SSC CGL Tier-2 29th January 2022 Maths

Instructions

For the following questions answer them individually

Question 51

If an article is sold for ₹355, there is a loss of 29%. At what price (in ₹) should it be sold to gain 31% of profit?

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Question 52

One cup has juice and water in the ratio 5 : 2, while another cup of the same capacity has them in the ratio 7 : 4, respectively. If contents of both the cups (when full) are poured in a vessel, then what will be the final ratio of water to juice in the vessel?

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Question 53

Study the given histogram and answer the question that follows.

The number of persons weighing 55 kg or more but less than 75 kg is what percentage more than the number of persons weighing 80 kg or more but less than 100 kg (correct to one decimal place)?

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Question 54

In $$\triangle$$ABC, O is the point of intersection of the bisectors of $$\angle$$ B and $$\angle$$A. If $$\angle BOC = 108^\circ$$, then $$\angle$$ BAO = ?

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Question 55

If $$847\times385\times675\times3025 = 3^{a}\times5^{b}\times7^{c}\times11^{d}$$ , then the value of ab-cd is:

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Question 56

The income of A is 80% of B's income and the expenditure of A is 60% of B's expenditure. If the income of A is equal to 90% of B's expenditure, then by what percentage are the savings of A more than B's savings?

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Question 57

A student goes to school at a speed of $$5\frac{1}{2}$$ km/h and returns at a speed of 4 km/h. If he takes $$4\frac{3}{4}$$ hours for the entire journey, then the total distance covered by the student (in km) is:

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Question 58

Study the given pie charts and answer the quesrion that follows.

Total number of students appeared = 1200

Total number of students passed = 900
The number of students who passed the examination from institute C is what percentage of the total number of students who appeared from institutes D and E?

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Question 59

AB and CD are two chords in a circle with centre O and AD is a diameter. AB and CD produced meet at a point P outside the circle. If $$\angle APD = 25^{\circ}$$ and $$\angle DAP = 39^\circ$$, then the measure of $$\angle$$ CBD is:

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Question 60

4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can complete it in 1O days. To complete the same work in 7 days, how many women should assist 4 men?

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