10234+ MCQ Questions in english हिन्दी

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Find the odd one out: 36, 49, 64, 81, 90

All numbers except 90 are perfect squares: 6² = 36, 7² = 49, 8² = 64, 9² = 81. 90 is not a perfect square, hence the odd one.

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Which number will replace the question mark? 3 : 27 :: 5 : ?

This is a cube analogy. 3³ = 27, so 5³ = 125. Hence, the answer is 125.

If 5 + 3 = 28, 6 + 4 = 40, then 7 + 5 = ?

(5 + 3) = 8 → 8×3 = 24 (6+4) = 10 × 4 = 40 (7+5) = 12 × 5 = 60 → Answer is 60 Correction: Answer: A. 60

Find the missing number in the pattern: 4, 9, 16, 25, ?, 49

These numbers are squares of consecutive integers: 2²=4, 3²=9, 4²=16, 5²=25, so the missing number is 6² = 36, followed by 7² = 49.

Which of the following does not belong to the group?

Apple, banana, and mango are fruits, while carrot is a root vegetable. It is the only item not belonging to the fruit category, making it the odd one out

If ‘RAM’ is coded as ‘SBN’, what is the code for ‘KITE’?

Each letter is incremented by 1: R → S, A → B, M → N. Similarly, K → L, I → J, T → U, E → F. Thus, KITE becomes LJUF.

If ‘NEPAL’ is coded as 59137 and ‘INDIA’ is coded as 38491, then what is the code for ‘PANEL’?

Using the provided codes: N=9, E=1, P=3, A=5, L=7. Arranging for PANEL → P(3), A(5), N(9), E(1), L(7) gives 91357 as the correct code.

Pointing to a girl, Raj said, “She is the daughter of the only sister of my father.” How is the girl related to Raj? A. Sister B. Cousin C. Niece D. Aunt

Raj's father's only sister is his aunt. The girl is the daughter of his aunt, making her Raj’s cousin. Hence, the correct relation is cousin.

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In a certain code language, ‘TRUST’ is written as ‘USRTT’. How will ‘FAITH’ be written in the same code?

Rearranging the word TRUST to USRTT involves placing vowels in front alphabetically and consonants after them alphabetically. For FAITH, vowels (A, I) come first alphabetically, then consonants (F, H, T) follow alphabetically → AIFHT.

Complete the series: AZ, BY, CX, ?

In this series, the first letters are moving alphabetically forward: A, B, C, D. The second letters are moving backward from Z: Z, Y, X, W. So, the correct pair following CX is DW.

The probability of an event A is 0.4. What is the probability of its complement?

Probability of complement = $ 1 - P(A) = 1 - 0.4 = 0.6 $.

The angle of elevation of a tower from a point 50 m away is 30°. What is the height of the tower?

Let height = $ h $. Then, $ \tan 30^\circ = \frac{h}{50} $. Since $ \tan 30^\circ = \frac{1}{\sqrt{3}} $, we get $ \frac{h}{50} = \frac{1}{\sqrt{3}} $, so $ h = \frac{50}{\sqrt{3}} = \frac{50\sqrt{3}}{3} \approx 25\sqrt{3} $ m.

If $ \cos \theta = \frac{1}{2} $, what is $ \theta $ (in degrees, 0 ≤ $ \theta $ < 360)?

$ \cos \theta = \frac{1}{2} $ at $ \theta = 60^\circ $ or $ 300^\circ $. Since $ 0 \leq \theta < 360 $, $ \theta = 60^\circ $.

The perimeter of a square is 48 cm. What is its area?

Perimeter = $ 4 \times \text{side} = 48 $, so side = 12 cm. Area = $ \text{side}^2 = 12^2 = 144 $ cm².

A rectangle has a length of 12 cm and a width of 5 cm. What is the length of its diagonal?

Diagonal = $ \sqrt{\text{length}^2 + \text{width}^2} = \sqrt{12^2 + 5^2} = \sqrt{144 + 25} = \sqrt{169} = 13 $ cm.

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An equilateral triangle has sides of length 6 cm. What is its area?

Area of an equilateral triangle = $ \frac{\sqrt{3}}{4} \times \text{side}^2 $. For side = 6 cm, area = $ \frac{\sqrt{3}}{4} \times 36 = 9\sqrt{3} $ cm².

The area of a sector of a circle is 308 cm², and the central angle is 45°. What is the radius of the circle?

Area of sector = $ \frac{\theta}{360} \times \pi r^2 $. Given area = 308 cm² and $ \theta = 45^\circ $, we have $ \frac{45}{360} \times \frac{22}{7} \times r^2 = 308 $. Simplify: $ \frac{1}{8} \times \frac{22}{7} \times r^2 = 308 $. Solving, $ r^2 = 784 $, so $ r = 28 $ cm. An equilateral triangle has sides of length 6 cm. What is its area?

If $ \frac{1}{x} + \frac{1}{y} = 1 $ and $ xy = 12 $, what is the value of $ x + y $?

Given $ \frac{1}{x} + \frac{1}{y} = 1 $, we have $ \frac{x + y}{xy} = 1 $. Since $ xy = 12 $, it follows that $ x + y = 12 $. Check with roots of $ t^2 - (x+y)t + xy = 0 $: $ t^2 - 12t + 12 = 0 $. Discriminant = $ 144 - 48 = 96 $, roots are $ t = \frac{12 \pm \sqrt{96}}{2} $. However, directly, $ x + y = 12 $, but testing pairs (e.g., 3, 4) gives $ x + y = 7 $,

What is the value of $ x $ if $ 2x + 3 = 7x - 2 $?

Solve $ 2x + 3 = 7x - 2 $. Rearrange: $ 3 + 2 = 7x - 2x $, so $ 5 = 5x $, and $ x = 1 $.

If $ 2x + 3y = 12 $ and $ 3x - 2y = 5 $, what is the value of $ x + y $?

Add the equations: $ (2x + 3y) + (3x - 2y) = 12 + 5 $, giving $ 5x + y = 17 $. Subtract: $ (2x + 3y) - (3x - 2y) = 12 - 5 $, giving $ -x + 5y = 7 $. Solve the system: multiply the first by 5 ($ 25x + 5y = 85 $) and subtract the second: $ (25x + 5y) - (-x + 5y) = 85 - 7 $, so $ 26x = 78 $, and $ x = 3 $. Substitute into $ 5x + y = 17 $: $ 5(3) + y = 17 $, so $ y = 2 $. Thus, $ x + y = 3 + 2 = 4 $.

The difference between two numbers is 30, and the smaller number is 13 more than half of the greater number. What is the greater number?

Let the greater number be $ x $, and the smaller number be $ y $. Given $ x - y = 30 $ and $ y = \frac{x}{2} + 13 $. Substitute $ y $ in the first equation: $ x - \left( \frac{x}{2} + 13 \right) = 30 $. Solving, $ \frac{x}{2} - 13 = 30 $, so $ \frac{x}{2} = 43 $, and $ x = 86 $.

If $ x + y + z = 0 $, then what is the value of $ \frac{x^2}{yz} + \frac{y^2}{xz} + \frac{z^2}{xy} $?

Given $ x + y + z = 0 $, the expression is $ \frac{x^2}{yz} + \frac{y^2}{xz} + \frac{z^2}{xy} $. This simplifies to $ \frac{x^3 + y^3 + z^3}{xyz} $. Since $ x + y + z = 0 $, we use the identity $ x^3 + y^3 + z^3 = 3xyz $. Thus, $ \frac{3xyz}{xyz} = 3 $.

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A shopkeeper mixes two varieties of pulses worth Rs. 50/kg and Rs. 75/kg to get a mixture worth Rs. 65/kg. In what ratio should they be mixed?

Using the alligation rule: $ (75 - 65) : (65 - 50) = 10 : 15 = 2 : 3 $. Thus, the ratio of cheaper (50/kg) to dearer (75/kg) is 3:2, or dearer to cheaper is 2:1

If the cost of apples increases by 20% and then decreases by 20%, what is the net percentage change?

Let the original price be 100. After a 20% increase, price = $ 100 \times 1.2 = 120 $. After a 20% decrease, price = $ 120 \times 0.8 = 96 $. Net change = $ \frac{96 - 100}{100} \times 100 = -4\% $.

A car travels 275 km at 50 km/h and 315 km at 70 km/h. What is the average speed for the entire journey

Total distance = 275 + 315 = 590 km. Time for the first part = $ \frac{275}{50} = 5.5 $ hours; second part = $ \frac{315}{70} \approx 4.5 $ hours. Total time = $ 5.5 + 4.5 = 10 $ hours. Average speed = $ \frac{590}{10} = 59 $ km/h (approximately 58.33 km/h for precision).

A sum of Rs. 25,000 amounts to Rs. 31,000 in 4 years at simple interest. What is the rate of interest?

Simple Interest (SI) = Amount - Principal = 31,000 - 25,000 = 6,000. Using the formula $ SI = \frac{P \times R \times T}{100} $, we get $ 6,000 = \frac{25,000 \times R \times 4}{100} $. Solving, $ R = 6\% $.

The sum of two numbers is 90, and one of them exceeds the other by 16. What is the smaller number?

Let the smaller number be $ x $. Then the larger number is $ x + 16 $. Given $ x + (x + 16) = 90 $, we solve: $ 2x + 16 = 90 $, so $ 2x = 74 $, and $ x = 37 $. Thus, the smaller number is 37.

If 2x + 3y = 12 and 3x - 2y = 5, what is the value of x + y?

Add the equations: (2x + 3y) + (3x - 2y) = 12 + 5. This gives 5x + y = 17. Subtract: (2x + 3y) - (3x - 2y) = 12 - 5, giving -x + 5y = 7. Solve the system: x = 3, y = 1. Thus, x + y = 4. **What is the value of x if 2x + 3 = 7ostrar

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