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Aptitude
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1. In how many different ways can the
letters of the word “PRINCIPAL” be arranged?
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1) 90720
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2) 181440
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3) 362880
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4) 45360
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5) 22680
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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?
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1) Rs 18300
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2) Rs 18700
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3) Rs 18900
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4) Rs 19300
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5) Rs 19600
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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?
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1) Rs 15800
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2) Rs 16000
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3) Rs 16400
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4) Rs 16750
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5) Rs 17200
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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?
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1) 1.32 lakh
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2) 1.21 lakh
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3) 1.18 lakh
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4) 1.24 lakh
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5) 1.28 lakh
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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?
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1) 36 days
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2) 42 days
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3) 45 days
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4) 48 days
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5) 32 days
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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?
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1) Rs 28532
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2) Rs 32608
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3) Rs 36684
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4) Rs 24456
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5) Rs 20380
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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?
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1) 11
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2) 13
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3) 14
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4) 17
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5) 15
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8. If x + y = 103 and xy = 2640, what is
the value of x2 + y2 ?
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1) 5018
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2) 4905
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3) 5329
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4) 5210
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5) None of these
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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?
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1) 7
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2) 8
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3) 9
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4) 12
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5) 16
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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?
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1) 18.125%
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2) 21.875%
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3) 23.25%
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4) 28%
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5) 36%
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Answers:
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1. 1
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Total letters are
‘9’ in which ‘P’ and ‘I’ comes twice
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Number of
arrangements = 9!/2!2! = 90720
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2. 2
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Let the principal
be ‘x’
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Interest = (27863
– x)
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x = {(27863 - x)
* 100}/7*7
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49x =
2786300-100x
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x = 18700
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3. 3
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Let the cost
price be x
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x + x * 18.75/100
= 19475
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118.75x/100 =
19475
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x = Rs. 16400
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4. 4
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Let its
population two years back was ‘x’
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x * 108/100 *
95/100 = 127224
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x = 124000
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5. 2
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21 men 1 day work
= 1/16
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1 men 1 day work
= 1/(16 * 21)
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8 men 1 day work
= 8/(16 * 21) = 1/42
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8 men can finish
the work in 42 days
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6. 1
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Ratio between
profit of A, B & C
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= 12 × 12 : 18 ×
7 : 54 × 5 = 8 : 7 : 15
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Share of B =
122280/30 * 7 = 28532
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7. 1
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Let total number
of goats be ‘x’ and that of hens be
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‘y’
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x + y = 83 ...(I)
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4x + 2y = 260
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2x + y = 130
...(II)
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equation (II) –
equation (I)
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2x + y = 130
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x + y = 83
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– – –
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x = 47
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y = 83 – 47 = 36
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Difference = 47 –
36 = 11
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8. 3
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x^2 + y^2 = (x +
y)^2 - 2xy
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(103)^2 - 2 *
2640 = 10609 - 5280 = 5329
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9. 2
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; LCM of 4, 6,
10, 14 and 20 is 420
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So they will toll
together every time after 420 seconds
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Number of toll is
one hour = (60 * 60)/420 = 8.571
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10. 2
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28/(100 + 28) *
100 = 27.874%
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