1. vijay and Bhaskar start from place P at 6:00 am and 7:30 am, respectively and run in the same direction. Vijay and Bhaskar run at 8 km/h and 12 km/h, respectively. Bhaskar overtakes Vijay at
1) 10:30 am 2) 9:00 am
3) 11:30 am 4) 1:00 am
2. In 1 km race, A beats B by 18m or 9s Find the A ‘s time over the course
1) 391s 2) 591s
3) 491s 4) 500S
3. In an examination, a student scores 4 marks for every correct answer and losses 1 mark for every wrong answer. A student attempted all the 200 questions and scored 200 marks. Find the number of questions, he answered correctly.
1) 82 2) 80 3) 68 4) 60
4-5. A basket contains 3 blue , 2 green and 5 red balls. If three balls are picked at random, what is the probability that atleast one is red
1)1/2 2)7/12
3)11/12 4)1/5
5. If four balls are picked at random, what is the probability that two are green and two are blue
1)1/18 2)1/70
3)3/5 4)1/2
6. The area of a rectangular field is 400 sq m. If the breadth of the field is 16 m, find the length of the field
1) 20m 2) 25m
3) 35m 4) 45m
7. The area of a rectangle lies between 40 sq cm and 45 sq cm.If one of the sides is 5 cm, then its diagonal lies between
1) 8cm and 10 cm
2) 9 cm and 11 cm
3) 10cm and 12 cm
4) 11 cm and 13 cm
8. The area of a rectangle is 4 times of the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3 rd of the side of the square. What is the side of the square?
1) 10cm 2) 20 cm
3) 15cm
4) Couldn’t be determined
9. The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle.
1) 245 sq cm 2) 235 sq cm
3) 265 sq cm 4) 255 sq cm
10. A square, a circle and equilateral triangle have same perimeter. Consider the following statements
I. The area of square is greater than the area of the triangle.
II.The area of circle is less than the area of triangle.
Which of the statement is /are correct
1) Only I 2) Only II
3) Both I and II 4) Neither I nor II
11. The circumference of a circle is equal to the perimeter of a rectangle. The length and the breadth of the respectively.What is the half the radius of the circle
1) 56 cm 2) 14 cm
3) 28 cm 4) 7 cm
12. If a radius of a cylinder is incre ased by 10%, while height remains uncha nged, by what percent does the volume of cylinder increase
1) 21% 2) 20%
3) 11% 4) 43%
13. A hemisphere has 28 cm diameter. Find its curved surface area
1) 1232 sq cm 2) 1236 sq cm
3) 1238 sq cm 4) 1233 sq cm
14. A sphere of radius r has the same volume as that of cone with a circular base of radius r. Find the height of the cone.
1) 2r 2) r/2
3) 4r 4) 2r/3
15. Consider the following statements I.The perpendicular bisector of a chord of a circle does not pass through the centre of the circle
II.The angle in a semi – circle is a right angle.
Which of the statements given above is/ are correct
1) Only I 2) Only II
3) Both I and II 4) Neither I nor II
16. If sec A + tan A =2 , what is the value of sec A
1) 3/2 2) 5/2 3) 5/4 4) 1/2
17-20. Study the following table and answer the questions based on it. The table given below depicts the ex port of a commodity through four parts in the year 1998 and 1999
17. The percentage increase in the export of the commodity from the year 1998 to 1999 was the highest from which port
1) A 2) B 3) C 4) D
18. What was the change in the arrogate export of the commodity in the year 1999 as compared to the year 1998
1) Nearly 4.3% increase
2) Nearly 4.3% decrease
3) Nearly 0.04% increase
4) Nearly 0.04% decrease
19. What was the average increase in the export of the commodity from the ports in the year 1999 as compared the year 1998
1) Rs 82500000 2)Rs 80000000
3) Rs 75000000 4) Rs 62500000
20. The percentage increase in the expo rt of the commodity from the year 1998 to 1999 was the lowest from which port
1) A 2) B 3) C 4) D
21. A and B started a business with Rs 20000 and Rs 35000 respectively. They agreed to share the profit in the ratio of their capital.C joins the partnership with the condition that A,B and C will share profit equally and pays Rs 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio of
1) 10:1 2) 1:10
3) 9:10 4) 10:9
22. A and B together start a business by investing in the ratio of 4:3.If 9% of the total profit goes to charity and A’s share is Rs 1196, find the total profit.
1) Rs 2300 2) Rs 4435
3) Rs 2093 4) Rs 2700
23. A container is filled with liquid , 6 part of which are water and 10 part milk. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half milk
1) 1/3 2) 1/7 3) 1/5 4) 1/8
24. The true discount at a bill of Rs 7440 due 16 months , hence is Rs 240.Find the banker’s gain
1) Rs 10 2) Rs 6
3) Rs 4 4) Rs 8
25. A student was awarded certain marks in an examination. However, after re – evaluation, his marks were reduced by 40% of the marks that were originally awarded to him, so that the new score now became 96.How many marks did the student lose after re-evaluation
1) 58 2) 68 3) 63 4) 64
26. Each student of class 10 contribu ted some money for a picnic. The money contributed by each student was equal to the cube of the total number of students. If the total collected amount was Rs 29791, then find the total number of students
1) 15 2) 27 3) 31 4) 34
27. 1/4th of number of boys and 3/8th of number of girls participated in annual sports of the school. What fractional part of total number of students participated
1) 32% 2) 20% 3) 36%
4) Data inadequate
28. Three bells chime at intervals of 48,60 and 90 min, respectively. If all the three bells chime together at 10:00 am , at what time will all the three chime again that day
1)1:00 pm 2)2:00 pm
3)8:00 pm 4)10:00 pm
29. The LCM of two numbers is 48. The numbers are in the ratio of 2:3. Find the sum of the numbers
1) 28 2) 32 3) 40 4) 64
30. A number divided by 56 gives 29 as remainder. If the same number is divided by 8, the remainder will be
1) 4 2) 5 3) 6 4) 7
31. In a test , A scored 10% more than B and B scored 5% more then C. If C scored 300 marks out of 400, then A ‘s marks are
1) 310 2) 325 3) 350 4) 360
KEY
1)1 2)3 3)2 4)3 5)2
6)2 7)2 8)3 9)4 10)1
11)2 12)1 13)1 14)3 15)2
16)3 17)2 18)1 19)4 20)3
21)1 22)1 23)3 24)4 25)4
26)3 27)4 28)4 29)3 30)2
31)4
- సి. జయప్రకాశ్ రెడ్డి
అర్థమెటిక్ ఫ్యాకల్టీ
మెదక్
ఫోన్:9014344506
Authorization