SSC CGL 13th August 2021 Shift-3

Instructions

For the following questions answer them individually

Question 61

Atul purchased Bread costing ₹20 and gave a 100 rupee note to the shopkeeper. The shopkeeper gave the balance money in coins of denomination ₹2, ₹5 and ₹10. If these coins are in the ratio 5 : 4: 1, then how many ₹5 coins did the shopkeepergive?

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Question 62

The value of $$90 \div 20  \text{of}  6 \times [11 \div 4  \text{of}  \left\{3 \times 2 - (3 - 8)\right\}] \div (9 \div 3 \times 2)$$ is:

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Question 63

The average of eleven numbers is 56. The average of first three numbers is 52 and that of next five numbers is 60. The 9th and 10th number are 3 and 1 more than the 11th number respectively. What is the average of 9th and 11th numbers?

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Question 64

The radii of two concentric circles are 12 cm and 13 cm. AB is a diameter of the bigger circle. BD is a tangent to a smaller circle touchingit at D. Find the length (in cm) of AD? (correct to one decimal place)

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Question 65

A train running at $$40\frac{1}{2}$$ km/h takes 24 seconds to cross a pole. How much time (in seconds) will it take to pass a 450 m long bridge?

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Question 66

If $$x^4 + \frac{1}{x^4} = 727, x > 1$$, then what is the value of $$\left(x - \frac{1}{x}\right)?$$

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Question 67

Find the greatest value of b so that 30a68b (a > b) is divisible by 11.

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Question 68

A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?

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Question 69

If $$x - \frac{1}{x} = 1$$, then what is the value of $$x^8 + \frac{1}{x^8}?$$

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Question 70

A train is to cover 370 km at a uniform speed. After running 100 km,the train could run at a speed 5 km/h less than its normal speed due to some technical fault. The train got delayed by 36 minutes. What is the normal speed of the train, in km/h?

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