SSC CGL Tier l 2023 Question Paper Shift 3 (July 27th)

Instructions

For the following questions answer them individually

Question 51

If the measure of one angle of a right triangle is $$30^{\circ}$$ more than the measure of the smallest angle, then the measure of the smallest angle is:

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Question 52

How many of the following numbers are divisible by 3 but NOT by 9?
5826, 5964, 6039, 6336, 6489, 6564, 6867 and 6960

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Question 53

The distribution of monthly expenditure of Ramesh on various items is shown in the following pie chart.


If the monthly income of Ramesh is ₹45,000, then find his total monthly expenditure (in ₹) on housing and transportation.

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Question 54

The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?

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Question 55

A circular arc whose radius is 4 cm makes an angle $$45^{\circ}$$ at the centre. Find the perimeter of the sector formed.
[Use $$\pi = \frac{22}{7}$$]

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Question 56

Which number among 11368, 11638, 11863 and 12638 is divisible by 11?

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Question 57

The curved surface area of a right circular cylinder of height 56cm is 1408 $$cm^{2}$$. Find the diameter of the base of the cylinder.

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Question 58

Select the correct statement about the properties of a triangle.

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Question 59

Sara can finish a work in 18 days and Tara can complete the same work in 15 days. Tara worked for 10 days and left the job. In how many days can Sara finish the remaining work alone?

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Question 60

If $$\left(x + \frac{1}{x}\right) = 6$$, and x > 1, find the value of $$\left(x^{2} - \frac{1}{x^{2}}\right)$$?

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