CTS Paper - 6

The numbers given in pblms may not be exact. But do refer the pattern of the pblms.
1) 1A671B4. If no is divisible by 8, 9 & A,B>0 what is A, B?
a)9,8 b) 0,8 etc
Ans: 9,8

2)11979, to make it a perfect cube, give the smallest no by which it is to be divided.
a)9, b)3, c)5 Ans:9

3) Three dice are thrown. prob to get sum exactly equal to 16. Ans:6/1296

4) A&B can do a work in 6 days. B alone can in 12 days. Then aA alone
can in how many days?

5)120 questions in exam. +1 for correct, -1/4 for wrong. One person attempted some questions and 60% of which were correct and got 55 marks. So how many were attempted by him?

6)A circular table is placed touching both walls at 8cm an 9cm resp. Radius of table?

7)Girls avg pass and Boys avg pass were given along with class avg pass. Total no of students?

8)5 lines are drawn on a plane. Max no. of points at which the lines intersect p?

9)There is one boy and one girl, atleast one of them is lieing. Person with black hair tells "I'm a boy". Person with red hair tells "I'm a girl".Who is girl?
a) Black hair b) red hair c) Both d) None Ans: a

10) One travelling problem. Some km in bike some km in moped, walk some km. How many km if walk all distance, given total dist also.?

11)2 white, 3 red and 4 blue balls are there in a box. Min no of balls to be drawn so that the 2 balls drawn are 1 red and 1 blue.
a)6 b)7 c)8

12)5 places A,B,C,D,E.A-B 2KM
B-C 2 KM
C-E 2KM
C-D 4KM
D-E 3.5 KM
A-D 2KM
A-C 2 KM
2 q's based on this, as below.

11)Min no of stations at which ration shops should be there, so that one cannot travel more than 2 km?
a)2 b)3 c)4 d)5

12)Min no of stations at which ration shops should be there, so that one cannot travel more than 3.5 km?
a)1 b)2 c)3 d)4

13)A,B,C orders either cone or ball ice-cream. If A ordes cone, B orders what C orders
If C orders ball, B orders what A orders.
2 q's based on this, as below.

13) Who always orders same?
a)A b)B c)C d) none

14) If A order cone, what is ordered by B?
a) cone b)ball c)both d) can't tell

15)One magic square pblm. Given certain points. When we add points of each side of square, we get 15 always.
3 questions based on this.

16)A paise pblm. 10 paise, 20 paise, 50 paise 1 rupee and 5 rupee stamps. I gave 20 rupees. Got 3 i rupee stamps extra as he had no change to give balance. How many stamps I bought minimum?

17)Fly pblm.Trains A & B in opposite directions, 120 km apart at 60km/hr. A fly with A at 120 km/hr reaches B,then it return to A and continues till the 2 trains collide. Then distance travelled by fly?


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