Maths & Logical Reasoning Test - 8 - SSC CGL MCQ

Given:

Concepts used:

Minimum = Lowest total sales of the vehicles

Calculation:

Total sales of bike in all 5 years = (30 + 32 + 10 + 50 + 40) thousands

⇒1,62,000

Total sales of car in all 5 years = (20 + 35 + 28 + 40 + 27) thousands

⇒ 1,50,000

Total sales of bus in all 5 years = (45 + 50 + 35 + 42 + 20) thousands

⇒ 1,92,000

Total sales of bicycle in all 5 years = (50 + 21 + 34 + 33 + 60) thousands

⇒ 1,98,000

Total sales of auto rickshaw in all 5 years = (14 + 25 + 65 + 80 + 34) thousands

⇒ 2,18,000

Minimum = Lowest total sales of the vehicle in all years

⇒ Minimum sales = Sales of car = 1,50,000

∴ Minimum sale happened for cars when calculated for 5 years.

Given:

= a

Calculation:

= a

⇒ - 3 = a - 3

⇒ = a - 3

⇒ = a - 3

⇒ = 3 - a

∴ The value of will be 3 - a.

Calculation:

Let, the cost of the manufacturer = m

According to the question,

⇒ m × 1.18 × 1.2 × 1.25 = 35.4

⇒ m × 1.77 = 35.4

⇒ m = 20

∴ The cost of the manufacturere is Rs. 20.

Given:

Water is flowing at the speed of 5 m/sec through a pipe having 7 cm as its radius of cross section

Tank with base area is (3 × 5) m² and height is 1.54 m

Formula used:

Volume of a cuboid = Length × breadth × height

Volume of a cylinder = πr²h

Calculation:

Volume of the tank = 3 × 5 × (154/100)

= 231/10 m³

let t be the time it will fill the tank

Volume of the cylindrical pipe that fills the tank in t seconds = πr²h × t

= (22/7) × 0.07 × 0.07 × 5 × t ( 7 cm = 0.07 m )

(231/10) m³ = (22/7) × (7/100)× (7/100) × 5 × t

= t

t = 300 seconds

t = 5 min

Answer is 5 min.

Additional Information

Curved surface area of the cylinder = 2 π r h

Total surface area of the cylinder = 2 π r (h + r) [r is radius and h is height]

GIVEN:

tanθ + 3cotθ = 2√3 Where ,0º <θ <90º

FORMULA USED :

hypotenuse² = perpendicular² + base² where , hypotenuse =h , perpendicular =p , base =b

tanθ = p/b

cosecθ =h/p

cosθ = b/h

tanθ = sinθ/cosθ
cotθ = cosθ/ sinθ

CALCULATION :

⇒ tanθ + 3cotθ = 2√3

Now, /1

⇒ p = √3, , b= 1

⇒ h² = p² + b²

⇒ = (3+1) =4

⇒ h² = 4

⇒ h= 2cm

Now, the value of = 4/3.

∴ The required value is 4/3.

Given:

5% of 50% of 500

Calculation:

5% of 50% of 500

⇒ ( × × 500)

⇒ = 12.5

∴ The required value is 12.5

Calculation:

Let the price of sugar be 1000 Rs/kg.

∴ Cost price of 900 g sugar = Rs. 900

Selling price of 900 g sugar is Rs.1000 because he 900 g sugar as 1 kg.

Profit percentage = (100/900) × 100

⇒ 11(1/9)%

Given:

Six boys can complete a piece of work in 42 hours.

Calculation:

According to the question,

⇒ 6 x 42 = 14 x H

⇒ H = 6 x 3 = 18 hours

∴ In 18 hours, 14 boys can complete the same piece of work.

Given:

P and Q can complete a work in 14 days and 21 days, respectively.

They started doing the work but after 4 days

Q alone completed the remaining work.

Calculation:

Efficiency (work/day) Days Total Work

42/14 = 3 unit/days P -----> 14

42 = LCM of (14, 21)

42/21 = 2 unit/days Q -----> 21

One day work of P & Q = 3 + 2 = 5 unit

4 days work of P & Q = 5 × 4 = 20 unit

Remaining work = 42 - 20 = 22 unit

Time taken by Q to complete the required work = 22/2 = 11 days

Total time taken = (4 days work of P & Q) + 11 days work of Q

∴ The required time is 15 days.

Let the cost price of 1kg of sugar be Rs. 100

⇒ Then cost price of 845g of sugar = (100/1000) ⨯ 845 = Rs. 84.5

If she adds 13.34% impurities then her cost price for 1kg = (100/1133.4) ⨯ 1000 = Rs. 88.23

If she reduces weight by 6.4%

⇒ Cost price of 936g of sugar = (100/1000) ⨯ 936 = Rs. 93.6

⇒ Selling price of 936g of sugar = 100 + 6.4 = Rs. 106.4

AD × AC = AE × AB

In ∆ADE and ∆ABC

So, ∆ADE ∼ ∆ABC
∠ADE = ∠ABC = 76°
Given that, ∠ADE = ∠ACB + 28°
∠ACB = ∠ADE – 28° = 76° – 28° = 48°
In ∆ADE,
∠A = 180° – (∠ADE + ∠AED)
= 180° – (76° + 48°)
= 180° – 124°
= 56°
Hence, option A is correct.

Le the income of A = 3k and B = 4k
A saves Rs. 2,000 and B saves Rs. 4,000
Exp. of A = 3k – 2,000 and Exp. of B = 4k – 4,000


18k – 12,000 = 20k – 20,000
k = 4,000
Total income of A and B = 7k = 7 × 4,000 = Rs. 28,000
Hence, option C is correct.

Let, the larger number be z
According to the question,
z + 12 = 5 × (z – 12)
z + 12 = 5z – 60
4z = 72
z = 18
The larger number is 18.
Hence, Option C is correct.

Simple interest for 1 year

Principal = 5,450 – 120 × 2 = Rs. 5,210
Now, rate of interest for 2 years on CI

Therefore, CI for 2 years = 44% of 5,210 = Rs. 2,292.4
Hence, Option C is correct.

1.sinΘ + 1. cos Θ = √2 cos Θ ........(i) given
Let 1.cos Θ – 1.sin Θ = p ..........(ii)
{ i.e. ax + by = m and bx – ay = n }
∴ from (i) and (ii),
(sin²Θ + cos²Θ) (1² + 1²) = (√2 cos Θ)² + p²
⇒ 1(2) = 2cos²Θ + p²
⇒ p² = 2(1 – cos²Θ) = 2sin²Θ
⇒ p = √2 sin Θ
Hence, option C is correct.

Hence, Option C is correct.

The logic followed here is:

For, COMPUTER : EOOPWTGR

For, SHOWER : UHQWGR

Similarly, for NEEDLE

Hence, the correct answer is "Option 4".

The logic followed here is - Atleast one vowel is repeated and no constant is repeated.

1) WUUQ - Vowel 'U' is repeated

2) AAKP - Vowel 'A' is repeated

3) NOYY - Vowel 'O' is not repeated

4) RIIM- Vowel 'I' is repeated

∴ Here, "NOYY" is different from other three alternatives as instead of vowel ,a consonant was repeated.

Hence, the correct answer is "NOYY".

The logic followed here is:

(1st number ÷ 2nd number) × 2 = 3rd number.

Now,

(48, 8, 12)

⇒ (48 ÷ 8) × 2

⇒ 6 × 2 = 12.

For (42, 6, 14)

⇒ (42 ÷ 6) × 2

⇒ 7 × 2 = 14.

Now, checking the options:

Option 3: (44, 22, 4)

⇒ (44 ÷ 22) × 2

⇒ 2 × 2 = 4.

Hence, the correct answer is "Option 3".

The logic followed here is:

Logic: First Vowels are placed in order then Consonants is placed in Alphabetical order.

For, EXPLAIN : AEILNPX

For, MEDICAL : AEICDLM

Similarly, for PRIVACY :

Hence, the correct answer is "Option 2".

1. "All are very beauty" means 'Ka Ta Pa Ra'

The code for 'good' cannot be obtained from the above statement as 'good' is not present in it.

2. "They are good" means Ya Ra Sa

The code for 'good' cannot be obtained from the above statement as the code for other words and 'good' are not specifically mentioned.

By combining statement I and II:

The code for good may be Ya or Sa.

So, The facts of both statements 1 and 2 together are not sufficient to answer the question.

The logic followed here is : Decreasing consecutive multiples of 10.

Hence, "182" is the correct answer.

The logic followed here is:

Logic: 1st number × (1st number - 3rd number) = 2nd number.

Now,

For (14, 112, 6)

→ 14 × (14 - 6)

→ 14 × 8 = 112.

For (17, 204, 5)

→ 17 × (17 - 5)

→ 17 × 12 = 204.

Similarly, for (21, 189, 12)

→ 21 × (21 - 12)

→ 21 × 9 = 189.

Hence, the correct answer is "Option 1".

The logic followed here is :-

1st + 3rd number = 2nd number × (1st - 3rd number)

(72, 11, 60)

72 + 60 = 11 × (72 - 60)

132 = 11 × 12

= 132 = 132.

For, (48, 5, 32)

48 + 32 = 5 × (48 - 32)

80 = 5 × 16

= 80 = 80.

Similarly, for (64, 15, 56)

64 + 56 = 15 × (64 - 56)

120 = 15 × 8

120 = 120.

Hence, the correct answer is "(64, 15, 56)".

Alternate Method

Second number = (First number ÷ (First number - Third number)) + (Third number ÷ (First number - Third number))

(72, 11, 60) → (72 ÷ (72 - 60)) + (60 ÷ (72 - 60)) = (72 ÷ 12) + (60 ÷ 12) = 6 + 5 = 11

And

(48, 5, 32) → (48 ÷ (48 - 32)) + (32 ÷ (48 - 32)) = (48 ÷ 16) + (32 ÷ 16) = 3 + 2 = 5

Similarly,

(64, 15, 56) → (64 ÷ (64 - 56)) + (56 ÷ (64 - 56)) = (64 ÷ 8) + (56 ÷ 8) = 8 + 7 = 15

Hence, the correct answer is "(64, 15, 56)".

The statement implies that wait time is highest in India for visa interview process and visa waiver process which is mostly due to the shortage of the staff. Since, the reason is given as shortage of staff we cannot assume that there are greater number of applications in US consulate of India than any other country. Secondly, the reason that US consulate of India does not want to hire more staff is superfluous as there could be other reasons attached to the main idea.
Hence, option D is the correct answer.

The numbers in the matrix follow the below-mentioned logic:
Column 1: (36, 18, 72)
36 × 6 – 18 × 8 = 72
Column 2: (24, 15, 24)
24 × 6 – 15 × 8 = 24
Similarly, in Column 3:
(?, 19, 16)
? × 6 – 19 × 8 = 16
? × 6 = 168
? = 28
Hence, Option C is correct.

Using the above information, we get the following diagram:

The total distance that she has covered from her office = 25 + 15 + 12 + 22 + 14 = 88 m
Hence, Option B is correct.

Hence, option A is correct.

In each step, a increased stick follows a rule. The rule follows a develop which grow up bottom to top side and this process again starts after the end of this process.
Hence, option D is correct.