Mathematics - Facts, Concepts and Questions

1.  Listed below are the temperature in °C for 10 days.     –6, –8, 0, 3, 2, 0, 1, 5, 4, 4     What is the range of the data? 2.  Find the sum of mode and median of the data:     12, 15, 11, 13, 16, 15, 16, 16, 8, 15, 17, 18, 11, 16, 12, 13 3.  Given below the ages of 40 students in a class. Their ages are as follows:      13, 21, 6, 5, 8, 17, 14, 13, 6, 6, 7, 8, 15, 16, 9, 10, 10, 9, 7, 8, 15, 14, 12, 11, 9, 7, 6, 8, 9, 10, 13, 17, 17, 16, 9, 12, 9, 8, 13, 14 Construct a frequency distribution table with class intervals 5-10, 10-15 etc. 4. The hourly wages (in Rs.) of 40 workers in a company are given below:     30, 35, 90, 10, 35, 36, 69, 45, 98, 89, 82, 86, 35, 83, 85, 35, 38, 88, 84, 75, 65, 70, 55, 78, 69, 82, 47, 32, 85, 95, 30, 36, 92, 12, 34, 76, 64, 25, 48, 99 Construct a frequency distribution table. 5.  The marks scored by 15 students in a math exam are as follows: ...

1.    The sides of a triangular field are 61 m, 60 m and 11 m. Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs 900 sq cm space. 2    The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m and 15 m. The advertisements yield an earning of Rs 1500 per sq m a year. A company hired one of its walls for 6 months. How much rent did it pay? 3.    From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle. 4.    The perimeter of an isosceles triangle is 40 cm. The ratio of  the equal side to its base is 4 : 3. Find the area of the triangle. 5.    (a)    The perimeter of a triangular field is 720 m and its sides are in the ratio 7 : 8 : 9. Find the area of the t...

1.    Insert commas suitably and write the names according to International System of Numeration :     (a)    523427310              (b)    0013003002     (c)    403010009              (d)    750043109 2.    Write the number names of the following numbers in Indian system.     (a)    364953        (b)    8495472     (c)    267300375                (d)    453764894 3.     Fill in the blanks:     (a)    2 arab = _______ billion.     (b)    4 million = _______ lakh.     (c)    3...

1.    In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?     (a)    45 boys    (b)    48 boys     (c)    40 boys    (d)    42 boys 2.    While preparing for a management entrance examination, Romit attempted to solve three papers, namely Mathematics, Verbal English and Logical Analysis, each of which have the full marks of 100. It is  observed that one-third of the marks...

1.     किसी व्यापारी को 35 मी ] 42 मी और 63 मी लम्बे लकड़ी के 3 तख्तों में से बड़े-से-बड़े बराबर माप के कितने तख्ते मिल सकते हैं?     (a)     18        (b)    19        (c)    20        (d)    21 1.    (c)    35=7 × 5              42=7 × 3 × 2              तथा 63=7 × 3 × 3              इसलिए, ल.स. = 7              अतः तख्तों की संख्या = 5 + 6 + 9 = 20 2.      वह छोटी से छोटी पूर्ण वर्ग संख्या, जो 21, 36 और 66 से विभाजित हो जाती है, है      (a)    214334 214334       ...

1.    A closed right circular cylinder has volume 2156 cubic units. What should be the radius of its base so as total surface are is minimum? (Take π = 22/7)        (a)    2 cm     (b)    4 cm    (c)    5 cm     (d)    7 cm 2.     A right angled triangle with hypotenuse h has maximum area if one of remaining sides is