Lekhpal 2015 - Mathematics Paper Set 1st

Here I am presenting the first practice set of Miscellaneous Mathematics Questions, from the Question Paper of Lekhpal held on 13^th September for the post in the District Lucknow on the special demand of one of our sincere visitor, Vikash. This practice set contains 25 Questions of mathematics from the question Paper. I hope that you will be able solve these questions, in case any problem you may ask for help by sending the “solution required for question no......” in comment or through forum.

Q1. The area of a rhombus is 500 cm² and the length of one of its diagonal is 25 cm. Then the length of the other diagonal is

(a) 30 cm          (b) 20 cm          (c) 50 cm        (d) 40 cm. 

Q2. The most frequently occurring value of a data set is called as

(a) Range       (b) Mode      (c) Mean             (d) Median.

Q3. Raghu travelled 1200 km by air which formed 2/5^th of his trip. 1/3^rd of the whole trip he travelled by car and rest of the journey he did by train. The distance travelled by the train is   

(a) 800 km            (b) 1800 km            (c) 480 km        (d) 1600 km

Q4. The lengths of the three sides of a triangle are 35 cm, 40 cm and 45 cm respectively. The approximate area of the triangle will be  

(a) 762.82 cm²     (b) 678.82 cm²         (c) 760.82 cm²           (d) 670.82 cm²

Q5. The sum of three numbers is 392. The ratio of first and second number is 2:3 and that of second and third number is 5:8. Then the first number is

(a) 80                  (b) 120                      (c) 60                           (d) 100 

Q6. A trader marks his items by increasing the price by 25%. If he gives 4% discount on the marked price, what will be his gain percentage?

(a) 25%            (b) 10%                       (c) 15%                       (d) 20% 

Q7. The average of

n, (n + 1), (n + 2), (n + 3), (n + 4), (n + 5) is

(a) [n + (5/2)]           (b) (n + 2)         (c) 3(2n + 5)             (d) n (2)^1/2

 

Q8. Suresh and Sandeep are partners in a business. Suresh puts Rs. 5000/- for 5 months and Sandeep puts Rs. 6000/- for 6 months in the business. At the end of the year how much amount will Sandeep receive from a total profit of Rs. 610/- ?

(a) Rs. 360/-             (b) Rs. 410/-        (c) Rs. 380/-          (d) Rs. 400/- 

         

Q9. The value of [15612 + {154 + (225)^1/2 }^1/2 ]^1/2

(a) 110                    (b) 115                 (c) 125                (d) 99            

Q10. Two numbers are in the ratio of 3:5 and their LCM is 300. The smaller number is

(a) 45                     (b) 75                    (c) 60                  (d) 90

Q11. If the mean and coefficient of standard deviation of a set of data are 10 and 5 respectively, then the standard deviation of the data set is

(a) 10                    (b) 50                     (c) 5                   (d) 1

Q12. The largest four digit number which can be divided by 24, 30, 36 each is

(a) 9620                (b) 9360                (c) 9960              (d) 9840 

Q13. If [x² + (1/x²)] = 23, then the value of [x⁴ + (1/x⁴)] is

(a) 526                  (b) 429                 (c) 629                (d) 527 

Q14. If the sides of a triangle are in the ratio of 3 :4 :5  and its area is 216 cm², then the perimeter of the triangle is

(a) 72 cm               (b) 76 cm            (c) 84 cm             (d) 80 cm 

Q15. A researcher has collected the following sample data :-

5, 12, 6, 8, 5, 6, 7, 5, 12, 4, 1

The median is

(a) 5                       (b) 6                    (c) 7                       (d) 8.

Q16. The average age of 15 students in a class is 15 years. Among this the average age of 5 students is 14 years and the average age of 9 other students is 16 years. The age of the 15^th student is

(a) 15 years          (b) 14 years        (c) 11 years            (d) 15 whole (2/7) years.

Q17. The LCM and HCF of two numbers are 520 and 4 respectively. If one of these numbers is 52, then the other number is

(a) 52                     (b) 40                 (c) 42                       (d) 50.

Q18. The height of an equilateral triangle whose each side is 4 cm, is

(a) 4(3)^1/2 cm       (b) (3)^1/2 cm      (c) 2(3)^1/2 cm          (d) 3(3)^1/2 cm.

Q19. A, B and C are shareholders in a company. In a certain year A got 1/3^rd share of the profit, B received 1/4^th share and C got Rs. 5000/-. Then how much profit did A get?

(a) Rs. 5000/-      (b) Rs. 1000/-   (c) Rs. 4000/-        (d) Rs. 3000/-.

Q20. The smallest number by which 512 is multiplied so that the product is a perfect cube is

(a) 7                       (b) 8                    (c) 9                       (d) 10.

Q21. 720 sweets were distributed equally amongst the children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

(a) 14                    (b) 11                   (c) 15                   (d) 12.

Q22. Three different containers contain different quantities of a mixture of milk and water, whose measurements are 403 litres, 434 litres, and 465 litres. What biggest measure (in litres) must be there to measure all the different quantities exactly?

(a) 51                    (b) 41                    (c) 31                  (d) 70.

Q23. If 1 is added to the denominator of a fraction, the fraction becomes ½. If 1 is added to the numerator, the fraction becomes 1. The sum of numerator and denominator of the fraction is

(a) 14                   (b) 21                     (c) 5                    (d) 11.

Q24. A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs. 300/- more. The sum is

(a) Rs. 5,500/-      (b) Rs. 5,000/-   (c) Rs. 5,400/-   (d) Rs. 5,300/-.

Q25. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?

(a) 24 days            (b) 22 days         (c) 12 days         (d) 18 days.

Hope you will be able to solve these questions by your own. Visitor’s are warm heartedly welcomed with their related problems and queries. The solution of these questions (practice set) will be posted soon on this blog. More Conceptual enjoyment will be continued for you soon, just keep visiting this blog regularly and writing me your related queries through comment or forum.

Best of Luck for Exams. To be continued soon........................