SSC MTS 2021 Question Paper Shift 2 (Oct 18th)

Instructions

For the following questions answer them individually

Question 61

What is the smallest number which when divided by 72 and 96, respectively, leaves a remainder 5 in each case?

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Question 62

What is the simplified value of $$\frac{9\div9 of 9+9}{9\div9\times9+9}$$ ?

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Question 63

The given pie charts show the number of candidates who enrolled for a medical entrance examination in 2010, and those who qualified the examination in seven medical institutes of India.
The total number of candidates who appeared for the entrance examination were 1,80,000. and those who qualified were 75,000.
Study the charts carefully and answer the question that follows.

Which of the following institutes has the highest percentage of qualified candidates with respect to the number of
candidates enrolled in that institute?
Given that the number of candidates enrolled in institutes B, E, F and G are 18,000, 28,800, 21,600 and 16,200,
respectively.

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Question 64

The given pie charts show the number of candidates who enrolled for a medical entrance examination in 2010 and those who qualified the examination in seven medical institutes of India.
The total number of candidates who appeared for the entrance examination were 1,80,000, and those who qualified were 75,000.
Study the charts carefully and answer the question that follows.


The combined number of candidates who qualified for institutes B and E is what percentage (correct to one place of decimal) of the combined number of candidates who enrolled for institutes C and D?

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Question 65

A girl cycles from A to B, a disiance of 25 km in 2 hours 20 minutes. The road from A is a levelled road for 15 km and then it slopes down to B. The average speed of the girl on the levelled road is 10 km/h. Her average downhill speed (in km/h) is:

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Question 66

P and Q are two towns. A man drives from P to Q at an average speed of 50 km/h. He stops at Q for 4 hours and then heads back to P at an average speed of 40 km/h following the same route. What is his average speed (in km/h correct to two decimal places) if he takes 22 hours for the entire trip?

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Question 67

A sum of ₹3,900 is divided among P, Q and R such that R receives two-fifths of P's share and Q receives three times of R's share. What is Q's share (in ₹)?

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Question 68

In the last two weeks of a sale, prices are reduced by 40%, followed by a discount of 25%, What is the final sale price (to the nearest rupee) of a microwave oven that originally costs ₹15,485?

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Question 69

A trader purchased 500 kg of sugar at ₹40 per kg. He sold 200 kg of it at a profit of 10% and 120 kg at a loss of 5%. At what rate per kg (in ₹, correct to 2 decimal places) should he sell the remaining sugar to gain 12% on his initial investment?

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Question 70

A right circular cone is inscribed in a cube of side 9 cm occupying the maximum space possible. What is the ratio of the volume of the cube to the volume of the cone?
(Take $$\pi=\frac{22}{7}$$)

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