1. In how many different ways can the letters of the word “PRINCIPAL” be arranged?
1) 90720
2) 181440
3) 362880
4) 45360
5) 22680
2. A person invested an amount for 7 years at a simple interest rate of 7% p.a. He got an amount of Rs 27863 at the end of seven years. What is the principal amount he invested?
1) Rs 18300
2) Rs 18700
3) Rs 18900
4) Rs 19300
5) Rs 19600
3. An owner of a TV shop charges his customer 18.75% more than the cost price. If a customer paid Rs 19475 for a TV set, then what was the cost price of the TV set?
1) Rs 15800
2) Rs 16000
3) Rs 16400
4) Rs 16750
5) Rs 17200
4. The population of a city increases by 8% in first year and decreases by 5% in second year. If the present population of the city is 127224 then what was the population of city two years back?
1) 1.32 lakh
2) 1.21 lakh
3) 1.18 lakh
4) 1.24 lakh
5) 1.28 lakh
5. 21 Men can complete a piece of work in 16 days. In how many days can 8 men complete the same piece of work?
1) 36 days
2) 42 days
3) 45 days
4) 48 days
5) 32 days
6. Two persons ‘A’ and ‘B’ started a business by investing Rs 12 lakh and 18 lakh respectively. ‘B’ left the business after 7 months and ‘C’ joined the business with a sum of Rs 54 lakh. The profit earned at the end of year is Rs 122280 then what is the share of ‘B’ in the profit?
1) Rs 28532
2) Rs 32608
3) Rs 36684
4) Rs 24456
5) Rs 20380
7. Gaurav has some hens and some goats. If the total number of animal heads is 83 and total number of feet is 260 then what is the difference between number of goats & number of hens?
1) 11
2) 13
3) 14
4) 17
5) 15
8. If x + y = 103 and xy = 2640, what is the value of x2 + y2 ?
1) 5018
2) 4905
3) 5329
4) 5210
5) None of these
9. Five bells begin to toll together and toll respectively at intervals of 4, 6, 10, 14 and 20 seconds. How many times they will toll together in one hour, excluding the one at the start?
1) 7
2) 8
3) 9
4) 12
5) 16
10. The price of sugar is raised by 28%, then how much percentage a consumer must reduce his consumption of sugar so as not to increase his expenditure on sugar?
1) 18.125%
2) 21.875%
3) 23.25%
4) 28%
5) 36%
Answers:
1. 1
Total letters are ‘9’ in which ‘P’ and ‘I’ comes twice
Number of arrangements = 9!/2!2! = 90720
2. 2
Let the principal be ‘x’
Interest = (27863 – x)
x = {(27863 - x) * 100}/7*7
49x = 2786300-100x
x = 18700
3. 3
Let the cost price be x
x + x * 18.75/100 = 19475
118.75x/100 = 19475
x = Rs. 16400
4. 4
Let its population two years back was ‘x’
x * 108/100 * 95/100 = 127224
x = 124000
5. 2
21 men 1 day work = 1/16
1 men 1 day work = 1/(16 * 21)
8 men 1 day work = 8/(16 * 21) = 1/42
8 men can finish the work in 42 days
6. 1
Ratio between profit of A, B & C
= 12 × 12 : 18 × 7 : 54 × 5 = 8 : 7 : 15
Share of B = 122280/30 * 7 = 28532
7. 1
Let total number of goats be ‘x’ and that of hens be
‘y’
x + y = 83 ...(I)
4x + 2y = 260
2x + y = 130 ...(II)
equation (II) – equation (I)
2x + y = 130
x + y = 83
– – –
x = 47
y = 83 – 47 = 36
Difference = 47 – 36 = 11
8. 3
x^2 + y^2 = (x + y)^2 - 2xy
(103)^2 - 2 * 2640 = 10609 - 5280 = 5329
9. 2; LCM of 4, 6, 10, 14 and 20 is 420
So they will toll together every time after 420 seconds
Number of toll is one hour = (60 * 60)/420 = 8.571
10. 2
28/(100 + 28) * 100 = 27.874%
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