1.The average age of a class of 35 students is 15 years. If the age of a teacher is also included, the average age increases by 1. What is the teacher’s age?
(a) 36 years
(b) 41 year
(c) 51 year
(d) 56 year
2.If the difference between the S.I. and C.I. on a certain amount at 10% per annum for 2 years is Rs. 20, then the sum is :
(a) Rs. 4000
(b) Rs 2000
(c) Rs. 1500
(d) Rs. 3000
3.Average weight of A, B, C is 84 kg., when D is included average weight becomes 80 kg. If E replaces A, then the average weight of B, C, D and E becomes 79 kgs. If E’s weight is 3 kg more than that of D. What is A’s weight?
(a) 70 kg
(b) 72 kg
(c) 75 kg
(d) 80 kg
4.Profit on selling the watch at Rs. 850 is equal to loss on selling it at Rs. 650. What is the cost-price of the watch?
(a) Rs. 720
(b) Rs. 750
(c) Rs. 800
(d) Rs. 735
5.A’s salary is 35% of that of B’s salary. B’s salary is 40% of that of C’s salary. If their total salary is Rs. 19.250, the difference between A’s and B’s salaries is :
(a) Rs. 3,250
(b) Rs. 3,500
(c) Rs. 325
(d) Rs. 7, 500
6.Kundan purchased 16 kg. wheat at Rs. 9.40/kg. and 25 kg. wheat at Rs. 8.50/kg. He sold the mixture of both varities at Rs. 8.95/kg. What is the gain or loss?
(a) profit of Rs. 4.05
(b) No profit no loss
(c) Profit of Rs. 5.00
(d) Loss of Rs. 7.50
7.Sonu spent 15% of his income on clothes, 30% on food, and 10% on transport. If he has left with Rs. 900 what is his income?
(a) Rs. 1, 500
(b) Rs. 2,000
(c) Rs. 1,635
(d) Rs. 1, 000
8.Population of a village decreases annually by 20%. If its population 2 years ago was 10, 000, what will be its present population?
(a) 6,000
(b) 1000/144
(c) 6, 400
(d) 7, 600
9.Two 235 mts long and 190 mts long trains are going in opposite directions with speeds of 40 kmph and 50 kmph respectively. After meeting, what time will they take to cross each other?
(a) 1.8 sec.
(b) 4.5 sec.
(c) 17 sec.
(d) 42.5 sec.
10.15 men work 8 hours daily to complete a work in 21 days. In how many days will 14 men complete the work by working 6 hours daily?
(a) 21
(b) 27
(c) 28
(d) 30
ANSWERS AND SOLUTION
1.(c) Total age of 35 students
= 35 * 15 = 525 years
Total age of 36 students including teacher = 36 * 16 = 576 years
so Teacher’s age = 576 – 525 = 51 years
2.(b) Let principal be Rs. x
so According to question,
Simple Interest
= (x × 10 × 2)/100 = Rs.x/5
so Compound Interest = x[(1+10/100)^2- 1]
= x[(121-100)/100]= Rs. 21x/100
Now,
21x/100-x/5=20
so x= 20 * 100
= Rs. 2000
3.(c) Total weight of A + B +C
= 84 × 3 = 252 kg.
Total weight of A + B + C + D
= 80 × 4 = 320 kg
so Weight of D
=320-252=68kg
Weight of E
= 68 + 3 = 71 kg
Let weight of A be x kg.
so According to question.
(320 – x + 71)/4 = 79
so x = 75 kg.
4.(d) Required C.P.
= (820 + 650)/ 2 = 1470/2 = Rs. 735
5.(a) Let the C’s salary be Rs. 100
so Salary of B = 40% of 100
= Rs. 40 and salary of A
= 35% of 40 = Rs. 14
so Total salary of A, B and C =
100 + 40 + 14 = Rs. 154 and difference of salary of A and B = 40 – 14 = 26
Now,
When total sum is 154 then difference is 26
so If total sum is Rs. 19,250 the difference
= (26 * 19,250)/154 = Rs. 3,250
6.(a) Total cost price
= 16 * 9.40 + 25 * 8.50
= 150. 40 + 212. 50
= Rs. 362.90
Selling price of 41 kg. wheat at the rate of Rs. 8.95 kg.
= 41 * 8.95 = Rs. 366. 95
so Total profit = 366.95 – 362.90 = Rs. 4.05
7.(b) Remaining amount
= 100 – (30 + 15 + 10) = 45%
so 45% = Rs. 900
so 100% = (900 * 100)/45 = Rs. 2000
8.(c) Present population
= 10000 (1-20/100)^2
= 10000 ×(4/5)^2
= 10000 ×16/25=6400
9.(c) Relative speed of trains
= 40 + 50 = 90 km/hr
= 90 ×5/18 = 25m/sec.
And total distance
= 235 + 190 = 425m
Time taken to cross
= 425/25 = 17 seconds
10.(d) Required answer
= (21 ×15 ×8)/(14×6) = 30 days
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