## QBM036

Q1. The sum of a two-digit number and its reverse is equal to 99. How many such two-digit numbers are there?
a)6

b) 9

c) 8

d) none of these
Q2. The rate of inflation was 1000%. What will be the cost of an article, which costs 6 units of currency now, two years from now?
(1) 666

(2)660

(3)720

(4) 726
Q3. Is x/y prime?
I. x is divisible by 3 but not by 9
II. y is a multiple of 6
**Direction for Q4 and Q5**
A cube is divided into 4 equal cubes. Each of these cubes is further sub-divided into 4 equal cubes.
Q4. What is the ratio of the surface area of the smallest cube as a percentage of the original cube?
(a)0.625
(b)0.0625
(c)0.0156
(d) 0.25
Q5. The original cube’s sides are painted blue, then what is the probability that exactly 2 sides of a small cube is painted blue?
Q6. 30 playing cards of length 12 cm and 6 cm are used to make a pyramid with 4
cards in the base. Find the area covered by the front side of the pyramid.
(a) 288^{3} cm^{2}

(b)180^{3} cm ^{2}

(c) 360^{3} cm ^{2}

(d) 576^{3}cm ^{2}
Q7. How much does it cost @ Rs. 2/ft^{2} to paint the roof and the walls of a 10 ft x 8 ft x 10 ft (length x width x height) room?
1) Rs. 440

2) Rs. 880

3) Rs. 720

4) Rs. 540
Q8. Given that 'a' and 'b' are positive integers and 'a' is not equal to 'b'
and (4^{a}+1)(4^{b}+1)=3^{c}+1
find the value of a^{b}+b^{a}
(a)-1

(b) 0

(c) 1

(d) indeterminate
Q9. Shim can do a job in 20 days, Ram in 30 days and Singh in 60 days. If Ram and Singh help Shim every 3rd day, how long will it take for them to complete the job?
A. 12 days

B.16 days

C.15 days

D.10 days
Q10. In a class of 40 students, 15% are absent today. How many students are in class today ?
a.30

b.31

c.32

d.33

e.34
Q11. The number of right-angled triangles that can be formed by using any three of the six points (0,0), (0,2), (0,4), (2,0), (4,0), (2,2) as vertices is:
a.9

b.10

c.11

d.12

e. None of these
Q12. Find the area of the triangle whose vertices are (-6, -2), (-4, -6), (-2, 5).
A.36

B.18

C.15

D.30
Q13. The pressure of wind on a plane surface varies as the square of the velocity of the (in kmph). The pressure on a square cm is 2 2/9 gm when the wind is moving at a rate of 24 kmph. Find the velocity of the wind when the pressure on a square metre is 18 kg.
a) 32.4

b) 30.1

c) 21.6

d) 26.5
Q14. How many zeroes will be there at the end of 36!^{36!}?
a) 8

b) 64

c) 8 x 36!

d) none of these
Q15. A set S consists of 12 distinct elements a_{1},a_{2},...,a_{12}.
How many subsets can be made of S with the restriction that the subscripts of elements in any subset starting from the second element is an integral multiple of the subscript of the first element.
eg: if the 1st element is a1, we could have the set as {a1, a2 , a3..} if the 1st element is a2, we could have the set as {a4 , a6..}
(a) 1221

(b) 2112

(c) 2101

(d) 2102
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## My Anwers

Q1. Ans.(b)
Q2. ANS: 4
Q3. ANS:
Q4.
Q5.
Q6.
Q7. ANS: 2
Q8. ANS:
a=b=0 and c = 1 is the solution the equation. so a^{b} + b^{a} wud be, 0^{0}+ 0^{0}
= inderminate
Q9. ANS: D
Q10.
Q11.
Q12. ANS: C
Q13.
Q14. Ans:(c)
Q15. ANS: 2048 + 32 + 8 + 4 + 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 2102