Q2. Pipe A can fill an empty tank in 20 min but pipe B can fill it in 16 min. If both pipe is open together, after how much time pipe A should be closed, so that when tank will full, the temperature of water if tank should be 25°C. if the temperature flowing from pipe A & B is 10° & 30°C respectively.
Q3. In an alloy 75% copper & remaining are tin. In another alloy, 87% copper, 10% tin and remaining are impurities. Both alloy are mixed, so that in the mixture percentage of tin becomes 15%, find the percentage of copper in the new mixture.
Q5. A person sold an article at 30% profit. If SP is reduced by Rs. 280 but CP is changed in ratio 4 : 3, then loss will be 20%. Find the initial cost price of an article.
Q6. The average weight of 11 members of a family is 75 kg. If one new member join this family. Average will change. The weight of 12th member is 22kg more than average weight of total 12 members of this family. Find the weight of 12th member.
Q7. The electricity bill of November month is some fixed amount and Rs. 1230. If due to some reason electricity is not used for 6 days in December month, then bill of this month is Rs. 1080. Find the fixed amount which is included in electricity bill of each month.
given figure, AD = CB, find (a – b)/g
Q9. An article having costing Rs. 7500 is sold at Rs. 4800 at two successive discount. If discount given by them is equal to the simple interest on a certain principal in 3 years. If rate of simple interest is same as the rate of discount. Find the principal.
Q10. If sina + sin2a = 1, then, the value of
cos12 a + 3cos10a + 3cos8a + cos6a – 1 is equal to
Q11. A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1 : 1.
Q12. A person sells a table at a profit of 25% and a chair at a loss of 12.5% and on the whole he gains Rs. 75. On the other hand, if he sells the table at a loss of 12.5% and the chair at a profit of 25% he neither gains nor losses. Find the total cost price of table and chair.
Q13. In the given figure, ∠ABC = 130°, find ∠APC.
Q14. In a party only couples are invited. 40% male are interested in alcoholic drink. If overall 1/3rd people are interested in alcoholic drink. Then find the ratio of number of alcoholic and non-alcoholic female.
Q15. In SSC examination, 8% candidates get selected from north region, but overall the country average 10% candidates get selected. If number of candidates appeared from northern region is 25% less than the southern region. If in the southern region 4600 candidates selected. Find the total number of candidates who appeared in SSC exam.
Q16. A person start his journey of 252 km, at 8:20pm, some part of his journey by train and remaining part by bus. The speed of train is 25km/hr, while speed of bus is 34 km/hr. If he reached at his destination at 5:20am. Then how much distance he cover by train.
Q17. A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square is.
Q18. A train travelling at 42 km/h passes a cyclist going in the same direction in 9 sec. If the cyclist had been going in opposite direction, the train would have passed him in 5 sec. Find the length of train.
Q19. Three men A, B & C walk around a circle, 900m in circumference, at the rate of 180, 135, 120 m/min respectively. If they all start together and walk in the same direction, when will they first be together again.
Q20. Find the number of zeroes in. 11
× 21×2 × 31×2×3 × 41×2×3×4 ………….. 91×2×3……..9
Q21. A cylindrical can whose base is horizontal and is of internal radius 3.5cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put is
Q22. If two chords AB and CD of a circle having centre O, cut at P and ∠AOB = 100° and ∠BOD = 70°. Then find the ∠APC.
23. Find the remainder when (59)28 is divided by 7.
+ b2 + c2
+ b2 + c2 – ab – bc – ac
bc + ac