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Unlock 1.0 Maths Revision Quiz: Moderate (Category)

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Question 1

The area of a triangle ABC is 10.8 cm². If CP = PB and 2AQ = QB then the area of the triangle APQ is:

Question 2

If the height of a cylinder is increased by 20% and the radius is decreased by 20%, what is the change in volume? (approx)

Question 3

From the top of a 10 m high building, the angle of elevation of the top of a tower is

and the angle of depression of its foot is

Find the height of the tower. (take

)

Question 4

Number of zeroes at the end of

is:

Question 5

If x = 109 then the find the value of x(x² + 3x + 3)

Question 6

A cylindrical bottle with 3 cm diameter contains 100g of Glue in it. On each use 1/9^th of the quantity of the bottle gets used. Then, find the height of the remaining glue in the bottle after 3^rd use.

Question 7

Three solid metallic spheres whose radii are 1 cm, x cm and 8 cm are melted and recast into a single solid sphere of diameter 18 cm. the surface area (in cm²) of the sphere with radius x cm is :

Question 8

The sides AB and AC of ∆ABC are produced to P and Q respectively. The bisectors of ∠CBP and ∠BCQ meet at R. if the measure of ∠A is 44^o, then what is the measure of ½∠BRC ?

Question 9

PQRS is a cyclic quadrilateral in which
PQ = 14. 4 cm, QR = 12. 8 cm and SR = 9. 6 cm. If PR bisects QS, what is the length of PS?

Question 10

If A is 28% more than B and C is 25% less than the sum of A and B, then by what percent will C be more than A (correct to one decimal place)?

Question 11

The ratio of each interior angle to each exterior angle of a regular polygon is 5:4. The number of sides of the polygon is:

Question 12

Ram and Shyam used to work in a firm. the monthly salaries of Ram and Shyam are in the ratio 5 : 6 . If both of them get a salary increment of Rs 2000 per month, the new ratio becomes 11 : 13. What is the new monthly salary of Ram?

Question 13

If the 8-digit number 2074x4y2 is divisible by 88, then the value of (4x + 3y) is:

Question 14

Find the difference between the maximum and minimum value of 20.Sinx + 21.Cosx + 13.

Question 15

If 3cos²A + 7sin²A = 4, then what is the value of cot A, given that A is an acute angle?

Question 16

Four square flower beds each of size 2 m are dug on a piece of land 15 m long and 10 m wide. Find the area of the remaining part of land.

Question 17

Simplify this:
(1 - 1/3)(1 - 1/4)(1 - 1/5)...........(1 - 1/Q)

Question 18

What should replace * in the number 94*2357, so that number is divisible by 11?

Question 19

The HCF and LCM of two numbers are 8 and 48 respectively. If the ratio of the two numbers is 2 : 3, then the larger of the two numbers is :

Question 20

Let x be the least number divisible by 16, 24, 30, 36 and 45, and x is also a perfect square. What is the remainder when x is divided by 123?

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SSC & Railway General

Sep 6SSC & Railway