26. In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of?
A. Rs. 6500 B. Rs. 3100 C. Rs. 9600 D. Rs. 6240
Answer: D. Rs. 6240
Explanation:
To get Rs. 10, investment = Rs. 96 To get Rs. 650, investment = Rs. (96/10) x 650 = Rs. 6240.
27. Rs. 9800 is invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is?
A. Rs. 4800 B. Rs. 5400 C. Rs. 5000 D. Rs. 5600
Answer: C. Rs. 5000
Explanation:
Let the investment in 9% stock is x. investment in 10% stock = (9800 ? x) 9/75 * x = 10/80(9800 ? x) hence x = 5000
28. The simple interest on a certain sum of money at the rate of 5% p.a. for 8 years is Rs. 840. At what rate of interest the same amount of interest can be received on the same sum after 5 years ?
29. A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. What is the principal amount?
A. Rs. 1520 B. Rs. 2000 C. Rs. 1880 D. None
Answer: B. Rs. 2000
Explanation: SI for 3 year = 2600-2240 = 360 SI for 2 year 360/3 * 2 = 240 principal = 2240 ? 240 = 2000
30. Avinash borrowed Rs. 5000 from Sanjay at simple interest. After 3 years, Sanjay got Rs. 300 more than what he had given to Avinash. What was the rate of interest per annum?
A. 2% B. 8% C. 5% D. 10%
Answer: A. 2%
Explanation: (100 * 300 )/(5000*3) = 2%
31. Rs. 800 amounts to Rs. 920 in 3 years at simple interest. If the interest rate is increased by 3%, it would amount to how much ?
A. Rs. 992 B. Rs. 1112 C. Rs. 1056 D. Rs. 1182
Answer: A. Rs. 992
Explanation:
Principal = 800 SI = 120 Time = 3 year Rate = (100*120/800*3) = 5% New rate = 8 % principal = 800 time 3 year SI = (800*8*3/100) = 192 New amount = 800 + 192
32. If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a., then the gain of B (in Rs.) in a period of 3 years is?
A. 107.50 B. 157.50 C. 115.50 D. 177.50
Answer: B. 157.50
Explanation: Gain = (3500*11.5*3 /100) ? (3500*10*3/100) = 157.50
Answer: B. 157.50
33. There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is?
A. 20 B. 80 C. 100 D. 200
Answer: C. 100
Explanation:
Let the number of students in rooms A and B be x and y respectively. Then, x ? 10 = y + 10 x ? y = 20 ???????1 and x + 20 = 2(y ? 20) x ? 2y = -60 ???????2 Solving 1 and 2 x = 100 , y = 80. The required answer A = 100.
34. One-third of Rahul?s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
A. Rs. 30,000 B. Rs. 50,000 C. Rs. 60,000 D. Rs. 90,000
Answer: C. Rs. 60,000
Explanation:
Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 ? x) respectively. Then, 1/3x=1/2(150000-x) (x/3)+(x/2)=75000 5x/6=75000 X=(75000×6)/5=90000
Savings in Public Provident Fund = Rs. (150000 ? 90000) = Rs. 60000
35.To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
A. 10 B. 35 C. 62.5 D. Cannot be determined
Answer: C. 62.5
Explanation:
Let the capacity of 1 bucket = x. Then, the capacity of tank = 25x. Let the capacity of 1 bucket = x. Then, the capacity of tank = 25x. New Capacity of bucket=2/5x Required number of bucket= (25x)/(2x/5) (25x) (5/2x) =125/2 =62.5
36. A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
A. 45 B. 60 C. 75 D. 90
Answer: D. 90
Explanation:
Let number of notes of each denomination be x. Then x + 5x + 10x = 480 16x = 480 x = 30. Total number of notes = 3x = 90.
37. The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is?
A. Rs. 3500 B. Rs. 3750 C. Rs. 3840 D. Rs. 3900
Answer: D Rs. 3900
Explanation:
Let the cost of a chair and that of a table be Rs. x and Rs. y respectively. Then, 10x = 4y or y = 5 /2x. 15x + 2y = 4000 15x + 2 x 5/2 x = 4000 20x = 4000 x = 200. So, Y= (5/2) (200)= 5000 Hence, the cost of 12 chairs and 3 tables = 12x + 3y = Rs. (2400 + 1500) = Rs. 3900.
38. What number should be added to each of the numbers 8, 21, 13 and 31 so that the resulting numbers, in this order form a proportion?
A. 2 B. 5 C. 3 D. 7
Answer: B. 5
Explanation:
(8+x)/ (21+x) = (13+x)/ (31+x) Then, (8 + x) (31 + x) = (13 + x) (21 + x) Or 39x + 248 = 34x + 273 or 5x=25 or x = 5.
39. A certain amount was divided between Salim and Rahim in the ratio of 4: 3. If Rahim?s share was Rs. 2400, the total amount was?
A. Rs. 5600 B. Rs. 9600 C. Rs. 3200 D. Rs. 16800
Answer: A. Rs. 5600
Explanation:
Let S = 4x and R = 3x. Total amount = 7x. Then, 3x = 2400 so x= 800. Total amount = 7x = Rs. 5600
40. An amount of money is to be distributed among F, Q and R in the ratio 3: 5 : 7. If Qs share is Rs. 1500, what is the difference between Ps and Rs shares?
A. Rs. 1200 B. Rs. 1600 C. Rs. 1500 D. Rs. 1900
Answer: A. Rs. 1200
Explanation:
Let P = 3x, Q = 5x and R = 7x. Then, 5x = 1500 ? x = 300. P=900, Q=1500 and R = 21OO. Hence, (R ? p) = (2100 ? 900) = 1200
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