**Maths Quiz of the Day – II For SSC MTS : 27-08-2019**

**Q.1 The side of a square shaped garden is 40 m. Find the maximum distance between any two corners of garden?**

(1) 28.28 m

(2) 52.52 m

(3) CND

(4) 56.56 m

(5) None of these

**Q.2 A slab of ice 16 inches in length, 22 inches in breadth and 8 inches thick was melted and resolidified in the form of**

**a rod of 12 inches diameter. The ( in inches ) length of rod is?**

(1) 22 inches

(2) 13.66 inches

(3) 23.48 inches

(4) 24.88 inches

(5) None of these

**Q.3 Sum of area of a square and a rectangle is 2494 square cm and perimeter of rectangle is 140 c.m. If ratio of length to breadth of rectangle is 9:5 then find perimeter of square ?**

(1) 148 c.m

(2) 156 c.m

(3) 128 c.m

(4) 140 c.m

(5) None of these

**Q.4 Find the Height if the perimeter of an equilateral triangle is m.**

(1) 68m

(2) 28m

(3) 29m

(4) 36m

(5) 26

**Q.5 The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cm and breadth 6 cm. What is the circumference of a semicircle whose diameter is of a semicircle whose diameter is equal to the side of the square?**

(1) 37.75 cm.

(2) 32.5 cm.

(3) 42.25 cm.

(4) None of these

(5) 38 cm.

**Q.6 Rohit’s present age is three times his daughter’s and nine-thirteenth of his mother’s present age. The sum of the present ages of all three of them is 100 years. What is the difference between the present ages of Rohit’s daughter and Rohit’s mother?**

(1) 48 years

(2) 50 years

(3) 36 years

(4) 40 years

(5) None of these

**Q.7 The ratio of the present age of Vivek to that of Mukesh is 5 : 13. Mukesh is 14 years younger than Mona. Mona’s****age after 8 years will be 74 years. What is the present age of Vivek’s father, who is 22 years older than Vivek?**

(1) 44 years

(2) 40 years

(3) 48 years

(4) 43 years

(5) None of these

**Q.8 The difference between the ages of two men is 8 years. 12 years ago, the elder one was twice as old as the younger one. Then find the sum of their present ages.**

(1) 44 years

(2) 52 years

(3) 42 years

(4) 48 years

(5) None of these

**Q.9 Guddu is as much younger than Maqbool as he is older than Varnit. If the sum of the ages of Maqbool and Varnit**

**82 years, then what is the age of Guddu?**

(1) 39 years

(2) 41 years

(3) 43 years

(4) can not be determined

(5) None of these

**Q.10 The age of a man 10 years ago was thrice the present age of his son. 10 years hence, the man’s age will be twice**

**the age of his son. What is the sum of their present ages?**

(1) 80 years

(2) 105 years

(3) None of these

(4) 100 years

(5) 110 years

__Solutions:__

**Ans.1(4)** Diagonal = D = 40×√2 = 56.56 m

**Ans.2(4)** According to the question

16 × 22 × 8 = 22/7 × 12/2 × 12/2 × L

L = 24.88 icmh

**Ans.3(1)** Perimeter of recangle = 140 cm.

2(9x+ 5x) = 140

x = 5

l = 45, b = 25

Area of rectangle = 45×25 = 112

Area of square = 2494 – 1125 = 1396

a2 = 1369

a = 37

perimeter of square = 37× 4 = 148 cm.

**Ans.4(4)**

**Ans.5(4)**

**Ans.6(4)** Let Rohit’s present age = x years

His daughter’s present age = x/3 year

His mother’s present age = 13x/9 years

According to questions-

x+ x/3 +13x/9 = 100

25x/9 = 36 years

So, required difference =

**Ans.7(5)** Present age of Vivek = 5/13 × [ ( 74 – 8 ) – 14 ]

= 5/13 × 52 = 20 years

Present age of Vivek’s father = 20 + 22 = 42 year

**Ans.8(4)** Let the age of older man = (x+8) years

Age of younger man = x years

According to question-

(x+8) -12 = 2(x-12)

x = 24 –

x = 20 years

Sum of their ages = (x)+(x+8) = 20+28 =

48 years

**Ans.9(2)** Let the age of Guddu, Maqbool and Varnit are a,b and C years respectively.

According to question-

b – a = a-c

2a = b+c

a = b+c/2

a = 82/2 = 41 years

So, age of Guddu = 41 years

**Ans.10(4)** Let the son’s age 10 years ago = x years

Man’s age 10 years ago = 3x years

ATQ –

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

3x +20 = 2x + 40

x = 20 year

Sum of their present ages = (x+10)+(3x+10)

= 30+70 = 100 year