 cm

Triangle ADE and ABC are similar (By AA)

Let side of the square or DB or BF = x cm.

So, AD = (12 - x) cm, FC = (9 - x)

After putting the values above, we get side of the square = 36/7 cm

Hence, area of the square = (36/7)²

(4 + 3²) × 5 = 65

(4 + 5²) × 5 = 145

(4 + 7²) × 5 = 265

(4 + 9²) × 5 = 425

(4 + 11²) × 5 = 625

(4 + 13²) × 5 = 865

Or X = 1/((1 + X + 1)/(1 + X))

Or X = (1 + X)/(2 + X)

Or X(2 + X) = 1 + X Or X² + X - 1 = 0

Or X = (-1 - 5^1/2)/2 or (-1 + 5^1/2)/2

y = 2/(2 + (1/(1 + y)))

Or y = 2/((2y + 2 + 1)/(1 + y))

Or y = (2y + 2)/(2y + 3)

Or y(2y + 3) = 2y + 2

Or 2y² + y - 2 = 0

y = (-1 - 17^1/2)/4 or (-1 + 17^1/2)/4

Now, taking X = (5^1/2 - 1)/2 and y = (17^1/2 - 1)/4, the value of X + y is obtained as the value that appears in answer option (2).

By taking other possible values for X and y, values of X + y are obtained that exist in none of the other answer options.

Hence, answer option B is correct.

Given:

The average of 5 numbers is 4.25

The average of two of them is 4.1

The average of the other two is 3.62

Formula used:

Total Sum = Average × Number of terms

Calculation:

Total Sum of 5 numbers = 4.25 × 5

= 21.25

Sum of first two numbers = 4.1 × 2

= 8.2

Sum of other two numbers = 3.62 × 2

= 7.24

Remaining number = Total Sum of 5 numbers - Sum of first two numbers - Sum of other two numbers

= 21.25 - 8.2 - 7.24

= 5.81

Answer is 5.81.

Given:

the sales tax reduced from and

Marked Price = Rs. 7200

Formula used:

Discount = Discount % × Marked Price

Calculation:Discount 1 =

Discount 2 =

Difference in discounts =

= 11 × 12

= 132

Answer is Rs. 132.

Calculation:

x² + y² = 41

x⁴ - y⁴ = 369

(x² + y²) (x² - y²) = 369

41 (x² - y²) = 369

(x² - y²) = 9

(x + y) (x - y) = 9

Now, check from options,

x = +5 or -5 and y = +4 or -4

Hence, option 4 is correct.

Calculation:

Compound Interest = 340

Time = 2 years

Rate of interest = (25/2)% = 1/8

Let principal be 64

For First year, Simple and Compound Interest are same, here it is 8.

Second year, Compound interest = 8 + 1 = 9

Total Compound Interest = 8 + 9 = 17

Let compound interest be 17x

17x = 340

1x = 20

64x = 1280

For Simple interest, effective rate = 2 × 25/2% = 25%

Simple Interest = 25% of 1280 = 320

Hence, option 1 is correct.

Given:

Speed of A = 3 × Speed of B ... (1)

Speed of B = 4 × Speed of C ... (2)

Concept used:

Speed = Distance / time

For constant distance, clearly speed is inversely proportional to time.

Calculation:

Using (1) and (2),

Speed of A = 3 × 4 × Speed of C

Speed of A = 12 × Speed of C.

Speed of A / Speed of C = 12 : 1.

Ratio of time taken will be inverse to the ratio of speeds of A and C as the distance is constant.

Time taken by A / Time taken by C = 1 : 12.

Time taken by A to cover a distance which is covered by C in 96 minutes

Time taken by A = 96 / 12

Time taken by A = 8 minutes.

∴ The time taken by A will be 8 minutes.

Note - In the official answer key, the answer was given as "12'' but in the calculation it was found to be "8". So, the option has been changed.

Given:

Time taken by A to complete the school project = 45 days

B is 40% more efficient than A

Concept used:

If X is y% more efficient than Y, and time taken by X to complete the work is x units, time taken by Y to complete the work

Calculation:

As B is 40% more efficient than A and efficiency is inversely proportional to time taken, time taken by B to complete the same work

∴ Time taken by B to complete the work is days.

Given:

Height of lead cylinder = 45 m = 4500 cm.

The radius of the cylinder = 18 cm.

Diameter of the bullet = 4.5 cm.

Concept used:

The volume of sphere = (4 / 3) πr³

where r = radius of the sphere

Volume of cylinder = πr'2h

where

r = radius of the cylinder

h = height of the cylinder

Calculation:

Radius of sphere = diameter / 2 = 4.5 / 2 = 2.25 cm.

Let the number of bullets be N.

N × Volume of sphere = Volume of cylinder

N × (4 / 3) πr³ = πr²h

N × 4r³ = 3r'²h

N × 4 × (2.25)³ = 3 × (18)² × 4500

N = 96000.

∴ 96000 bullets can be made from the lead cylinder.

Note - In the official answer key, the answer was given as "900'' but in the calculation, it was found to be "96000". So, the option has been changed.

Given:

Profit% for selling price Rs. 256000 = 28%

Concept used:

Profit% = [(SP - CP) / CP] × 100

where

SP = Selling price

CP = Cost price

Calculation:

For 28% profit, SP = Rs. 256000

Profit% = [(SP - CP) / CP] × 100

28 × CP = 25600000 - 100 × CP

128 × CP = 25600000

CP = 25600000 / 128

CP = 200000.

For 16% profit,

Profit% = [(SP - CP) / CP] × 100

32000 = SP - 200000

SP = 232000.

∴ The selling price will be Rs. 2,32,000.

Given:

Radius of cylinder (r) = 21 cm.

Curved Surface Area (CSA) of cylinder = 5280 cm².

Formula used:

Curved Surface Area (CSA) of cylinder = 2πrh

where

r = radius of cylinder.

h = height of cylinder.

Volume of cylinder = π × r² × h

Calculation:

CSA of cylinder

CSA = 2πrh

5280 = 2 × (22 / 7) × 21 × h

5280 = 2 × 22 × 3 × h

h = 5280 / 132

h = 40 cm.

Volume of cylinder

= π × r² × h

= (22 / 7) × 21 × 21 × 40

= 22 × 21 × 3 × 40

= 55440 cm³.

∴ The volume of the cylinder is 55440 cm³.

Given:

Perimeter = 540 m

Ratio of sides = 5 : 12 : 13

Calculation:

Let the lengths be 5x, 12x and 13x

Perimeter of triangle = 5x + 12x + 13x = 30x

30x = 540

x = 18

This is a right angled triangle as the sides are 5x, 12x and 13x satisfy pythagoras theorem.

Let base be 5x and height be 12x.

Area of right angled triangle = 1/2 × base × height

= 1/2 × 5x × 12x = 30x²

Put the value of x, we get

Area = 30x² = 30 × (18)² = 9720 m²

Hence, option 3 is correct.

Given:

Length of bridge (l) = 1 km

Length of train (l') = 1/2 km = 0.5 km

Time taken by train to cross the bridge (t) = 2 minutes = (2 / 60) hour = (1 / 30) hour.

Concept used:

Speed of train = (length of bridge + length of train) / time

Calculation:

Speed of train

=

= 1.5 × 30

= 45 km/hr.

∴ Speed of train is 45 km/hr.

Given:

Table shows the expenses of different departments of a company.

Concept used:

Rules of addition and reading a given table.

Calculation:

Total expenditure of Human Resource, Marketing and Information Technology is (in thousands)

= Expenditure of Human Resource + Expenditure of Marketing + Expenditure of Information Technology

= [(20 + 15 + 10 + 32) + (45 + 50 + 40 + 35) + (80 + 70 + 55 + 43)]

= [77 + 170 + 248]

= 495.

∴ Total expenditure of Human Resource, Marketing and Information Technology is 495000.

Given:

Total number of Laptops sold : 2400

Calculation:

Total number of Laptops sold = 100%

100% = 2400

1% = 24

Number of laptops sold in September is 25%,

= 25 × 24

= 600

Ratio of Brand A and Brand B laptop in September is 3 : 2

3 units + 2 units = 600

5 units = 600

1 unit = 120

Brand B = 120 × 2

= 240

25% of the laptops sold by brand B during the month September were sold at a discount,

Then, 75% of laptops were sold without discount,

= 75% × 240

= 180 laptops

Answer is 180.

Given:

AB is a line segment of length 2a.

Concept:

Pythagoras theorem: In an right - angled triangle

Hypotenuse² = Base² + Perpendicular²

Fomula used:

(a - b)² = a² - 2ab + b²

(a + b)² = a² + 2ab + b²

Calculation:

We know that, two circles touch each other externally if

Distance between their centres = Sum of their radii

⇒ OL = r + a/2 -----(1)

⇒ OM = CM - OC

⇒ OM = a - r -----(2)

⇒ LM = a/2 -----(3)

In △OML, using Pythagoras theorem

⇒ (OL)² = (OM)2 + (LM)²

Using the formula disucssed above

∴ The value or r is a/3.

7. Imperfection

4. Impermanent

1. Impersonal

3. Impersonate

6. Impertinence

2. Impertinent

5. Imperturbable

Hence, the correct answer is "7, 4, 1, 3, 6, 2, 5".