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# Maths Quiz for KVS and NVS Exams 2016

Directions (1-5): The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 Lakh mobile phones and in 2008 the production was 44 Lakhs. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by company over two years

Q1. Total number of mobiles of models A, B and E manufactured in 2007 was

(a) 24,50,000
(b) 22,75,000
(c) 21,00,000
(d) 19,25,000
Sol.
=35/100 (30+15+15)=(35×60)/100 = 21 Lakhs

Q2. For which models was the percentage variation in production from 2007 to 2008 the maximum?
(a) B and C
(b) C and D
(c) D and E
(d) A and B
Sol.
Percentage variation
Model A =(40-30)/30×100=33 1/3
Model B =(20-15)/15×100=33 1/3
Model C =(15-20)/20×100=-25

Q3. What was the difference in the number of B type mobiles produced in 2007 and 2008?
(a) 3,55,000
(b) 2,70,000
(c) 2,25,000
(d) 1,75,000
Sol.
Required difference
=(44×20)/100-(35×15)/100
=(880-525)/100=355/100 lakhs = 355000

Q4. If the percentage production of A type mobiles in 2008 was same as that in 2007, then the number of A type mobiles produced in 2008 would have been
(a) 14,00,000
(b) 13,20,000
(c) 11,70,000
(d) 10,50,000
Sol.
Required production
=(44×30)/100 Lakhs
= 1320000

Q5. If 85% of the D type mobiles produced in each year were sold by the company, how many D type mobiles remained unsold?
(a) 76,500
(b) 93,500
(c) 1,18,500
(d) 1,22,500
Sol.
=(35×10/100×15/100+44×10/100×15/100) Lakhs
=(150/10000×79) = 1.1850 Lakhs
= 118500

Q6. The ratio of the adjacent angles of a parallelogram is 7 : 8. Also, the ratio of the angles of quadrilateral is 5:6:7:12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
(a) 168°
(b) 228°
(c) 156°
(d) 224°
Sol.
Sum of the adjacent angles of a parallelogram is 180°
Smaller angle of the parallelogram =7/15×180=84°
Second largest angle of the quadrilateral =7/30×360=84°
∴ Required sum = 84 + 84 = 168°

Q7. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 years is Rs. 15. The sum is:
(a) Rs. 6500
(b) Rs. 5500
(c) Rs. 6000
(d) Rs. 7000

Q8. Two types of steel are available. Type A contains 5% of nickel and type B contain 40% of nickel. How much of each type be mixed to obtain 140 tonnes of steel containing 30% of nickel?
(a) 40, 100 tonnes
(b) 50, 125 tonnes
(c) 30, 75 tonnes
(d) 60, 180 tonnes

Q9. There are two containers of equal capacity. The ratio of milk to water in the first container is 3:1, in the second container 5:2. If they are mixed up, the ratio of milk to water in the mixture will be:
(a) 28:41
(b) 41:28
(c) 15:41
(d) 41:15
Sol.
Let the capacity of each container be x litres.
In first container, Milk =3x/4 litres Water =x/4 litres
In second container Milk =5x/7 litres Water =2x/7 litres
On mixing both, we have, Quantity of milk =3x/4+5x/7
=(21x + 20x)/28
=41x/7 litres
Quantity of water =x/4+2x/7=(7x + 8x)/28 litres
=15x/18 litres
∴ Required ratio =41x/28:15x/28=41:15

Q10. There was one mess for 30 boarders in a certain hostel. On the number of boarders being increased by 10, the expenses of the mess were increased by Rs. 40 per month while the average expenditure per head diminished by Rs. 2. Find out actual monthly expenses.
(a) Rs. 390
(b) Rs. 410
(c) Rs. 360
(d) Rs. 480
Sol.
Let Rs. x be the average expenditure for 30 boarders.
∴ 30x + 40 = (x – 2) × 40
Or, x = 12
Hence, actual expenditure = Rs. 12 × 30 = Rs. 360