A person cover a distance of 450 km partly by train and partly by car If he travels 100 km by train rest by car it-takes 8 hours and if he covers 170 by train and rest by car it takes him 8 hours 12 minute to cover that distance. Find the speed of train. […]
In a class, the average weight of 40 boys is 65 kg and that of 50 girls is 60 kg. After a few days, 40% of the girls and 50% of the boys leave. What would be the new weight of the class (in kg)? Assume that the average weight of the boys and the
Speed of boat in still water is 12 km/h and speed of stream is 4 km/h. The boat takes total 6 hours to go and come back, Find the length of river. (a) 23 km (b) 45 km (c) 32 km (d) 54 km Sol:
While tabulation of marks scored in an examination by the students of a class, by mistake the marks scored by one student got recorded as 93 in place of 63, and thereby the average marks increased by 0.5. What was the number of students in the class? (a) 20 (b) 60 (c) 30 (d) 15
LCM and HCF of two four digits number are 21527 and 103 find the sum of these two numbers? (a) 2884 (b) 2464 (c) 3129 (d) 3090 Sol: Numbers are 103x, 103y Numbers Sum of numbers 103(11 + 19) = 3090
If (a+b)=2,(b+c)=1, and (c+a)=3 then find a3+b3+c3 ? (a) 3 (b) 1 (c) 8 (d) 9 Sol: a + b = 2 b + c = 1 c + a = 3 (a + b + c) = 3 Cube both sides a³ + b³ + c³ + 3(a + b) (b + c) (c
If (a+b)=2,(b+c)=1, and (c+a)=3 then find a3+b3+c3 Read More »
The expression is equal to (a) – – (b) – + (c) – – (d) ( + – ) Sol: As we know (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
Find the value of if A + B + C = 0 (a) ½ cosA cosB cosC (b) ¼ secA secB secC (c) ½ secA secB secC (d) ½ secA cosB cosecC Sol: As we know that: tanA + tanB + tanC = tanA tanB tanC Sin2A + sin2B + sin2C = 4 sinA sinB
Find the value of tanA+tanB+tanC/sin2A+sin2B+sin2c Read More »
If two circles of radius 7 cm and 8 cm have two common tangent AB and CD which touch the circle on A, C and B, D respectively and if CD = 26, find the length of AB. (a) 33 (b) 30 (c) 27 (d) 29 Sol: Let difference between centers of the circles =
The marked price of an article is Rs 1700. If two successive discounts, each of x%, on the marked price is equal to a single discount of Rs 584.63, then what will be the selling price of the article if a single discount of x% is given on the marked price? (a) 1431 (b) 1343
