TCS 2015 Paper
1. What will be the remainder of 1011021030104105............150
when divided by 9?
2. If (p/q)-(q/p)=21/10, then what is the value of(4p/q)+(4q/p)
3. 15 dots are given in 3 rows and 5 columns. i.e, it is a 3*5
matrix of dots. How many triangles can be formed??
4. A tank has a leak, which would empty it in 8 hours. A tap is
turned on which fills at the rate of 4 liters per minute and the
tank is now emptied in 12 hours. Find the capacity of the tank.
5. Two persons start simultaneously from A and B towards B and
A respectively. The first person reached b in 10 minutes and the
second person reached A in 15 minutes from the time of their
start. In how many minutes from their start do they meet each
other?
6. In a 1500 race, Tinu beats Minu by 150 m and in the same
race Minu beats Rinu by 75 m. by what distance does Tinu beat
Rinu?
7. If P is 60% of Q, Q is 25% of R; R is 40% of S. Find P: S
8. 9+99+999+9999+............+ up to 23 terms find the last 3
digits of the sum.
9. Set A {1,3,10,17,19}, B{9,12,15,18,21} and set
C{4,7,10,13,16,19} probability of a num from A+ a num from B
> a num from C.
10. A, B, C can do a piece of work in 36 days A, B together are
twice as efficient as C. A, C together are thrice as efficient as B.
In how many days c alone can do that work.
11. A series is given as 1, 6, 7, 13, 20, 33. Find the sum of first
52 numbers.
12. Jack started walking from his home at 12:00 hours at speed
of 6 kmph and at 13:30 hours Paul follows Jack from Jack’s home
on a cycle with a speed of 8 kmph. At what time will be Jack 3km
behind Paul?
13. Two equilateral triangles of side 12 units are drawn one upon
the other to form a star and a common circum circle is drawn to
them then finds the area enclosed in circle but not in star.
14. f(x)= 2(x) +1, f(f(f(f….f(n))))12 times = 81919. Then n=?
15. John has 3 shirts, 4 pants and 6 ties in how many ways john
can wear them?
16. How many 6 digit even numbers can be formed by using 1, 2,
3, 4, 5, 6 and 7 such that the second last digit is even?
17. Largest side of a triangle is 40 units, one of its sides is 24
units and the area is 384 square units then find the other side of
the triangle.
18. X = 101102103….150 (writing 101, 102, 103, 150 together).
What is the remainder when X is divided by 9.
19. X = ((2^32) – 1) the sum of factors of x which lie in between
1 and 100 is Hint: (2^2^n + 1) is a prime number for n= 1, 2, 3,
4.
20. Out of 6000 apples in a row, every 3rd apple is damaged,
every 4th apple is not ripened, every 10th apple is made by using
chemicals and the rest are ready to eat. How many apples among
6000 are ready to eat?
21. A valid ISBN code consists of 10 digits like
ISBNa1a2a3a4a5a6a7a8a9a10 such that
10.a1+9.a2+8a3+7a4+6a5+5a6+4a7+3a8+2a9+1a10 must be
divisible by 11.
ISBN0111200091 is a valid code. Find the number of pairs of (a5,
a9) other than (2, 9) such that the given ISBN is a valid code.
22. 1032A book is published once in every 10 years starting from
its origin, sum of the first ten years in which the book is
published is 19560, then the year in which the first copy of the
book was printed is
23. Mr. Bean chooses a number and he keeps on doubling the
number followed by subtracting one from it, if he chooses 3 as
initial number and he repeats the operation for 30 times then
what is the final result?
24. The number 10102103104105106....148149150 when divided
by 9 what will be remainder.
25. What is the sum of divisors greater than 1 and less than 100
of the number (2^32)-1.
26. If 1535/1038 = a+1/[b+1/{c+(d+1/e)}]. Find a*b*c*d*e.
27. If f(x) =1+x+(X^2)+...+(x^6).the remainder when
f(x^7)/f(x).
28. (68-a)(68-b)(68-c)(68-d)(68-e)=725 then a+b+c+d= ?
29. If XY denotes X is raised to the power Y, Find the last
two digits of 19413843+ 19614181