### Arithematic Quiz

1. Two trains start from stations A and B and travel towards each other at speed of 50 km/hr and 60 km/hr respectively. At the time of their meeting, the second train has traveled 120 km more than the first. The distance between A and B is:
(a) 990 km
(b) 1200 km
(c) 1320 km
(d) 1440 km

Q2. Rs. 76 is divided among A, B and C such that A gets Rs. 7 more than B and B get Rs. 6 more than C. Find the ratio of their share?
(a) 19 : 24 : 33
(b) 32 : 25 : 19
(c) 32 : 24 : 20
(d) 19 : 25 : 33

Q3. The sum of internal angle of a regular polygon is 1440°. What is the number of its sides?
(a) 8
(b) 12
(c) 10
(d) 6

Q4. Two circles of same radius 4 cm cut each other such that each circle passes through the centre of another circle. What is the length of the common chord?
(a) 2√3 cm
(b) 4√3  cm
(c) 2√2 cm
(d) 8 cm

Q6. ABCD is a rectangle in which the ratio of AB and BC is 3 : 2. If P is the mid-point of AB. What will be the value of sin angleCPB?
(a) 3/5
(b) 2/5
(c) 3/4
(d) 4/5

Q9. Gita buys a plot of land for Rs. 96,000. She sells 2/5 of land at a loss of 6%. She wants to made a profit of 10% on the whole transaction by selling the remaining land. The gain percent on the remaining land is
(a) 20
(b) 20(2/3)
(c) 14
(d) 7

Q10. The average monthly income of P and Q is Rs. 5,050. The average monthly income of Q and R is Rs. 6,250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
(a) Rs. 3,500
(b) Rs. 4,000
(c) Rs. 4,050
(d) Rs. 5,000

3. Ans.(c)
Sol. Sum of internal angle = 1440
180(n – 2) = 1440
n – 2 = 1440/180

n = 8 + 2 = 10

Ans.(b)
Sol. Sum of P and Q = 5050 × 2 = 10100
Sum of Q + R = 6250 × 2 = 12500
Sum of P + R = 5200 × 2 = 10400
(P + Q + R) = 33000/2=16500

Monthly income of P = 16500 – 12500 = 4000