1. Express  as rational number.
a) $\frac{358}{1000}$
b) $\frac{358}{999}$
c) $\frac{355}{990}$
d) All

---

2. Arrange the following numbers in descending order. $-2, \frac{4}{-5}, \frac{-11}{20}, \frac{3}{4}$
a) $\frac{3}{4}> -2 > -\frac{11}{20} > \frac{4}{-5}$
b) $\frac{3}{4}> -\frac{11}{20} > \frac{4}{-5}$ > -2
c) $\frac{3}{4} > \frac{4}{-5} > -2 > \frac{-11}{20}$
d) $\frac{3}{4} > \frac{4}{-5} > \frac{-11}{20} > -2$

---

1. The ratio of number of males to number of females in a club are 7 : 4.If these are 84 males in the club, the total number of members in the club are:
a) 126
b) 132
c) 136
d) 148

---

2. A number consists of two digits whose sum is 8. If 18 is added to the numbers its digits are interchanged.Find the number.
a) 53
b) 35
c) 92
d) 63

---

1. In the figure given below, PTU is a straight line.

What is the value of x?
a) 100⁰
b) 110⁰
c) 120⁰
d) 130⁰

---

2. ABCD is a parallelogram as shown in figure. If AB = 2AD and P is mid-point of AB, then ∠CPD is equal to:

a) 90⁰
b) 60⁰
c) 45⁰
d) 135⁰

---

1. In a parallelogram, if ∠A = 65⁰, then ∠B, ∠C and ∠D are respectively:
a) 115⁰, 65⁰, 115⁰
b) 112⁰, 65⁰, 112⁰
c) 110⁰, 60⁰, 110⁰
d) None of these

---

2. Two adjacent sides of a parallelogram are 6 cm and 8 cm. Its perimeter is:
a) 28 cm
b) 26 cm
c) 14 cm
d) None of these

---

1. The pie chart shows the examination grades obtained by a group of students. Which of the following statements about the pie chart is true?

a) 15% of the students scored grade B
b) 90 % of the students scored grade A
c) 1/4 of the students scored grade B
d) 1/3 of the students scored grade C

---

2. The frequency table shows the marks obtained by a group of students in a monthly test. Calculate the percentage of students who failed the test if 40 is the passing mark.
a) 3%
b) 12%
c) 15%
d) 30%

---

1.  = ?
a) 0
b) 1
c) 2
d) 2^31/32

---

2. The least perfect square which is divisible by 2,4 and 6 is:
a) 36
b) 64
c) 16
d) 18

---

1. Which of the following is the cube of odd natural number?
a) 32768
b) 4096
c) 6859
d) 1728

---

2. Given that a) 216
b) 18
c) -18
d) -216

---

1. Karuna bought a car for acertain sum of monsy. She spent 10% of the cost on repairs and sold the car for a profit of Rs. 11,000. How much did she spend on repairs, if she made a profit of 20%?
a) Rs. 4,000
b) Rs. 4, 400
c) Rs.5,500
d) Rs.5,000

---

2. A man bought goods worth Rs. 6,000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder to get a gain of 25% on the whole?
a) 40%
b) 25%
c) 30%
d) 20%

---

1. The difference of the degrees of the polynomials 3x²y³ + 5xy⁷ -x⁶ and 3x⁵ - 4x³ + 2 is:
a) 2
b) 3
c) 1
d) None of these

---

2. If [x² - (x+1)(x+2)] / (5x+1) = 6 then x is:
a) 8/33
b) 8/3
c) -8/33
d) -6/33

---

1. The total length of edges of the following cube is:

a) 24 cm
b) 30 cm
c) 32 cm
d) 36 cm

---

2. Which is/are three dimensional figures shapes?
a) Sphere
b) Cylinder
c) Cone
d) All of the above

---

1. The area of the largest triangle that can be inscribed in a semicircle whose radius is r cm is:
a) 2r cm²
b) r² cm²
c) 2r² cm²
d) r/2 cm²

---

2. The dimensions of a hall are 40 m, 25 m and 20 m. If each persons requires 200 cubic metre, then the number of persons who can be accomodated in the hall are:
a) 120
b) 150
c) 140
d) 100

---

1. The value of ((64)^-1/6 x (216)^-1/3 x (81)^1/4) / )((512)^-1/3 x (16)^1/4 x (9)^-1/2 )
a) 3
b) 6
c) 1
d) none of these

---

2. If x^y = y^x, then (x/y)^x/y is equal to:
a) x^x/y
b) x^s/y-1
c) x^s/y
d) x^y/x-1

---

1. A flagstaff 17.5 m high casts a shaded length of 40.25 m. The height of the building which costs a shadow of length 28.75 m under similar conditions will be :
a) 10 m
b) 12.5 m
c) 17.5 m
d) 21.25 m

---

2. A contractor undertook to do a certain piece of work in 9 days. He employed certain number of men, but 6 of them being absent form the very first day, the rest could finish the work in 15 days. The number of men originally employed were:
a) 12
b) 15
c) 18
d) 24

---

1. The factors of 15x²-26x+8 are:
a) (3x-4)(5x+2)
b) (3x-4)(5x-2)
c) (3x+4)(5x-2)
d) (3x+4)(5x+2)

---

2. x³+6x²+9x can be factorised as:
a) x²(x+2)²
b) x(x+3)²
c) x(x+3)
d) none of these

---

1. The following pie-charts show the distribution of students of graduate and post graduate levels in seven different institutes M,N,P,Q,R,S and T in a town.
DISTRIBUTION OF STUDENTS AT GRADUATE
AND POST GRADUATE LEVELS IN SEVEN
INSTITUTES M,N,P,R,S and T
Total number of students of graduate level = 27,300


Total number of students of
postgraduate level = 24,700

What is the ratio between the number of students studying at post-graduate and graduate levels respectively from institute S?
a) 14:19
b) 19:21
c) 17:21
d) 19:14

---

2. The line graph shows the price of chickens in town M and N. On which days are the price of chickens the same in both the towns?

a) Tuesday only
b) Friday only
c) Wednesday and Friday only
d) Tuesday and Friday only

---

1. There is one number which is formed by writting one digit 6 times (e.g.111111,4444444 etc.). Such a number is always divisible by:
a) 7 only
b) 11 only
c) 13 only
d) All the these

---

2. If a number is divisible by 9, then it is also divisible by which numbers?
a) 3
b) 6
c) 2
d) None of these

---