Cts Campus Model Question Paper

Cts Campus Model Question Paper

1) Diameter of circle is d.

Find length of string.

(Outer string that covers the circle)

2) Diamond’s value is proportional to its weight². When the diamond broken into

pieces of wt ratio 1:2:3:4:5. Total loss in value is 85,000.What is the value of the

Diamond twice the wt of the original diamond.

3) Person X joins a job at the age 20 yrs in a private company. First 3 years sal =10,000 p.a. Afterwards

increment of 2,000 per year for 10 year. Then sal becomes const till retirement. At

retirement avg sal is 25,000. (Thro’out career) what age he retires.?

4) In an island there r tribals who speak Language of at most 4 words. Lang consists

of 4 alphabets. How many words can be formed in that language?

5) It was found that the cause for the malaria was the swamp marsh and so r swamps

were drained .Mosquito, the real cause for malaria due to lack of breeding grounds

(Swamps) also was wiped out. What does this illustrate?

6) An officer kept files on his table at various times in the order 1,2,3,4,5,6. Typist can

take file from top whenever she has time and type it.What order she can’t type.?

7) A and B r firing missiles at the target. B fires 3 times as many missiles as A.

Total hits : total misses =1:7 .B’s misses 357.B’s hits – A’s hits = 66.A’s hits?

8) 40 shots taken.50p for a hit.10p for a miss (he has to give). Finally he has

Rs.5. How many hits?

9) Find avg of a, b, c, d, e. given data: (i) avg of any 4 num =avg of any 3 num

(ii) (a+b) ² = 36. Which of the abv are sufficient?

10) What is the diff in times btwn clk 1&2. (i) Both show the same time 6 hrs back

(ii) clk1 gains 1 min an hr,clk2 gains 2 min an hour. Which of the abv are sufficient?

11) B takes 7 strides for A’s 9 strides. A’s stride = 1m. B’s stride =1.2m. B gets the

start of 24m.What dist should A travel to overtake B?

12) Tortoise gets 100 m head start. Hare is 10 times faster as tort. What is the dist

traveled by hare to catch up tort?

13) 4 weights r weighed in pairs. Weights of pairs are determined as

103,105,106,106,107,109. What is the min wt?

14) 20 members avg =10.5. 3 memb of 11.5,12.5,13.5 r left and 3 memb of

10.5,12.5,14.5 joined along with a teacher of 21 yr. Now avg?

15) Find the area of shaded. Radius of circle = 1cm…

Arcs r drawn with center at circumference.

16) Find the area of the shaded portion?

7.5

1.25

4

17) A painted solid cube 6 * 6 * 6 is cut into to 216 small cubes (1 * 1 * 1).

Then how many of cubes will have at least 2 sides painted.

18) A bacteria is doubling at every 4 min. After 40 min 1024 bact. Then 256

when t =…..?

19) A bag contains 3 balls of 11 different colors each. Find the min no of chances to

find at least 3 balls of same color?

20) If x² < 4 then 100/x is…?

21) If [x] is the int less than x and |x| is the abs val of x. Then max of [x]/|x| is

22) A work in 12 days b in 15 days. Find the no of days if they work on alternate days.

23) A, B, C r positive int. Out of them 2 r odd. Then 5²^a + (b-5) ³ (c-3) ² =?

24) A square side is 5cm.If a square of side 10cm is hinged @ the center of the prev square. When they r rotated, common area to both squares is?

25) 3p² + pq + 5q² is even. If a) If p is odd, q is odd b) If p is even, q is odd

c) If p is odd, p is even d) Atleast one of p and q is odd.

26) A man bought at the cost of 5 plums a rupee and 2 oranges a rupee. He sells 10 plums and 6 oranges at the selling price of 4 plums a rupee and 3 oranges a rupee. What is his gain or loss?

27) Out of 32 books the cost of 10 books is Rs.50 each and he got a profit of 4%. He sells 15 books at a profit of 3.8461% on the selling price of Rs 70. The remaining cost is 576. The remaining books are sold at Rs.74. What is his total profit?

28) Two solutions have milk & water in the ratio 7:5 and 6:11.Find the proportion in which these two solutions should be mixed so that the resulting solution has 1 part milk and 2 parts water?

1. 35:3 b) 21:36 c) not possible

29) FIND THE PERIMETER

6

8

Vocabulary List 2 (73 words):

Alacrity, Analogous, Analogue, Anathematize, Anomaly, Anomaly, Assuage, Attenuate, Augment, Banal, Benign, Bolster, Candid, Censure, Circuitous, Cite, Clutch, Compliance, Cryptic, Dangle, Debilitate, Decollate, Derogatory, Diffident, Divergent, Divulge, Effigy, Effusive, Empirical, Erroneous, Exonerate, Expedient, Fidelity, Generic, Gregarious, Hamper, Heterodox, Ignominious, Insinuate, Indigenous, Irradiate, Minion, Nascent, Misapprehension, Misdemeanor, Objective, Onus, Optimum, Pedigree, Plaintive, Precarious, Raucous, Restiveness, Retrograde, Rupture, Sacrosanct, Sceptic, Sonorous, Spendthrift, Standing, Surveillance, Tenacious, Tenacious, Terse, Transient, Transient, Veracity, Voluble, Voracious, Whimsical

ANSWERS KEY: CTS AU 2003

1. d (pi + 3)
2. 45,000
3. 68 years8
4. 340
5. (Ans: (Possible) when many conditions form a result eradication of one cause also eradicates the result)
6. (4,5,6,2,3,1)
7. 20
8. 15hits, 25 misses
11. 350 strides
12. 1000/9
13. 51
14. 11.
15. Pi – (3*3)/2
16. 18
17. 56
18. 32 min
19. 23
20. 100/x > 50 & 100/x < -50.
21. None
22. 13 ¼
23. Always odd.
24. Does not change
25. None of these
26. Loss of 50p.
27. 89 paise
28. c

29) 14