CTS Paper - 9

1) A triangle has three sides 2x, 2x + 1 and 2x -1. Find out the area of Triangle.

2) A can do a work in 8 days. B can do a work in 6 days. A, B and C can do the same work in 4 days. They got total 750. What is the share of C?

3) There is a cube whose each side is 12 cm. We paint the cube and then break it into small cubes whose each side is 3cm. Find out the number of unpainted cube. Ans.8

4) There is a cube with each side of 12cm.The cube is painted and break into some smaller cube of side 4 cm. Find out the number of small cube which has more than one painted face. Ans. 32

5) There is a disc with radius 12 cm. We cut a small disc of radius 3 cm from that disc. Find out the ratio of small disc and remaining portion of main disc after cutting.

6) We have a square of side 10 cm. We cut four circle of radius 3 cm. from that square. Find out the ratio of total area of four circles to the remaining portion of square.

7) Sachin drives his car from Bandra to Churchgate at a speed of 85 km. per hour and returns from there at a speed of 95 km per hour. What is his average speed?
a) 90km/hr b)90.3 Km /hr c) 89.7 km / hr d) can’t determine

8) P, Q, R, S, T, W do a job from Monday to Saturday. W does the job on Thursday.
S and T do the job on consecutive days. Q never does the job before P.
There are 5 questions on this passage…..there are 4 sequence given, u have to
Find correct sequence
Say P does the work on Tuesday then what is the correct sequence. Bla …bla …bla

9) S1 and S2 are two series. S1 is the series of first six prime numbers; S2 is the series of first six even numbers. Omitting the common number from both the series, find out the average.

10) Leander and Mahesh both start driving from Mumbai towards lonavela. Leander
drives at a speed of 20 km /hr and Mahesh drives 25 km/hr .On returning from
Lonavela to Mumbai Mahesh meets Leander at Honululu.The distance between
Mumbai and Lonavela is 180 km. what is the distance of Honululu from Mumbai?
Ans. 160


11)Interior and Exterior angles of a triangle has a ratio of 5: 7.Find the sum of the
other two angles of triangle.

11)-8,-4, 0…….. sum of the series is 52 . Find the total number of term in the series.

12) Laloo Yadav, a mango seller brings mango from Mumbai and sells it in Bihar.
On his way to Bihar from Mumbai, he gives 10% of total mangoes to ticket collector (he don’t have a valid ticket). Then he gives 10% of remaining mangoes to co passengers and 50% of remaining mangoes are found rotten. At last he has 810 mangoes for sale. What is the number of mangoes purchased from Mumbai?
Ans. 2000

13)11 is divided in sum of two numbers, Find the maximum product of them.
Ans. 30

14) English: In an airline company the total revenue is decreased but their number of passenger is increased, how can it be possible?
Ans. Passenger are starting to go a shorter distance

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