வெல்லுங்கள் CSAT 2025 - 33: மாதிரித் தேர்வு - 2 - கணிதவியல்

Questions & Answers - (Multiple Choice) - Model Test 2 - 40 minutes
கொள்குறி வினா- விடைகள் - மாதிரித் தேர்வு - 2 - கணிதவியல்

1. The greatest number that will divide 3071 and 5098 leaving remainders 11 and 13 respectively is
a. 15 b. 30
c. 45 d. 60

2. In a building there are 5 rooms and each having an equal area. The length, breadth and height are 5m, 4m and 3m respectively. If 19 bricks are needed to floor one sq.metre, the number of bricks needed to make the floor of a particular room is
a. 300 b. 380
c. 340 d. 1900

3. A pipe can fill a empty tank in 6 hours. But due to leak it will take half an hour more. If the tank is full, then how long will it take to empty the tank?
a. 78 hrs b. 72 hrs
c. 66 hrs d. 60 hrs.

4. The value of
{(1.732×1.732×1.732) -(1.414×1.414×1.414)} ÷
{(1.732×1.732) +(1.732×1.414) +
(1.414×1.414)}
a. 3.146 b. 0
c. 1 d. 0.318

5. A chef has to make pizza with different flavours. There are 8 different flavours are available. In how many ways does he make pizzas with two different flavours?
a. 56 b. 28
c. 16 d. 14

6. A car manufacturer produces only white, red and blue model cars which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come through the test area at any one time?
a. One in 5 b. One in 3
c. One in 81 d. One in 243

7. If the difference between two integers is 5 and their product is 14. The difference of squares of the two numbers is
a. 45 b. 9
c. 53 d. 24

8. In a farm, there are some cows and sime hens. If the total number of legs and heads are 160 and 60 respectively. The number of hens is
a. 20 b. 30
c. 35 d. 40

9. If Rahim's income is 100% more than Ram, then how much percentage of Ram's income is less than that of Rahim?
a. 100 b. 50
c. 200 d. 150

10. An athlete decides the same distance in one-fourth less time that he usually took. By how much percentage will he increase his original average speed?
a. 25 b. 40
c. 33.3 d. 20

11. The sum of digits of a two digit number is 10. And the digit in unit place is smaller than the digit in tenth place. Find the two digit number.
a. 91 b. 82
c. 64 d. Cannot be determined.

12. The ages of Shyam and Ramesh are in the ratio 8 : 15. After 9 years the ratio of their ages will be 11 : 18. Find the sum of their present ages.
a. 69 b. 23
c. 29 d. 46

13. Usually a man walks at the rate of
5 kmph and runs at 10 kmph. How long will he require to cover the distance of 32km if he covers half of his journey by running and the rest by walk?
3.2 1.6 4.8
a. 4 hrs b. 4 hrs 48 mts
c. 5 hrs 16mts d. 4 hrs 8 mts

14. In an examination it is required to secure 33% of the aggregate marks to pass. A student got 198 marks and is declared failed by 33 marks. What is the maximum aggregate marks that a student can get?
a. 500 b. 600
c. 700 d. 800

15. In how many ways can the letters of the word VERTICAL be arranged so that the consonants always come together?
a. 8! b. 5! 3!
c. 4! 4! d. 4! 5!

16. In a lottery, there are 10 prizes and 40 blanks. A lottery is drawn at random.
The probability of getting aprize is
a. 0.5 b. 0.2
c. 0.4 d. 0.1

17. An observer 1.7m tall is 25√3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is
a. 25 m b. 25√3 m
c. 26.7 m d. 23.3 m

18. A man walked diagonally across a square plot. Approximately what was the percentage saved by not walking along the edges?
a. 20 b. 25
c. 35 d. 30

19. P and Q can together finish a work in 30 days. They worked together for 20 days and then P left. After another 20 days Q finished the remaining work. In how many days P alone can finish the work?
a. 60 b. 54
c. 50 d. 48

20. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men be catered to with the remaining meal?
a. 20 b. 30
c. 50 d. 40

21. P, Q and R start at the same time in the same direction to run around a circular stadium. A compltes one round in 126 seconds, B in 154 seconds and C in 99 seconds, all starting at the same point. After what time will they again at the starting point?
a. 26 minutes 3 seconds
b. 46minutes 12 seconds
c. 23 minutes 6 seconds
d. 44 minutes

22. P lent ₹5000 to Q for 2 years and ₹3000 to R for 4 years on simple interest at the same rate of interest and received ₹2200 in all from both of them as interest. Th rate of interest per annum is
a. 10 b. 9
c. 11 d. 8

23. A flagstaff 17.5m high casts a shadow of length 40.25m. The height of the building which casts a shadow of length 28.75m under similar condition will be
a. 10 m b. 12.5 m
c. 15 m d. 18.5 m

24. What will be the compound interest on a sum of ₹18000 for 2 years at the rate of 15% per annum provided the interest is compounded yearly?
a. ₹5600 b. ₹6400
c. ₹5905 d. ₹5805

25. A train 360m long is running at a speed of 54kmph. In what time will it pass a bridge 150m long?
a. 28 sec b. 32 sec
c. 34 sec. d. 40 sec