Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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61.

If tan2x + cot2x is

  • 3

  • 2

  • 0

  • 1


B.

2

We know that,

Minimum value of straight a space tan squared straight theta space plus space straight b space cot squared straight theta space equals space 2 square root of ab

Here, a  = 1,  b = 1

tan squared straight theta space plus space cot squared straight theta space equals space 2 space square root of 1 space cross times space 1 end root space equals space 2

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62.

While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns â‚¹ 15/- less as profit. The marked price of the watch is

  • ₹ 697.5

  • ₹ 712.5

  • ₹ 750

  • None of these

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63.

What least value must be assigned to '*' so that the number 63576*2 is divisible by 8?

  • 1

  • 2

  • 3

  • 4

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64.

A student, by mistake, wrote 64 in place of 46 as a number at the time of finding the average of 10 given and got the average as 50. The correct average of the number is:

  • 48.2

  • 48

  • 48.1

  • 48.1

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65.

If straight x plus square root of 5 space equals space 5 space plus space square root of straight y and  x,  y are positive integers, then the value of fraction numerator square root of straight x plus straight y over denominator straight x plus square root of straight y end fraction space is colon

  • 1

  • 2

  • square root of 5

  • 5

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66.

The cube of 997 is

  • 991026973

  • 991029673

  • 991029773

  • 991097273

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67.

Length of the sides of a triangle area a, b, c respectively. If a2 + b2 + c2 = ab + bc + ca, then the triangle is

  • Isosceles

  • Equilateral

  • Scalene

  • Right-angled

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68.

The area of the circle with radius Y is W. The difference between the areas of the bigger circle (with radius Y) and that of the smaller circle (with radius X) is W'. So X/Y is equal to:

  • square root of 1 minus fraction numerator straight W apostrophe over denominator straight W end fraction end root

  • square root of 1 plus fraction numerator straight W apostrophe over denominator straight W end fraction end root

  • square root of 1 plus fraction numerator straight W over denominator straight W apostrophe end fraction end root

  • square root of 1 minus fraction numerator straight W over denominator straight W apostrophe end fraction end root

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69.

If cos space 21 degree space equals space straight x over straight y comma space then cosec space 21 degree space minus space cos space 69 degree  is equal to

  • fraction numerator straight x squared over denominator straight y square root of straight y squared minus straight x squared end root end fraction

  • fraction numerator straight y squared over denominator straight x square root of straight y squared minus straight x squared end root end fraction

  • fraction numerator straight y squared over denominator straight x square root of straight x squared minus straight y squared end root end fraction

  • fraction numerator straight x squared over denominator straight y square root of straight x squared minus straight y squared end root end fraction

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70.

A right circular conical structure stands on a circular base of 21 m diameter and is 14 m in height. The total cost of colour washing for its curved surface at 6 per sq m is (Take straight pi space equals space 22 over 7

  • 4365

  • 4465

  • 3465

  • 3365

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