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Prelims

UPSC Prelims Questions

Practice UPSC Prelims MCQs by subject and year. Free questions with explanations for focused revision.

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  2. /Prelims Questions
Q.6175·Miscellaneous·2019·Easy

A person sells two items each at Rs. 990, once at a profit of 10% and another at a loss of 10%. What is the combined percentage of profit or loss for the two items ?

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Q.6176·Miscellaneous·2019·Easy

It takes 11 hours for a 600 km journey if 120 km is done by train and the rest by car. It takes 40 minutes more if 200 km are covered by train and the rest by car. What is the ratio of speed of the car to that of the train ?

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Q.6177·Miscellaneous·2019·Easy

The sum of the squares of four consecutive natural numbers is 294. What is the sum of the numbers ?

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Q.6178·Miscellaneous·2019·Easy

How many pairs of natural numbers are there such that the difference of their squares is 35 ?

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Q.6179·Miscellaneous·2019·Easy

HCF of two numbers is 12. Which one of the following can never be their LCM?

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Q.6180·Miscellaneous·2019·Easy

The rate of interest on two different schemes is the same and it is 20%. But in one of the schemes, the interest is compounded half yearly and in the other the interest is compounded annually. Equal amounts are invested in the schemes. If the difference of the returns after 2 years is ₹482, then what is the principal amount in each scheme?

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Q.6181·Miscellaneous·2019·Easy

Consider the following statements: 1. If p is relatively prime to each of q and r, then p is relatively prime to the product qr. 2. If p divides the product qr and if p divides q, then p must divide r. Which of the above statements is/are correct?

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Q.6182·Miscellaneous·2019·Easy

Radha and Rani are sisters. Five years back, the age of Radha was three times that of Rani, but one year back the age of Radha was two times that of Rani. What is the age difference between them?

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Q.6183·Miscellaneous·2019·Easy

When N is divided by 17, the quotient is equal to 182. The difference between the quotient and the remainder is 175. What is the value of N?

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Q.6184·Miscellaneous·2019·Easy

A stock of food grains is enough for 240 men for 48 days. How long will the same stock last for 160 men?

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Q.6185·Miscellaneous·2019·Easy

A hollow right circular cylindrical vessel of volume V whose diameter is equal to its height, is completely filled with water. A heavy sphere of maximum possible volume is then completely immersed in the vessel. What volume of water remains in the vessel?

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Q.6186·Miscellaneous·2019·Easy

Three parallel lines x, y and z are cut by two transversals m and n. Transversal m cuts the lines x, y, z at P, Q, R respectively; and Transversal n cuts the lines x, y, z at L, M, N respectively. If PQ = 3 cm, QR = 9 cm and MN = 10.5 cm, then what is the length of LM?

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Q.6187·Miscellaneous·2019·Easy

A right circular cone has height 8 cm. If the radius of its base is 6 cm, then what is its total surface area?

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Q.6188·Miscellaneous·2019·Easy

Six cubes, each with 12 cm edge are joined end to end. What is the surface area of resulting cuboid?

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Q.6189·Miscellaneous·2019·Easy

If the ratio of the work done by (x + 2) workers in (x – 3) days to the work done by (x + 4) workers in (x – 2) days is 3 : 4, then what is the value of x ?

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Q.6190·Miscellaneous·2019·Easy

Two cylinders of equal volume have their heights in the ratio 2:3. What is the ratio of their radii?

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Q.6191·Miscellaneous·2019·Easy

The perimeters of two similar triangles ABC and PQR are 75 cm and 50 cm respectively. If the length of one side of the triangle PQR is 20 cm, then what is the length of corresponding side of the triangle ABC?

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Q.6192·Miscellaneous·2019·Easy

A line segment AB is the diameter of a circle with centre at O having radius 6.5 cm. Point P is in the plane of the circle such that AP = x and BP = y. In which one of the following cases the point P does not lie on the circle?

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