UKPSC Prelims Paper 2 Mock Test - 2 - UKPSC (Uttarakhand) MCQ

The least possible Venn diagram for the given statements is as shown below:

 

Conclusions:

(i) There are some red pillars → Follow (As all the pillars are red. So, whole pillars comes in red therefore some red are pillars is definitely true)

(ii) Some pillars are not light →  Does not follow (As some lights are pillars. So, no negative or cross relation between light and pillars is given therefore it is definitely false)

(iii) Some lights are not red.→  Does not follow (As some lights are pillars and there are some red lights. So, as conclusion given is illogic therefore it is definitely false)
∴ Here, Only conclusions (i) is logical.​
Hence, the correct answer is "Option - (A)"

The logic followed here is,
Given Codes:

To find the code for 'GRAPES':

Therefore, 'GRAPES' will be written as '289614' in the same code language.
Hence, the correct answer is "Option 1".

Given:

Selling price when profit is earned = Rs.21056

Selling price when loss is incurred = Rs.10528

Profit percentage is 24% more than the loss percentage.

Formula Used:

Profit = SP - CP

Loss = CP - SP

Profit = 1.24 × Loss

Calculation:

Let the Cost Price (CP) be x.

Profit = 21056 - x

Loss = x - 10528

According to the question:

Profit = 1.24 × Loss

⇒ 21056 - x = 1.24 × (x - 10528)

⇒ 21056 - x = 1.24x - 1.24 × 10528

⇒ 21056 - x = 1.24x - 13055.36

⇒ 21056 + 13055.36 = 1.24x + x

⇒ 34111.36 = 2.24x

⇒ x = 34111.36 / 2.24

⇒ x = 15228

The cost price of the article is Rs.15228.

Decoding signs:

Given: A ÷ C × D - B + E = ?
A ÷ C × D - B + E = ? ⇒ 54 ÷ 18 × 8 - 4 + 7 = ?
⇒ 54 ÷ 18 × 8 - 4 + 7 = ?
⇒ 3 × 8 - 4 + 7 = ?
⇒ 24 + 7 - 4 = ?
⇒ 31 - 4 = ?
⇒ 27 = ?

Hence, "Option 1" is the correct answer.

Total number of triangle is:

Hence, the correct answer is "Option 2'.

Given:

The length of the field is 1 km and the width is km.

Solution:

To calculate the area of a rectangle, we use the formula:

Area = Length × Width

Substituting the given values:

Area = 1 ×

Area = square km

The area of the field is square km.

The answer figure that will complete the problem figure series is shown below:

 

Figure 5 is same as figure 1, which makes clear that the series is repeating itself after figure 4.

So, the answer figure that will complete the problem figure series will be same as figure 2 and option 1 is same as figure 2.

Clearly, option A is the figure which will continue the same series as established by the five Problem Figure.

Hence, ‘option A’ is the correct answer.

The logic followed here is:

Hence, "Option 4" is the correct answer.

The logic followed here is:

Thus, it should be 'GT' instead if 'FU'.

Hence, "Option 3" is the correct answer.

Given: Kumar's father Arun's son Shankar's wife Hema is the daughter in law of Kumar's father's wife Prema.

So, Hema is the daughter-in-law of Arun.

Hence, "Option 2" is the correct answer.

Given:

Principal (P) = ₹10,000

Rate (r) = 10% per annum

Time (t) = 2 years

Formula used:

A = P

Where, A = Amount

Calculation:

A = 10,000

⇒ A = 10,000

⇒ A = 10,000

⇒ A = 10,000 × 1.21

⇒ A = Rs.12,100

∴ The correct answer is option 2.

Logic followed here is,
The Number of bigger circles is increased by 1 in each next figure,

And the number of smaller circles is increased by 2 in each next figure,

Hence the correct answer is "Option 2"

Given word: MEASUREMENTS
According to the question:

Hence, "Option 3" is the correct answer.

Given: Five friends L, M, N, O, P, each has a different height.

L is shorter than M but taller than N.

→ M > L > N.

O is shorter than N. P is taller than O. M is taller than P.

→ M > L > N > P > O.

Thus, M is the tallest.

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: Difference of left side number × Sum of right side number = Middle number.

For figure 1.

→ (15 - 5) × (2 + 6)

→ 10 × 8

→ 80 = middle number.

For figure 2

→ (12 - 6) × (4 + 5)

→ 6 × 9

→ 54 = middle number.

Similarly,

For figure 3

→ (18 - 7) × (3 + 2)

→ 11 × 5

→ 55

Hence, the correct answer is "Option 3".

The Correct answer is Option 4.

Explanation

The given expression is:

6³ ÷ 12 + 4 x √81 - 28 ÷ 2 + 24

Calculate the original expression stepwise:

6³ = 216

√81 = 9

Substitute the values:

216 ÷ 12 + 4 x 9 - 28 ÷ 2 + 24

Calculate the operations:

216 ÷ 12 = 18

4 x 9 = 36

28 ÷ 2 = 14

Sum all terms:

18 + 36 - 14 + 24 = 64

Since the original equation results in 64 and is incorrect, test each pair of numbers swapped according to the options:

Option 1: Swap 6 and 4

Expression: 4³ ÷ 12 + 6 x √81 - 28 ÷ 2 + 24

Calculation:

4³ = 64

6 x 9 = 54

Sum: 64 ÷ 12 + 54 - 14 + 24 = 5.33 + 54 - 14 + 24 = 69.33

Option 2: Swap 6 and 12

Expression: 12³ ÷ 6 + 4 x √81 - 28 ÷ 2 + 24

Calculation:

12³ = 1728

1728 ÷ 6 = 288

4 x 9 = 36

Sum: 288 + 36 - 14 + 24 = 334

Option 3: Swap 4 and 24

Expression: 6³ ÷ 12 + 24 x √81 - 28 ÷ 2 + 4

Calculation:

6³ = 216

24 x 9 = 216

Sum: 18 + 216 - 14 + 4 = 224

Option 4: Swap 12 and 24

Expression: 6³ ÷ 24 + 4 x √81 - 28 ÷ 2 + 12

Calculation:

216 ÷ 24 = 9

4 x 9 = 36

Sum: 9 + 36 - 14 + 12 = 43

After testing all options, swapping 12 and 24 gives the corrected and reasonable result.

Therefore, the two numbers to interchange are 12 and 24.

Hence the Correct answer is Option 4.

The Correct answer is Option 2.

Explanation

Using properties of exponents:

3^a × 3^b × 3^c = 3^a+b+c

Given:

3^a+b+c = 729

Express 729 as a power of 3:

729 = 3⁶

Therefore,

a + b + c = 6

Since a, b, and c are different positive integers, possible values are:

a = 1

b = 2

c = 3

Calculate:

3¹ + 3² + 3³ = 3 + 9 + 27 = 39

The value of 3^a + 3^b + 3^c is 39.

Hence the Correct answer is Option 2.

The Correct answer is Option 2.
Explanation

• The passage emphasizes that art's value comes from art itself, independent of external factors.
• This aligns with the idea that art exists for its own sake, which supports option (b).
• Option (a) speaks about aesthetic experience, which is related but not the main focus here.
• Option (c) relates to subjective beauty, which the passage does not explicitly emphasize.
• Therefore, the best fit is option (b) Art is for the sake of art alone.

The Correct answer is Option 1.

Explanation

Represent the number

Let the number be x = 527k + 37, where k is any integer.

We need to find

x % 17 = (527k + 37) % 17

Use modular arithmetic:

527 % 17 = 0 because 17 × 31 = 527

37 % 17 = 3

Final calculation:

x % 17 = (0 × k + 3) % 17 = 3

Hence the Correct answer is Option 1.

The Correct answer is Option 4.
Explanation
I. M = C + S → 300 = 180 + 120 = 300
II. S = H - E → 120 = 360 - 240 = 120
Hence the Correct answer is Option 4.

The Correct answer is Option 2.

Explanation

A is eighteenth from the front while B is sixteenth from the end. If C is twenty-fifth from the front and is exactly in the middle of A and B

Number of persons between A and C = Position of C - Position of A -1 = 25 - 18 - 1 = 6
Number of persons between C and B = 6
Number of persons after C = 6 + 16 = 22
Total number of persons in the queue = 25 + 22 = 47.
Hence, there are 47 persons in the queue.

Number of Days between 8th December, 2006 and 8th December, 2007 → 365 days = 364 + 1 day = 52 weeks + 1 day or in other words 1 odd day.

Since, 8th December 2007 is a Saturday. 8th December 2006 will be the day previous to Saturday that is Friday.

Hence, Friday is the correct answer.

1 = b;0 = a
10 = ba
Now, for the equation [dc x f - (bf - d) x d]
dc = 32; f = 5; bf = 15; d = 3
[ 32 x 5 - (15 - 3) x 3 ]
= [ 32 x 5 - 12 x 3 ]
= [ 160 - 36 ]
= [ 124 ]
= [ bce ]
Therefore, Option 1 is the correct answer.

The number of square and triangles is as follows:

Hence, there are 18 rectangles or square in the given figure.

Calculation:

LCM of 7, 8, 14 is 56

Now the multiples of 56 between 950 and 1050 is 952 and 1008

The number which will give the remainder 6 when divided by 7, 8, 14 is

⇒ 952 + 6 = 958 and 1008 + 6 = 1014

Required number between 950 and 1050 leave a remainder of 6 when divided by 7, 8, 14 is 2

∴ None of these

The Correct answer is Option 1.
Explanation
(a) gullible — Means easily deceived or tricked.
(b) complacent — Being self-satisfied, unaware of danger.
(c) punctilious — Paying attention to details.
(d) stupid — Lacking intelligence.
Correct Answer: (a) gullible

The Correct answer is Option 3.
Explanation
(a) nail out — Incorrect; the phrase is "nail down," not "nail out."
(b) dig up — Means to discover or find something, not suitable here.
(c) hammer out — Means to work hard to reach an agreement or solution. Fits perfectly.
(d) paper over — Means to cover up or conceal problems temporarily, less fitting for negotiating a deal.
Correct Answer: (c) hammer out

The Correct answer is Option 4.
Explanation
The passage refers to "blundering discovery of better" — meaning making mistakes or errors in discovery.
(d) committing mistake fits best as a replacement for blundering.
Hence correct answer is Option 4.

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