## CTET Logical Questions

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### Quiz Begins Here

Q #1
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#### Logical Question

Directions: Read the following information to answer the question.

What is the duplicate ratio of 3:4?
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3^2: 4^2 = 9:16

Q #2
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#### Logical Question

Directions: Read the following information to answer the question.

Sharma, Verma and Patel enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, Sharma withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is Verma's share?
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so , the ratio of partnership is 6:4:3 by taking the lcm of the three ratios. so the captial invested for Sharma , Verma & Patel are 6X , 4X & 3X The ratio of the profits will be in ration = (6x)2 + 3x(8) : (4x)10 : (3x)10 = 36 : 40 : 30 =18:20:15 So the profits are 18y,20y,15y The verma's share is 20 x 378/53 = 143

Q #3
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#### Logical Question

Directions: Read the following information to answer the question.

In what ratio must water be mixed with milk to gain 16 2/3% on selling the mixture at cost price?
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50/3: 100 = 50: 300 = 1: 6

Q #4
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#### Logical Question

Directions: Read the following information to answer the question.

A reduction of 20% in the price of sugar enables a 1 purchaser to obtain 2 1/2 kg more for Rs 160. Find the original price per kg of sugar.
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Reduction on Rs 160 = 20    × 160 = Rs 32 100

Reduced price of 2 1/2    kg of sugar = 32

Reduced price of 1 kg of sugar = 32 × 5

If reduced price is Rs 80, then original = Rs 100

If reduced price is Rs    64/5 , then original =    100/80 ×64/5        = Rs 16

Q #5
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#### Logical Question

Directions: Read the following information to answer the question.

A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400. [Bank P.O. 1993]
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Gain % = (164.36*100/2400) = 6.84% = 7% approx