SSC CGL 1st Dec 2022 Shift-1

Instructions

For the following questions answer them individually

Question 61

The batting average for 27 innings of a cricket player is 47 runs. His highest score in an innings exceeds his lowest score by 157 runs. If these two innings are excluded, the average score of the remaining 25 innings is 42 runs. Find his highest score in an innings.

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Question 62

P and Q can complete a project in 15 days and 10 days, respectively. They started doing the work together, but after 2 days, Q had to leave and P alone completed the remaining work. In how many days was the whole work completed?

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Question 63

The pie chart given below shows the number of truck sold by 8 different companies.
The total number of truck sold by all these 8 companies are 4000. Number of truck sold by a particular company is shown as a percent of total number of truck sold by all these 8 companies.


The number of trucks sold by B, C, F and H is how much percent less than the number of trucks sold by all these 8 companies?

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Question 64

If $$x^{2} - 5x + 1 = 0$$ then the value of $$\frac{x^{6}+^{4}+^{2}+1}{5x^{3}}$$

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Question 65

In a right-angled triangle PQR, right-angled at Q, the length of the side PR is 17 units, length of the base QR is 8 units, and length of the side PQ is 15 units. If $$\angle RPQ = \alpha$$, then sinα + cosα is:

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Question 66

If $$\frac{\left(17\right)^{3}+\left(7\right)^{3}}{\left(17^{2} + 7^{2}-k\right)} + 24$$

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Question 67

The circumference of the two circles is 198 cm and 352 cm respectively. What is the difference between their radii?

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Question 68

Radius of a circle is 10 cm. Angle made by chord AB at the centre of this circle is 60 degree. What is the length of this chord?

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Question 69

How many spherical lead short each of diameter 8.4 cm can be obtained from a rectangular solid of lead with dimension 88 cm, 63 cm, 42 cm (take $$\pi = \frac{22}{7}$$)

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Question 70

The table given below shows the number of spoon manufactured by five factories.

What are the ratio of number of spoon manufactured by P to the number of spoon manufactured by R?

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