SSC CGL 1st Dec 2022 Shift-4

Instructions

For the following questions answer them individually

Question 61

If $$\frac{a^{2} + B^{2} + c^{2} -1024}{ab - bc - ca} = -2$$ and a+b=5c, where c>0, then the value of c is ___________.

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Question 62

The pie chart given below shows the production of 6 different factories. The total production of all these 6 factories are 22000. The production of a particular factory is shown as a percent of total production of all these 6 factories.


P1 = The value of average production of A, C, D and F.
P2 = The difference between the production of B and E.
What is the value of (P1 + P2)?

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Question 63

If p + q = 6 and pq = 4, then what is the value of $$p^{3} + q^{3}$$?

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Question 64

The ratio of two numbers is 5 : 4 and their HCF is 4. What is their LCM?

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Question 65

If $$\cos A =\frac{9}{41}$$, find $$\cot A$$.

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Question 66

A truck runs 492 km on 36 Litter of diesel. How many kilometres can it run on 33 Litter of diesel?

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Question 67

In the given triangle, CD is the bisector of $$\angle$$ BCA. CD = DA. If $$\angle BDC = 76^{\circ}$$, what is the degree measure of $$\angle$$ CBD?

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Question 68

A dealer buys an old cooler listed at ₹650 and gets successive discounts of 20% and 10%. He spends ₹38 on its repairs and sells it at a profit of 20%. Find the selling price of the cooler.

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Question 69

The pie chart given below shows the sales of 7 different companies. The total sales of all these 7 companies are 2880. The sale of a particular company is shown in terms of degree with respect to the total sales of all these 7 companies.

The average sales of G and H is how much percent more than the average sales of D and I?

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Question 70

What is the edge of a cube whose volume is equal to the sum of the volumes of the cubes of edge 6 cm, 8 cm and 10 cm?

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