SSC CGL 24th August 2021 Shift-2

Instructions

For the following questions answer them individually

Question 51

Avinash has 20% less coins of different countries than Gaurav has. Gaurav has 40% more such coins than Chetan has. By what percent the number of coins which Chetan hasis less than the number of coins which Avinash has? (correct to one decimalplace)

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Question 52

If $$x - \frac{2}{x} = 15$$, then what is the value of $$\left(x^2 + \frac{4}{x^2}\right)$$?

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Question 53

Simplify the following expression:
$$\frac{7}{12} \div \frac{1}{10}  \text{of}   \frac{2}{3} - \frac{5}{3} \times \frac{9}{10} + \frac{5}{8} \div \frac{3}{4}  \text{of}   \frac{2}{3}$$

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Question 54

The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 years.

What is the ratio of the total number of boys in the year 2014 to the total number of girls in the year 2020?

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Question 55

If $$\sin^2 \theta = 2 \sin \theta - 1, 0^\circ \leq \theta \leq 90^\circ $$, then find the value of: $$\frac{1 + \cosec \theta}{1 - \cos \theta}$$.

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Question 56

In $$\triangle ABC$$ and $$\triangle DEF$$ we have $$\frac{AB}{DF} = \frac{BC}{DE} = \frac{AC}{EF}$$, then which of the following is true?

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Question 57

In a circle with centre O, AB is a chord of length 10 cm. Tangents at points A and B intersect outside the circle at P. If OP = 2 OA, then find the length (in cm) of AP.

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Question 58

Monthly salaries of Anil and Kumud are in the ratio 19 : 17. If Anil and Kumud get salary hike of ₹2000 and ₹1000 respectively, then the ratio in their salaries become 8 : 7. What is the present salary of Kumud(in ₹)?

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Question 59

Trader A gives a single discount of 25% and Trader B gives two successive discounts of 20% and 5% on an identical item. If the discount given by A is ₹320 more than the discount given by B, then what is the marked price (in ₹) of the item?

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Question 60

Eighteen men can complete a work in 14 days. Three women do as much work as two men. Five men and six women started the work and continued for 4 days. Subsequently 3 more men joined the group. In how manytotal days was the work completed?

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