**S1. Ans.(c)**

**Sol.**Side of triangle = 3x, 5x/4,13x/4

=12x/4,5x/4,13x/14

Here, (12, 5, 13) is a triplet of a right angle triangle.

Hence, triangle will be right angle triangle.

**Q2. The average weight of first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of 12th person is ?**

(a) 128 kg

(b) 97.45 kg

(c) 128.75 kg

(d) 131 kg

**S2. Ans.(d)**

**Sol.**Let the average weight of 12 persons = x kg

So, weight of 12th person = x + 33 kg

According to question,

x=(95 × 11 + x + 33)/12

12x – x = 95 × 11 + 33

x = 98 kg

Weight of 12th person = 98 + 33 = 131 kg

**Q3. The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. The average of the remaining two numbers is**

(a) 4.5

(b) 4.7

(c) 4.6

(d) 4.8

**S3. Ans.(c)**

**Sol.**Let the average of two remaining number = x

According to question,

6×3.95=2×3.4+2×3.85+2×x

3×3.95=7.25+x

x = 4.6

**Q5. Pooja wants to sell a watch at a profit of 20%. She bought it at 10% less and sold it at Rs. 30 less, but still she gained 20%. The cost price of watch is**

(a) Rs. 220

(b) Rs. 225

(c) Rs. 240

(d) Rs. 250

**Q6. A man buys a toy for Rs. 25 and sells it for Rs. 30. His gain percent is**

(a) 5%

(b) 2.5%

(c) 20%

(d) 10%

**S6. Ans.(c)**

**Sol.**

Gain% =(30 – 25)/25=5/25=20%

**Q7. The area of a circle is 324 𝜋 sq. cm. The length of its longest chord (in cm.) is**

(a) 28

(b) 32

(c) 36

(d) 38

**S7. Ans.(c)**

**Sol.**Longest chord = diameter

πr^2=324π

r = 18 cm

Diameter = 2 × 18 = 36 cm

**Q8. A supply of juice lasts for 35 days. If its use is increased by 40% the number of days would the same amount of juice lasts, is**

(a) 30 days

(b) 27 days

(c) 25 days

(d) 24 days

**S8. Ans.(c)**

**Sol.**When 40% use increased

The number of day supply last = initial days

(of supply last )/(increse in use)

=35/1.4

= 25 days

**Q9. A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in**

**Q15. If a person marked a product 25% above the cost price but allows 10% discount, then the percentage of profit is **

(a) 15%

(b) 12.5%

(c) 35%

(d) 17.5%

**S15. Ans.(b)**

**Sol.** Let the cost price=100 rupees

Mark price=125 rupees

Selling price=125×.9

=112.5 rupees

Profit=12.5%