**Maths Quiz of the Day – II For SSC MTS : 26-08-2019**

**Direction Q.(1-5) Study the information carefully to answer the follwoing questions.**

A kindengarten consists of 7500 students. The Ratio of boys to girls is 3:2 respectively. All the students are involved in five different games viz. Hockey, Cricket, Tennis, Football and volleyball. 28 percent of girls are in Hockey. 16 percent of the boys are in tennis. One fifth of the boys are in volleyball. The ratio of girls to boys in Tennis is 2:3 respectively. 25 percent of the total number of the students are in cricket. Girls in volleyball are 60 percent of the boys are in the same game. 22% of the girls are in football. The remaining girls are in cricket. 18 percent of the boys are in Hockey and remaining in football.

**Q.1 Number of boys in Hockey from what percent of the number of girls in the same game?(rounded off the two digitsafter decimal)**

(1) 96.43

(2) 113.70

(3) 90.36

(4) 117.43

(5) 128.91

**Q.2 What is the number of girls in cricket and Hockey?**

(1) 1380

(2) 1220

(3) 1320

(4) 1200

(5) None of these

**Q.3 Number of boys in Cricket forms what percent of total Number of students in the school?**

(1) 16.8%

(2) 9.75%

(3) 12.25%

(4) 16%

(5) 18.6%

**Q.4 What is the total no. of boys in tennis and volleyball together?**

(1) 1380

(2) 1620

(3) 1400

(4) 1520

(5) None of these

**Q.5 What is the number of boys in football?**

(1) 800

(2) 570

(3) 640

(4) 675

(5) 650

**Q.6 Suraj said to Ritik, “I will be two times as old as you are now in 4 years.” Find the present age of Ritik, If the sum of their present ages is 20.**

(1) 7 year

(2) 12 year

(3) 8 year

(4) 6 year

(5) None of these

**Q.7 Vini’s present age is 1/8 th of her father’s age. Present Age of Vini’s father is twice of Manoj’s age after 8 years. If Manoj’s 12th birth day was celebrated 6 years ago then what is Vini’s present age?**

(1) 7 1/8 year

(2) 7 year 4 months

(3) 6 year 6 month

(4) 8 year 8 months

(5) None of these

**Q.8 Deepak is aged three times more that his son Rahul. After 10 years, he would be one and half times of Rahul’s age. After further 10 years, how many times, would he be of Rahul’s age ?**

(1) 1.25 times

(2) 1.2 times

(3) 1 1/11 times

(4) None of these

(5) 1 3/11 times

**Q.9 The average age of father and son at present is 23 years. Also, the difference between their ages is 20 years. Also, the difference between their ages is 20 years then after 2 years what will be the respective ratio between the ages of son and father?**

(1) 7:3

(2) 2:5

(3) 4:7

(4) 3:5

(5) None of these

**Q.10 Sixteen years ago the ratio between the ages of Rani and deepa was 3:10 and at present it is 1:2 . What is the age of Deepa at present?**

(1) Can not be determined

(2) 54 years

(3) 56 years

(4) 28 years

(5) None of these

__Solutions:__

**Ans(1-5)**

**Ans.1(1)** Required % = 810/840 × 100 = 96.43%

**Ans.2(3)** Required No of girls in cricket and Hockey

= 480 + 840 = 1320

**Ans.3(5)** Required % =1395/7500×100 = 18.6%

**Ans.4(2)** Total No. of Boys in Tennis and volleyball

= 720+900 = 1620

**Ans.5(4)** 675

**Ans.6**(3) Let the present age of Suraj = x year

so, Present age of Ritik = (20-x)year

According to question

x+4 = 2(20-x)

x+4 = 40-2x

x = 36/3 = 12 year

Present age of Ritik = 20-12 = 8 year

**Ans.7(3)** Manoj’s present age = 12+6 =18 years

Present age of Vini’s father = 2(18+8) = 52 years

Vini’s present age = 52×1/8 = 6 4/8years = 6years 6 months

**Ans.8(5)** Let Rahul’s present age = x years

So, age of Deepak = (x+3x) = 4x year

(4x+10) = 3/2 (x+10)

x = 2

**Ans.9(5)** F+S/2 = 23

F+S = 46 —- (I)

F – S = 20 —- (II)

then, F = 33 S = 13

Required Ratio =13+2/33+2 = 15/35 = 3 /7

**Ans.10(3)** Let the present age of Rani = x

Present age of Deepa = 2x

According to the question

= X-16 / 2X-16 = 3/10

x = 28

So, present age of Rupa = 28 × 2 = 56 years