CDS || Elementary Mathematics || Mini Mock

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Question 1

ABCD passes through the centres of the three circles as shown in the figure where AB= 2 cm and CD= 1 cm. If the area of middle circle is the average of the areas of the other two circles, then what is the length (in cm) of BC?

Question 2

The blacksmith has a rectangular sheet of iron. He has to make a cylindrical vessel both circular ends are closed when he minimizes there was waste of the sheet of iron, then what is the ratio of the wastage to the utilized area of sheet?

Question 3

A bucket is in the form of a truncated cone. The diameters of the base and top of the bucket are 6 cm and 12 cm respectively. If the height of the bucket is 7 cm, what is the capacity of the bucket?

Question 4

While multiplying three real numbers, Ashwin took one of the numbers as 73 instead of 37. As a result, the product of the numbers went up by 720. Then the minimum possible value of the sum of squares of the other two number is:

Question 5

Out of three numbers A, B and C, A is the largest number, and the ratio of B is to C is 4 : 5. If the HCF of A and B is 16, LCM of B and C is 240 and LCM of A and B is 192, then what is the LCM of A, B and C?

Question 6

What is the remainder when  is divided by 77:

Question 7

If x X y denotes H.C.F. of x and y and x @ y denotes LCM of x and y, then the value of (222 X185 ) @ 481 is:

Question 8

Direction:

The income (white box) and expenditure (black box) figures of a company are given:

What is the average savings between 2001-2005:

Question 9

Direction:

The income (white box) and expenditure (black box) figures of a company are given:

In which year, the percentage of savings is maximum:

Question 10

Direction:

The income (white box) and expenditure (black box) figures of a company are given:

What is the ratio of average savings of 2002, 2003 and 2004 to 2001 and 2005:

Question 11

Direction:

The income (white box) and expenditure (black box) figures of a company are given:

How much is the expenditure of year 2005 to the savings of year 2001?

Question 12

Direction: The given bar graph represents the production and sales of a certain crop in quintals by the farmers F1, F2, F3 and F4.



What is the ratio between the total sales by all famers and production by farmer F1, F2 and F3?

Question 13

Direction: The given bar graph represents the production and sales of a certain crop in quintals by the farmers F1, F2, F3 and F4.

Which farmer recoded the lowest percentage of sales with respect to the production?

Question 14

Direction: The given bar graph represents the production and sales of a certain crop in quintals by the farmers F1, F2, F3 and F4.

What is the percentage less in the production by famer F3 with respect to the production by farmer F4?

Question 15

At a point on a horizontal line through the base of a monument, the angle of elevation of the top of the monument is found to be such that its tangent is . On walking  meters towards the monument the secant of the angle of elevation is found to be . The height of the monument (in meter) is:

Question 16

The angle of elevation of the top of the TV tower from three points A, B and C in a straight line through the foot of the tower are and  respectively. If and , then height of the tower is:

Question 17

Question 18

The cumulative frequency curve of a frequency distribution with 6 classes and total frequency 60 is a straight line. Consider the following statements.

i. The first and the last classes have a frequency of 10 each

ii. Both the middle classes have a total frequency of 30

iii. The frequency distribution does not have a mode

Which of the statements given above are correct?

Question 19

If  then  will be equal to-

Question 20

If the roots of a quadratic equation be  and . Then the quadratic equation is-
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Jan 16CDS & Defence