Q1. Two persons M and N buy two bikes. M sells his bike at a profit of 25% and N sells his bike at a loss of 16%. If selling price of bike sold by M is Rs. 54,000 and cost price of both bikes is same then what is the selling price of bike sold by N?
(a) Rs. 32,688
(b) Rs. 36,288
(c) Rs. 38,268
(d) Rs. 34,688
(e) Rs. 32,488
Q2. Mr. Singh’s monthly salary is Rs. 45,000. He spends Rs. 5000 on food, 25% of remaining on house rent and education of his children, 20% of the remaining on shoping and rest amount he invests in a scheme which offer 10% simple interest per annum. Find, after a month the total sum obtained by Mr. Singh, from the scheme is how much (approximately)?
(a) Rs. 26,520
(b) Rs. 22,520
(c) Rs. 24,200
(d) Rs. 25,400
(e) Rs. 24,720
Q3. Two trains A and B are running in same direction from the same station. The speed of train A is five-fourth of the speed of train B. If train B crosses a platform in 32 second then in how much time train A will cross the same platform if length of train B is 200m and that of train A is 125% of the length of train B, also train A crosses a man in 10 seconds?
(a) 10.8 sec
(b) 12.8 sec
(c) 18.4 sec
(d) 14.8 sec
(e) 27.6 sec
Q4. In a college there are 7 boys and 6 girls. What is the probability of making a team of five students which contains at least two girls?
(a) 352/429
(b) 161/3003
(c) 562/3003
(d) 3/5
(e) 2/7
Q5. The height of a cone is seven fourth of the height of a cylinder. The Volume of cylinder is equal to the volume of a cube with side is 22 m. If radius of cylinder is 7m then what is the height of the cone?
(a) 77 m
(b) 66 m
(c) 121 m
(d) 111 m
(e) 55 m
Directions (6-10): What will come in place of (?) in the following questions?
Q6. 621 × ? × 6 = 152766
(a) 39
(b) 43
(c) 47
(d) 41
(e) 46
Q8. 6784 + 2213 + 844 – ? = 6743 + 775
(a) 2332
(b) 2323
(c) 2343
(d) 2442
(e) 2424
Q9. 11960 ÷ ? = 65 × 23
(a) 6
(b) 11
(c) 3
(d) 8
(e) 12
Q10. ?/1089=64/?
(a) 264
(b) 258
(c) 236
(d) 244
(e) 246
Directions (11-15): Given below are 3 statements with each question, you have to decide that which of the following statement/statements are necessary to answer the question.
Q11. X, Y and Z secured 45%, 50% and 60% marks respectively in Biology. W’s marks in Biology is 12.5 more than X’s marks and 4 less than Z’s marks. Find out the individual marks of four students.
A. For the students total marks obtained for Biology is 311.5.
B. Total of W’s and X’s marks in Biology is 147.5.
C. Z has obtained 84 marks.
(a) A and B together
(b) Only C
(c) A and either B or C
(d) All together
(e) None of the above
Q12. At what time will a train reach Lucknow from Patna?
A. The train crosses another train of equal length of 97.5 m and running in opposite direction in 9 sec.
B. The train leaves Patna at 11:15 am for Lucknow, which is at a distance of 567 km.
C. The 97.50-m-long train crosses a signal pole in 5 sec.
(a) Only A
(b) B and C together
(c) A and C together
(d) All statements are required
(e) Only B
Q13. Find the height of an equilateral triangle.
A. Perimeter of the triangle is equal to the perimeter of the rectangle whose length and breadth are in the ratio of 5 :3.
B. Perimeter of a square is known, which is twice the perimeter of the triangle.
C. Area of the triangle is known.
(a) Any two of them
(b) Any of them
(c) Only C
(d) Either B or C alone
(e) A and either B or C
Q14. What is the value of a two–digit number?
A. The sum of the digits is 5.
B. The difference of the squares of the digits is 15.
C. The difference of their digits is 3.
(a) A and B together are sufficient
(b) B and C together are sufficient
(c) C and A together are sufficient
(d) Any one pair of A and B, B and C or C and A is sufficient
(e) Data inadequate
Q15. A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required?
A. Distance between point A and B.
B. Time taken to travel downstream from B to A.
C. Speed of the stream of water.
(a) All are required
(b) Any one pair of A and B, B and C or C and A is sufficient.
(c) Only A and B
(d) Only A and C
(e) None of these