# Maths Quiz for 2016-17 Exams

1. Sanjay has Rs 36 more than Vinay. Vinay has 25% of the total amount that Sunil has. Sunil has a total of Rs 1,540. What amount does Sanjay have?
(a) Rs 420
(b) Rs 385
(c) Rs 422
(d) None of these
Vinay’s amount = Rs(1540*25/100) = Rs 385
Sanjay’s amount = Rs.(385 + 36) => Rs. 421

2. The length of a rectangle is 6 cm more than its breadth. If the area of the rectangle is 112 sq cm. What is the perimeter of the rectangle?
(a) 22 cm
(b) 44 cm
(c) 34 cm
(d) 28 cm
Let the breadth of the rectangle be x cm.
Now, according to the question,
Length of the rectangle = (x + 6) cm
(x + 6)x= 112      or, x^2 + 6x – 112 = 0
(x + 14) (x – 8) = 0     or, x = –14 or 8
Perimeter of the rectangle = 2(8 + 14)cm = 44 cm

3. Half of Sonu’s monthly income is equal to four-seventh of Rajiv’s monthly income. Rajni’s monthly income is `32000 which is double the monthly income of Sonu. What is Rajiv’s monthly income?
(a) Rs. 16000
(b) Rs. 4571
(c) Rs. 14000
(d) Cannot be determined

4. The length of a rectangle is three-fifths of the side of a square. The radius of a circle is equal to side of the square. The circumference of the circle is 132 cm. What is the area of the rectangle if the breadth of the rectangle is 8 cm?
(a) 112.4 sq cm
(b) 104.2 sq cm
(c) 100.8 sq cm
(d) Cannot be determined

5. Five-ninths of a number is equal to twenty five per cent of the second number. The second number is equal to one-fourth of the third number. The value of the third number is 2960. What is 30 per cent of the first number?
(a) 88.8
(b) 99.9
(c) 66.6
(d) Cannot be determined

6. The ratio of the present age of Manoj to that of Wasim is 3:11. Wasim is 12 years younger than Rehana. Rehana’s age after 7 years will be 85 years. What is the present age of Manoj’s father, who is 25 years older than Manoj?
(a) 43 years
(b) 67years
(c) 45 years
(d) 69 years
Present age of Rehana = 85 – 7 = 78 years
Present age of Wasim = 78 – 12 = 66 years
Present age of Manoj =  3/11 × 66 = 18 years
Present age of Manoj’s father = 18 + 25 = 43 years

7. Dinesh’s monthly income is four times Suresh’s monthly income. Suresh’s monthly income is twenty per cent more than Jyoti’s monthly income. Jyoti’s monthly income is `22,000. What is Dinesh’s monthly income?
(a) Rs.1,06,500
(b) Rs.1,05,600
(c) Rs.1,04,500
(d) Rs.1,05,400
Suresh’s monthly income = 1.2 × 22000 = Rs.26400
Dinesh’s monthly income = 26400 × 4 = Rs.105600

8. Yana and Rana leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Rana takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Rana?
(a) 72 kph
(b) 44 kph
(c) 32 kph
(d) 60 kph

9.The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
(a) 19 : 22
(b) 20 : 21
(c) 21 : 22
(d) 17 : 18
Originally, let the number of boys and girls in the college be 7x and 8x respectively.
Their increased number is (120% of 7x) and (110% of 8x).
=> [120/100 x 7x] and [110/100 x 8x]
=> 42x/5 and 44x/5
=> The required ratio = 42x/5 : 44x/ 5] = 21 : 22

10.Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit’s  present salary?
(a) Rs. 20,000
(b) Rs, 30,000
(c) Rs, 38,000
(d) Rs.45, 000
Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Then, (2x + 4000)/ (3x + 4000)= 40/57
=> 57(2x + 4000) = 40(3x + 4000)
=>6x = 68,000
=> 3x = 34,000
Sumit’s present salary = (3x + 4000) = Rs. (34000+ 4000) = Rs. 38,000