SSC CGL 18th August 2021 Shift-3

Instructions

For the following questions answer them individually

Question 51

Study the table and answer the question.
The data given in the table shows the number of students studying in four different disciplines in 5 institutes.

Number of students studying commerce in institute D is what percent of the total number of students of the 5 institutes?

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Question 52

In $$\triangle ABC, AB$$ and AC produced to points D and E respectively. If the bisectors of angle CBD and angle BCE meet at point O, such that $$\angle BOC = 63^\circ$$, then $$\angle A = ?$$

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Question 53

Simplify the expression $$441 \div \left[270 \div \frac{3}{7} + \left(17 \div \frac{1}{3}\right) - \left(8\frac{1}{2} - \frac{5}{2}\right)\right]$$

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Question 54

Points A and B are on a circle with centre O. Point C is on the major are AB. If $$\angle OAC = 35^\circ$$ and $$\angle OBC = 45^\circ$$, then what is the measure (in degrees) of the angle subtended by the minor are AB at the centre?

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Question 55

The given Pie-Chart shows the degree wise breakup of expenditure of a family in a month. Total income of a family is ₹43,200.

Expenditure on food is what percent more than expenditure on rent?

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Question 56

Five men can complete a work in 20 days. Ten women can complete the same work in 15 days. Two men and six women started working together. After 5 days, three women left the work and a new man joined the work. The group continued working togethertill the end of the work. In how many days will they be able to do the remaining work?

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Question 57

A T.V. is sold at 8%gain. Hadit been sold for ₹2553 less; there would have beenloss of 15%. To gain 18%, the selling price (in ₹) of T.V. would be:

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Question 58

If a train runs with the speed of 72 km/h, it reaches its destination late by 15 minutes. However,if its speed is 90 km/h, it is late by only 5 minutes. The correct time to cover its journey in minutes is:

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Question 59

What is the length (in cm) of the smallest altitude of the triangle whose sides are 5 cm, 12 cm and 13 cm? (correct to one decimal place)

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Question 60

In a right angled triangle ABC, the lengths ofthe sides containing the right angle are 5 cm and 12 cm respectively. A circle is inscribed in the triangle ABC. Whatis the radius ofthe circle (in cm)?

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