Q1.A book-seller sells a book at a gain of 6%. If he had bought it at 4% less price and sold it for Rs.23 more, he would have got 20% profit. Find the cost price of the book?

(a) Rs.250

(b) Rs.225

(c) Rs.260

(d) Rs.235


Q2.Prabha started a business with as investment Rs.32000. After 5 months Amit joined her with Rs.22000. At the end of year, they had a profit of Rs.16409. What is the share of prabha in the total profit?

(a) Rs.5284

(b) Rs.11712

(c) Rs.10182

(d) Rs.4697


Q3.A wheel makes 4000 revolutions in converting 88 km. What is the radius of the wheel?

(a) 3.2 metre

(b) 3.5 metre

(c) 4 metre

(d) 4.5 metre


Q4.If the weight of 1 cubic centimeter raw iron is 21 gm, what will be the weight of the pipe made of iron whose length is 1 metre, internal diameter 3cm and thickness is 1 cm?

(a) 18.5 kg

(b) 21 kg

(c) 24.2 kg

(d) 26.4 kg


Q5.A wall clock was made correct at 8 am on a certain day. This clock runs 10 minutes fast in 24 hours. Next day when the clock shows 1 pm., what will be its correct time?

(a) 12 : 48 pm

(b) 11 : 48 am

(c) 12 : 58 pm

(d) 11 : 58 pm


Q6.The base of a right solid prism is a triangle whose sides are 6, 8 and 10 cm. The height of the prism is 10cm. The total surface area of the prism is ________.

(a) 284 sq.cm

(b) 288 sq.cm

(c) 384 sq.cm

(d) 240 sq.cm


Q7.If [ x / (×2-3x+1)] = ¼ then x3 + (1/x3) = ?

(a) 322

(b) 321

(c) 327

(d) 222


Q8.If ax + by = 4 ,  bx – ay = 5 and x2 + y2 =5 then a2 + b2 =?

(a) 8

(b) 8.1

(c) 8.2

(d) 7.2


Q9.If [x4+1/x4] = 223, then x2 + 1/x2 =?

(a) 15

(b) 13

(c) 225

(d) 17


Q10. { 2(a-b)2 / (b-c)(c-a) } + { 2(b-c)2 / (a-b)(c-a) } ­+ { 2(a-c)2 / (a-b)(b-c)} = ?

(a) 5

(b) 3

(c) 6

(d) 8


Q11.A shopkeeper wants to offer 5% commission on the marked price and earn 10%profit.If the cost price of the article be Rs.95, what is its marked price?

(a) Rs.100

(b) Rs.110

(c) Rs.120

(d) Rs.130


Q12.The marked price of a pen Rs.12. A discount of 15% is allowed on it. After it a second discount is allowed and hence the cost of pen is Rs.8.16.The rate of second discount is:

(a) 15%

(b) 18%

(c) 20%

(d) 25%


Q13.In two alloys the ratio of zinc and copper are respectively 2:1 and 4:1.In what ratio two alloys should be mixed so that the ratio of zinc and copper in new alloy becomes 3:1?

(a) 3:5

(b) 5:7

(c) 7:5

(d) None of these


Q14. In a school, 10% of the number of boys is equal to ¼ of that of girls and 10% of the number of girls is 1/25th of that of boys. What is the ratio of the numbers and girls?

(a) 3:2

(b) 5:2

(c) 2:1

(d) 4:3


Q15. 4 men and 6 women together can do a work in 8 days while 3 men and 7 women together can do the same work in 10 days. In how many days will 10 women do the same work?

(a) 35 days

(b) 40 days

(c) 45 days

(d) 50 days


Q16.A pipe can fill a tank in 15 minutes, while a second pipe can fill it in 10 minutes. A third pipe can empty a full tank in 5 minutes. In the beginning first two pipes are opened for 4 minutes. Then the third pipe is also opened. After what time of opening the third pipe will the tank be emptied?

(a) 35 minutes

(b) 15 minutes

(c) 20 minutes

(d) Cannot be emptied


Q17.Running at 2/3 of its usual speed a train reaches its destination 3 hours late. What time will it take to reach the destination at its usual speed?

(a) 6 hours

(b) 8 hours

(c) 10 hours

(d) 12 hours


Q18.Two goods trains each of 500 metre length are running on parallel tracks in opposite directions at 45 kmph and 30 kmph respectively. In what time will the slower train cross the driver of the faster train?

(a) 12 seconds

(b) 24 seconds

(c) 48 seconds

(d) 60 seconds


Q19.The difference between the compound interest and the simple interest on a certain sum at the rate of 10% per annum for 3 years is Rs.620. What is the principal?

(a) Rs.40000

(b) Rs.12000

(c) Rs.10000

(d) Rs.20000


Q20.If the height of a right circular cylinder be increased by 15% and radius of its base be decreased by 10%, what percentage change will be in its curved surface area?

(a) 3.5% decrease

(b) 3.5% increase

(c) 5% increase

(d) 5% decrease