31. Vikram borrowed rupees 6450 at 5% simple interest repayable in 4 equal installments. what will be the annual installment payable by him?
Answer:
Explanation:Let the annual instalment be Rs. P.
Amount of ₹ 100 after 4 yr = 100 + (100 x 5 x 4)/100 = ₹ 120
∴ Present Value (PV) of ₹ 120 due after 4 yr = ₹ 100
Present Value (PV) of ₹ due after 4 yr = 100P/120 = 5P/6
Similary, PV of ₹ P due after 3 yr = 20P/23
PV of ₹ P due after 2 yr = 10P/11
PV of ₹ P due after 1 yr = 20P/21
∴ 5P/6 + 20P/23 + 10P/11 + 20P/11 = 6450
⇒ P = ₹ 1810
Workspace
Huawei
32. 3 7 12 18 25
Answer:
Explanation:7-3=4
12-7=5
18-12=6
Similarly, 25+8=33
Workspace
Huawei
33. a,b,c are positive real numbers
a(b+c)=32
b(c+a)=65
c(a+b)=77
find abc
Answer:
Explanation:ab+ac=32 ->ab=32-acac+cb=77 ->cb=77-acab+cb=65 ->(32-ac)+(77-ac)=65-2ac=65-1092ac=44ac=22cb=55ab=10a².b².c²=22.55.10(a.b.c)²=12100a.b.c=110
Workspace
Huawei
34. Find out next term.
1,2,2,4,8,...?
Answer:
Explanation:next term is product of previous two terms 1*2=2 2*2=4 2*4=8 4*8=32 So answer is 32
Workspace
Huawei
35. A man buys oranges at Rs 5 a dozen and an equal number at Rs 4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How many oranges does he buy ?
Answer:
Explanation:Cost Price of 1 dozen at Rs. 5 and 1 dozen at Rs. 4 = 4+5 = 9 Rs.
The selling price of 2 dozen = 5.5*2 = 11 Rs.
Profit = 2rs / 2 doznes = 1rs/dozens
To make 50rs profit he sold 50 dozens.
Workspace
Huawei
36. If 9x-3y=12 and 3x-5y=7, then 6x+2y = ?
Answer:
Explanation:Given, 9x-3y=12 —(i) & 3x-5y=7 —(ii)
Subtracting (ii) from (i), we get 6x+2y=5
Workspace
Huawei
37. Three vehicle speed ratio is 1:2:3 & time ratio is 3:2:1. What is the distance ratio?
Answer:
Explanation:Speed, let ratio be x................x : 2x : 3x
Time, let ratio be y..................3y : 2y : y
since distance = speed * time =3xy : 4xy :3xy = 3:4:3
Workspace
L&T Infotech Huawei
38. The cost of a TV is rs.2400 which is 20% below the marked price.If it is sold at a discount of 16% on the marked price,then find its marked price,selling price and profit ?
Answer:
Explanation:Let the marked price be x
SP is 20% below x
Then x*80/100 = 2400
4x/5 = 2400
4x = 12000
x = 3000
For 16% discount on x, SP ll be
SP = 3000*84/100 => CP = 2520
Profit = 2520 - 2400 = 120
Marked Price : 3000
Selling Price : 2520
Profit : 120
Workspace
Huawei
39. Given two numbers a and b. Let A denote the single AM between these and S denote the sum of n AMs between them. Then S/A depends upon
Answer:
Explanation:Here is no explanation for this answer
Workspace
Huawei
40. Two-third of one-seventh of a number is 87.5% of 240. Whar is the number?
Answer:
Explanation:let number be x
2/3*1*7*x=240*87.5/100
2x/21=2.4*87.5
2x/21=210
2x=4410
x=2205
Workspace
Huawei