CTET Sample Question Paper on Numeric Ability

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Q1. What is the greatest number that will divide 2930 and 3250 and will leave as remainders 7 and 11 respectively?

(a) 75, (b) 79, (c) 80, (d) 83

Q2. Mahesh took a loan at 10% P.A. simple interest. After 4 years he returned the principal along with the interest. If he returns in all Rs. 3500, what is the principal amount?

(a) Rs. 3250, (b) Rs. 2500, (c) Rs. 3150, (d) Rs. 2100

Q3. 77.74 + 25.12 - ? = 90.05

(a) 12.51, (b) 37.43, (c) 12.81, (d) 52.62

Q4. Pawan prepared 50 show pieces of sandalwood. The cost of production of each piece was Rs. 10. Apart from this he has to pay Rs. 5 per piece as commission to the selling agent and Rs. 1 per piece to the workshop assistant. What should be the selling price of each article if he wishes to sell them at 30% profit?

(a) Rs. 14.43, (b) Rs. 16.48, (c) Rs. 20.80, (d) Rs. 84.50

Q5. What least number should be added to 3500 to make it exactly divisible by 42, 49, 56 and 63?

(a) 25, (b) 26, (c) 27, (d) 28

Q6. Fruit vendor purchased 35 dozen apples at Rs. 10 per dozen. Out of this 2 dozen got rotten and he sold 28 dozen at Rs. 12 per dozen. Remaining apples were sold by him at Rs. 15 per dozen. What profit did he make in this transaction?

(a) Rs. 122.50, (b) Rs. 61, (c) Rs. 56, (d) Rs. 41

Q7. The diagonal of a square is 4v 2 cm. The diagonal of another square whose area is double that of the first square is— (v = root)
(A) 8 cm, (B) 8v2 cm, (C) 4v 2 cm, (D) 16 cm

Q8. A train starts with the speed of 70 km/hr with its speed increasing every two hours by 10 km/hr. In how many hours will it cover 345 kms ?
(A) 2¼ hrs, (B) 4 hrs 5 mins, (C) 4½ hrs, (D) None of the above

Q9. How long does a train 110 metres long running at the speed of 72 km/hr take to cross a bridge 132 metres in length?
(A) 9•8 sec, (B) 12•1 sec, (C) 12•42 sec, (D) 14•3 sec

Q10. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water ?
(A) 40 mins, (B) 1 hr, (C) 1 hr 15 mins, (D) 1 hr 30 mins

Q11. The ratio of the incomes of A and B is 5 : 4 and the ratio of their expenditure is 3 : 2. If at the end of each year, each saves Rs. 1600, then the income of A is—
(A) Rs. 3400, (B) Rs. 3600, (C) Rs. 4000, (D) Rs. 4400

Q12. Half of 1 per cent is equal to—
(A) 0•005, (B) 0•05, (C) 0•02, (D) 0•2

Q13. If 3/5th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it ?
(A) 40 sec, (B) 30 sec, (C) 36 sec, (D) 24 sec

Q14. In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth Rs. 8 per litre ?
(A) 1 : 2, (B) 2 : 1, (C) 2 : 3, (D) 3 : 2

Q15. A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is—
(A) 214, (B) 476, (C) 954, (D) 1908

Q16. The difference between simple and compound interest @ 10% per annum on a sum of Rs. 1000 after 4 years is
(A) Rs. 31, (B) Rs. 32•10, (C) Rs. 40•40, (D) Rs. 64•10

Q17. The maximum length of a pencil that can by kept in a rectangular box of dimensions 8 cm × 6 cm × 2 cm, is—
(A) 2v13 cm, (B) 2v14 cm, (C) 2v26 cm, (D) 10v2 cm

Q18. What is the smallest number by which 3600 be divided to make it a perfect cube ?
(A) 9, (B) 450, (C) 50, (D) 300

Q19. At what time between 9 and 10 o’clock will the hands of a watch be together ?
(A) 45 min past 9, (B) 50 min past 9, (C) 49 1/11 min past 9, (D) 48 2/11 min past 9

Q20. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the number is reversed. The number is—
(A) 18, (B) 42, (C) 81, (D) 24

Q21. The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm2 . The volume of the cuboid is—
(A) 24 cm3, (B) 48 cm3, (C) 64 cm3, (D) 120 cm3

Q22. In a school 10% of the boys are same in number as ¼ th of the girls. What is the ratio of boys to girls in the school ?
(A) 3 : 2, (B) 5 : 2, (C) 2 : 1, (D) 4 : 3

Q23. X got 30% concession on the labelled price of an article and sold it for Rs. 8750 with 25% profit on the price she bought. What was the labelled price ?
(A) Rs. 16,000, (B) Rs. 12,000, (C) Rs. 10,000, (D) None of the above

Q24. A vendor loses the selling price of 4 oranges on selling 36 oranges. Her loss per cent is—
(A) 10%, (B) 11 1/9 %, (C) 12 ½ %, (D) None of the above

Q25. In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining food last now ?
(A) 180, (B) 285, (C) 139 16/19, (D) 28•5

Q26. A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds in terms of ratio of their speed.
(A) Dog’s speed : hare’s speed = 15 : 16 , (B) Dog’s speed : hare’s speed = 16 : 15
(C) Dog’s speed : hare’s speed = 3 : 5, (D) Dog’s speed : hare’s speed = 5 : 3

Q27. The ratio of the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is
(A) 70 km/hr, (B) 75 km/hr, (C) 84 km/hr, (D) 87•5 km/hr

Q28. In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is—
(A)29 years, (B) 19 years, (C) 49 years, (D) 39 years

Q29. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in—
(A) 6 hours, (B) 6 2/3 hours, (C) 7 hours, (D) 7 ½ hours

Q30. The present ages of three persons are in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years)—
(A) 20, 35, 45, (B) 8, 20, 28, (C) 16, 28, 36, (D) 20, 36, 46

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ANSWER SHEET: 1. B, 2. B, 3. C, 4. C, 5. D, 6 B., 7A, 8C, 9B, 10C, 11C, 12A, 13A, 14A, 15A, 16D, 17C, 18B,

19C, 20D, 21B, 22B, 23C, 24A, 25B, 26B, 27D, 28D, 29C, 30C