**1.What is the least number of square tiles required to pave the floor of a room 9 m 99 cm long and 4 m 7 cm broad?**

(a) 247

(b) 277

**(c) 297**

(d) 307

**Side of tiles = HCF of 999 cm and 407 cm**

**= 37**

**so Required no. of tiles = (999 * 407)/ (37 * 37) = 297**

**2.A person bought 5 tickets from a station P to a station Q and 10 tickets from the station P to a station R. He paid Rs. 350/-. If the sum of a ticket from P to Q and a ticket from P to R is Rs. 42/- then what is the fare from P to Q?**

(a) Rs. 12/-

**(b) Rs. 14/-**

(c) Rs. 16/-

(d) Rs. 18/-

**Let the fare from p to Q = Rs. X**

**And the fare form P to R = Rs. Y**

**According to question,**

**5x + 10y = 350 …….(i)**

**x + y = 42 ……………..(ii)**

**Solving (i) and (ii), we get**

**x = Rs. 14/- y = Rs. 28/-**

**3.A trader marked a watch 40% above the cost price and then gave a discount of 10%. He made a net profit of Rs. 468/- after paying a tax of 10% on the gross profit. What is the cost price of the watch?**

(a) Rs. 1,200/-

(b) Rs. 1,800/-

**(c) Rs. 2, 000/**–

(d) Rs. 2,340/-

**let cost price =x**

**marked price = x * 140/100 = 14x/10**

**Selling price = 14x/10 * 90/100**

**= 126x/100**

**profit= sp-cp = 126x/100 – x= 26x/100**

**Net profit = 26x/100 * 90/100**

**so 468 = (26*90)/(100*100)x**

**x = 2000**

**4.The sum of two number is 80. If the larger number exceeds four times the smaller by 5, what is the smaller number?**

(a) 5

**(b) 15**

(c) 20

(d) 25

**Let smaller number = x**

**so Larger number = 80 – x**

**According to question,**

**80 – x = 4x + 5**

**5x = 75**

**=> X = 15**

**5.If salary of X is 20% more than salary of y, then by how much percentage of salary of y less than X?**

(a) 25

(b) 20

**(c) 50/3**

(d) 65/4

**Let salary of x = Rs.x**

**Salary of y = x*100/120**

**= Rs. 10x/12**

**Salary of X – salary of Y = x – 10x/12 = 2x/12 = x/6**

**so Required salary = x/6 * 100 = 50/3%**

**6.Two vessels are full of milk with water ratio 1 : 3 and 3 : 5 respectively. If both are mixed in the ratio 3 : 2, what is the ratio of milk and water in the new mixture?**

(a) 4 : 15

(b) 3 : 7

(c) 6 : 7

**(d) 3 : 10**

**By law of mixture**

**1/4 3/8**

**x**

**3 2**

**so (3/8 -x)/(x-1/4) = 3/2**

**3/4-2x=3x-3/4**

**5x=6/4 = 3/2 =>x = 3/10**

**7.The ratio between the ages of A and B is 2 : 5. After 8 year, their ages will be in the ratio 1 : 2. What is the difference between their present ages?**

(a) 20 year

(b) 22 year

**(c) 24 year**

(d) 25 year

**Let A’s age = 2x**

**so B’s age = 5x**

**According to question,**

**(2x + 8)/(5x + 8) = 1/2**

**4x + 16 = 5x + 8**

**X = 8**

**so Required differecne = (5x – 2x)**

**= 3x**

**= 3 * 8 = 24 years**

**8.A person borrowed Rs. 7, 500/- at 16% compound interest. How much does he have to pay at the end of 2 years to clear the loan?**

(a) Rs. 9, 900/-

**(b) Rs. 10, 092/-**

(c) Rs. 10, 902/-

(d) Rs. 10, 920/-

**A = P (1 + r/100)^n**

**A = 7500 (1 + 16/100)^2**

**= 7500 * 29/25 * 29/25**

**= Rs. 10,092**

**9.A can do a piece of work in 24 days. If B is 60% more efficient than A. then how many days does B require to do the same work?**

(a) 12

**(b) 15**

(c) 16

(d) 18

**A’s one day work = 1/24**

**so B’s one day work = 1/24 * 160/100 = 1/15**

**so B’s can do a piece of work in 15 days.**

**10. The dimensions of a rectangular box are in the ratio 2 : 3 : 4 and the difference between the cost of covering it with a sheet of some metal at Rs. 8/- and Rs. 10/- per sq m is Rs. 234/-. What are the length, breadth and height of the box respectively?**

(a) 2 m, 3 m, 4 m

**(b) 3 m, 4.5 m, 6 m**

(c) 4 m, 6 m, 8 m

(d) 5 m, 7.5 m, 10 m

**Let the dimensions by 2x, 3x and 4x**

**According to question**

**2(2x * 3x + 3x * 4x + 4x * 2x)(10 – 8) = 234**

**=> 4 * 26x^2 = 234**

**=> X^2 = 234/104 = 2.35**

**X = 1.5**

**Dimensions are 3m, 4.5 m and 6 m.**