- olympiad@cscacademy.org

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

Q.1 Which of the following are not twin primes?

- (a) 3, 5
- (b) 11,13
- (c) 5,7
- (d) 17,23

Q.2 If the HCF of two numbers is 16 and their product is 3072 then their LCM is:

- (a) 182
- (b) 192
- (c) 12
- (d) None of these

Q.3 Choose the incorrect option:

- (a) -8 < 8
- (b) 0 < - 12
- (c) -15 < - 5
- (d) -386 < 308

Q.4 On a particular day the temperature of Delhi at 10.00 am was 13° C but by the midnight, it fell down to 6° C. The temperature of Mumbai at 10 am the same day was 18° C but fell down to 10° C by mid night. Which fall is greater?

- (a) Delhi
- (b) both are same
- (c) Mumbai
- (d) None of the above

Q.5 The value of 0.008 × 0.01 × 0.072 ÷ (0.12 × 0.0004) is-

- (a) 1.2
- (b) 0.12
- (c) 0.012
- (d) 1.02

Q.6 Determine whether the following sequence has a common difference. Find the common difference.

1, 4, 7, 10, 13, 16, 19

- (a) 3
- (b) 19
- (c) 7
- (d) 1

Q.7 What is the largest 5-digit number with distinct digit?

- (a) 99999
- (b) 90009
- (c) 98765
- (d) 98009

Q.8 Rearrange the digits 10075302 to get the smallest and the largest numbers?

- (a) 00012357,73521000
- (b) 10002357,75321000
- (c) 20001357,72351000
- (d) 12357000,70005321

Q.9 Divya bought 8 dozen apples. Out of these 8 were rotten. The ratio of rotten apples to the total number of apples is _______________ .

- (a) 1:2
- (b) 8:8
- (c) 1 : 12
- (d) 2:6

Instruction: Rajeev has a square plot of side 300 m.

Q.10 Find the cost of leveling it, if the rate of leveling is ₹ 1.32 per square meter.

- (a) ₹ 118800
- (b) ₹ 90000
- (c) ₹ 118008
- (d) None of above

Q.11 In the following question, select the odd word pair from the given alternatives.

- (a) Hanger:Aeroplane
- (b) Yard:Train
- (c) Depot:Bus
- (d) Scooter:Garage

Q.12 Ramakant walks North-wards. After a while he turns to his right and a little further to his left. Finally, after walking a distance of one kilometer, he turns to his left again. In which direction is he moving now?

- (a) North
- (b) South
- (c) East
- (d) West

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

- (a) Square
- (b) Equilateral Triangle
- (c) Rhombus
- (d) Right Angle Triangle

Q.14 Choose the correct statement.

- (a) 0 is a natural number.
- (b) 1 has a predecessor in natural number.
- (c) The predecessor of a five digit number can be six digit number.
- (d) Zero has no predecessor in whole numbers.

Q.15 Find the ratio of the price of coffee to that of tea, when coffee costs ₹ 24 per 100 gm and tea costs ₹ 80 per kg.

- (a) 3 : 1
- (b) 6 : 20
- (c) 3 : 6
- (d) 3 : 10