A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. EKP, ?, IQX, KTB, MWF

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A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. EKP, ?, IQX, KTB, MWF

AGMU

BGNT

CHOV

DFLT

Akhilesh ? Apr 17 '25 at 21:43

Correct Answer: OPTION b : GNT

Explanation:

The series follows a pattern where each letter in the trio progresses alphabetically. Breaking it down:

• First letters: E, G, I, K, M (each increasing by 2 in position)
• Middle letters: K, N, Q, T, W (each increasing by 3 in position)
• Last letters: P, T, X, B, F (each increasing by 4 in position, wrapping around after Z)

Thus, the missing term is GNT.

Final Answer: \(\boxed{GNT}\)

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The marked price of a article is Rs. 4000. If the shopkeeper sold the article at 10% discount but still got a profit of 20%, find the cost price of the article.

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The marked price of a article is Rs. 4000. If the shopkeeper sold the article at 10% discount but still got a profit of 20%, find the cost price of the article.

ARs. 3200

BRs. 2880

CRs. 3000

DRs. 3300

Akhilesh ? Apr 17 '25 at 21:47

Correct answer: Rs. 3000

Explanation:

Let the cost price (CP) be \( x \)
The marked price (MP) is Rs. 4000.
The discount is 10%, so the selling price (SP) is 90% of MP:

\(SP = 4000 \times (1 - 0.10) = 4000 \times 0.90 = 3600\)

The profit is 20%, so: \[ SP = CP \times (1 + 0.20) \]

Substituting SP: \[ 3600 = x \times 1.20 \] Solving for \( x \):

\[ x = \frac{3600}{1.20} = 3000 \]

Final Answer: \(\boxed{3000}\)

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Velocity of sound is maximum in

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Velocity of sound is maximum in

ASolid

BLiquid

CGas

DSteam

Akhilesh ? Apr 16 '25 at 23:04

correct answer is: option a : Solid
Explanation: The velocity of sound is generally higher in solids than in liquids or gases because the molecules in solids are more closely packed and have stronger intermolecular forces. This allows sound waves to travel more quickly through the medium. The speed of sound depends on the elasticity and density of the medium. Solids typically have a higher elasticity (resistance to deformation) compared to liquids and gases, contributing to a higher speed of sound.

• Option a: Solids have the highest density and elasticity among the given options, resulting in the fastest sound propagation.
• Option b: Liquids have lower density and elasticity than solids, hence sound travels slower.
• Option c: Gases have the lowest density and elasticity, thus sound velocity is the lowest.
• Option d: Steam is a gaseous state of water and would have similar characteristics as other gases regarding sound propagation.

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Select the number-pair that is different from the other three?

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Select the number-pair that is different from the other three?

A15-120

B16-416

C12-648

D6-38

Akhilesh ? Apr 16 '25 at 23:04

correct answer is: option d : 6-38
Explanation: The logic in all other pairs except option d is that the second number is obtained by multiplying the first number by a value that is the square of the first number minus a certain constant. Let's analyze each option:

• Option a: 15-120. Here, 15 * (15 - 7) = 15 * 8 = 120.
• Option b: 16-416. Here, 16 * (16 + 10) = 16 * 26 = 416. Alternatively , we can express it as 16*(16 + 10) = 416
• Option c: 12-648. Here, 12 * (12 * 4.5) = 648. Alternatively , we can express it as 12 * (12 + 42) = 648, where this doesn't work. But if consider 12 * (12 * 4.5) = 648 or 12 * (12 x 4.5)
• Option d: 6-38. Here, we need to find a similar relationship, and no such simple multiplication holds true as 6 * (6+x) = 38. Thus, it doesn't follow same pattern as the others. Thus, this option is the different one.

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By selling a sweater for Rs. 750, a shopkeeper gains 25%. For how much should he sell it to gain 30%?

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By selling a sweater for Rs. 750, a shopkeeper gains 25%. For how much should he sell it to gain 30%?

A720

B780

C600

D180

Akhilesh ? Apr 17 '25 at 21:56

Correct Answer: 780
Explanation:
To determine the selling price needed to gain 30%, we first find the cost price (CP) using the given 25% gain:
\( \text{Selling Price} = \text{CP} \times 1.25 \)
Given Selling Price = Rs. 750: \( 750 = \text{CP} \times 1.25 \)
Solving for CP: \( \text{CP} = \frac{750}{1.25} = 600 \)
Now, to achieve a 30% gain: \( \text{New Selling Price} = 600 \times 1.30 = 780 \)
Final Answer: \(\boxed{780}\)

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Delhi-Agra-Jaipur' has been called –

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Delhi-Agra-Jaipur' has been called –

ARajasthan calling

BPlace on Wheels

CMaru Triangle

DGolden Triangle

Akhilesh ? Apr 16 '25 at 23:04

correct answer is: option d : Golden Triangle
Explanation: The Delhi-Agra-Jaipur route is popularly known as the Golden Triangle because of the historical and cultural significance of these three cities. Each city offers a unique glimpse into India's rich heritage.

• Option a: Rajasthan Calling is not a commonly used term for this circuit.
• Option b: Palace on Wheels is a luxury tourist train, not a geographical circuit.
• Option c: Maru Triangle usually refers to a desert circuit in Rajasthan, distinct from the Delhi-Agra-Jaipur route.

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Study the given pattern carefully and select the number that can replace the question mark (?) in it. 14 4 28, 21 6 63, 45 8 ?

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Study the given pattern carefully and select the number that can replace the question mark (?) in it. 14 4 28, 21 6 63, 45 8 ?

A195

B180

C210

D150

Akhilesh ? Apr 17 '25 at 21:59

correct answer is: option b (b)[180]
Explanation:

Study the given pattern carefully and select the number that can replace the question mark (?) in it. The pattern is: 14 4 28, 21 6 63, 45 8 ?

Options: a: 195, b: 180, c: 210, d: 150

Explanation:

Let's analyze the pattern step by step.

First Triplet: 14, 4, 28

\(14 \times 4 = 56\)

\(56 \div 2 = 28\)

Second Triplet: 21, 6, 63

\(21 \times 6 = 126\)

\(126 \div 2 = 63\)

Third Triplet: 45, 8, ?

\(45 \times 8 = 360\)

\(360 \div 2 = 180\)

Therefore, the number that can replace the question mark (?) is 180.

Final Answer: \(\boxed{180}\)

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