#### Mock Instructions

• 1. This is Model Question Paper.
• 2. This is an Online Worksheet.
• 3. Total Questions-50.
• 4. Total Time-60 minutes.

#### Section-1 Mathematical Thinking

Q.1 The literal coefficient of -9xyz2 is

• (a) -9
• (b) xy
• (c) xyz2
• (d) -9xy

Q.2 a(b-c)+b(c-a)+c(a-b) is equal to

• (a) ab+bc+ca
• (b) 0
• (c) 2(ab+bc+ca)
• (d) none of these

Q.3 Area of a triangle is 30 cm2. If its base is 10 cm, then its height is

• (a) 5 cm
• (b) 6 cm
• (c) 7 cm
• (d) 8 cm

Q.4 If each edge of a cube is increased by 40% the percentage increase in its surface area is__

• (a) 40
• (b) 60
• (c) 80
• (d) 96

Q.5 If P and Q are any two points on a circle, then the line segment PQ is called a

• (a) radius of the circle
• (b) diameter of the circle
• (c) chord of the circle
• (d) secant of the circle

#### Section-2 Application Mathematics

Q.6 The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is

• (a) 30
• (b) 33
• (c) 36
• (d) 45

Q.7 The sum of a two digit number and the number obtained by reversing its digits is a square number. How many such numbers are there?

• (a) 5
• (b) 6
• (c) 7
• (d) 8

Q.8 Find three consecutive numbers such that twice the first, three times the second and four times the third together make 191.

• (a) 19, 20, 21
• (b) 21, 22, 23
• (c) 20, 21, 22
• (d) 22, 23, 24

Q.9 If the square of the hypotenuse of an isosceles right triangle is 200 cm2, then the length of each side will be-

• (a) 15 cm
• (b) 200 cm
• (c) 10 cm
• (d) None of these

Q.10 ABC is a triangle such that AB = 10 and AC= 3. The side BC is

• (a) equal to 7
• (b) less than 7
• (c) greater than 7
• (d) None of the above

#### Section-3 Logical Thinking

Q.11 Find out the wrong number from the given series.

5, 27, 61, 122, 213, 340, 509
• (a) 27
• (b) 61
• (c) 122
• (d) 509

Q.12 In the following questions, find the odd word from the given alternatives.

• (a) Chop
• (b) Slit
• (c) Chirp
• (d) Slice

Q.13 In each of the following questions, select the one which is different from the other three alternatives.

• (a) 8 -11
• (b) 1- 4
• (c) 7-10
• (d) 3 - 5

#### Section-4 High Order Thinking (HOT)

Q.14 A is thrice as good a workman as B and therefore is able to finish a job in 40 days less than B. Working together, they can do it in:

• (a) 14 days
• (b) 13 days
• (c) 20 days
• (d) 15 days

Q.15 A shopkeeper takes Rs. 10 for every bottle of coke or 240 for every carat of 30 bottles. If Vandana wants to buy 185 bottle of coke, what amount she will have to pay?

• (a) 1480
• (b) 1490
• (c) 1600
• (d) 1850