- olympiad@cscacademy.org

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

A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is-

- (a) 0
- (b) 2
- (c) 1
- (d) 3

Q.2 Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is-

- (a) 25
- (b) 10
- (c) 15
- (d) 20

Q.3 If 21 is added to a number, it becomes 7 less than thrice of the number. Then, the number is-

- (a) 14
- (b) 16
- (c) 18
- (d) 19

Q.4 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.5 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.6 If 5 is added to twice of a number it becomes 6, then the number is:

- (a) 0.5
- (b) 5
- (c) 0.25
- (d) None of these

Q.7 The sum of the two numbers is 11 and their product is 30, then the numbers are____

- (a) 8, 3
- (b) 9, 2
- (c) 7, 4
- (d) 6, 5

Q.8 In measuring the sides of a rectangle, there is an excess of 5% on one side and 2% deficit on the other. Then the error percent in the area is____

- (a) 3.3
- (b) 3.0
- (c) 2.9
- (d) 2.7

Q.9 In a quadrilateral, half of the product of the sum of the lengths of parallel sides and the parallel distance between them gives the area of

- (a) rectangle
- (b) parallelogram
- (c) triangle
- (d) trapezium

Q.10 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.11 If the letters in ‘PRABA’ are coded as 27595 and ‘THILAK’ are coded 368451, how can ‘BHARATHI’ be coded?

- (a) 96575368
- (b) 57686535
- (c) 96855368
- (d) 37536689

Instruction:(12-13)In the following questions, select the related word/ number from the given alternatives.

Q.12 Book: Shelf-Clothes : ?

- (a) Hanger
- (b) Cupboard
- (c) Wardrobe
- (d) Bureau

Q.13 125 : 5 : : 64 : ?

- (a) 8
- (b) 4
- (c) 2
- (d) 32

Instruction: Fill in the blank with the appropriate words. Your options are-Say/Tell/Speak/Talk.

Q.14 A shopkeeper marks his goods 15% above cost price, but allows 20% discount for cash. His net loss is:

- (a) 3%
- (b) 5%
- (c) 8%
- (d) 10%

Q.15 Two parallel lines are cut by a transversal, then which of the following are true?

1. Pair of alternate interior angles are congruent.

2. Pair Of corresponding angles are congruent.

3. Pair of interior angles on the same side of the transversal are supplementary.

- (a) 1, 2, 3 are true
- (b) 1 and 3 are true
- (c) 1 and 2 are true
- (d) 2 and 3 are true