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Aptitude Test 1
Top of FormQuestion1)One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a number card?
A. 52/12
B. 10/40
C. 10/13
D. 10/10
Your answer :Option A
Correct answer :Option CSolution
P(E) = n(E)/p(s)p(s) = 52c1 =52n(e) = 40c1 =40p(e) = 40/52 = 10/13
Question2)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. 3900
B. 3500
C. 3800
D. 3600
Your answer :Option B
Correct answer :Option ASolution
Let the cost of chair and table is x and y respectively10x = 4yY = 5/2 x15x + 2y = 400015x + 2(5/2)x = 4000X = 200Then y = 50012x + 3y = 12 * 200 + 3 * 500 = 3900
Question3)Insert the missing number 1, 8, 27, 64, 125, 216, 343, __
A. 350
B. 512
C. 445
D. 410
Your answer :Option B
Solution
13, 23, 33, 43, 53, 63, 73So, the missing number is 83is 512
Question4)1 / (1 + a(n-m)) + 1 / (1 + a(m-n)) =?
A. 0
B. None of these
C. am
D. 1
Your answer :Option A
Correct answer :Option DSolution
1 / (1 + an/am) + 1 / (1 + am/an)am/(am+ an)+ an/(am+ an)am+ an/ am+ an= 1
Question5)Find out the wrong number in the given sequence? 5, 11, 19, 29, 41, 53
A. 29
B. 41
C. 53
D. 11
Your answer :Option C
Solution
11-5=6;19-11=8;29-19=10;41 - 29=12;53 - 41=12; sequence of is flow is disturbed
Question6)There are six working days in a normal working week. Each day a worker is expected to work for 9 hours. A man gets Rs. 6 per hour for regular work and Rs. 9 per hour for overtime. If he earns Rs. 1800 in 5 weeks, then how many extra hours did he work during those 5 weeks?
A. 30
B. 22
C. 21
D. 20
Your answer :Option A
Correct answer :Option DSolution
Per day salary during regular working hours is = 6 * 9 = Rs. 54 per daySalary per week = per day salary * No. of days in a weeki.e. => 54 * 6 = 324 Rs for regular workFor 5 week regular work salary is 324 * 5 = 1620Let x be the number of extra hours he worked during those 5 weeks.1620 + (x * 9) = 18009x = 1800 - 1620X = 20
Question7)P and Q together have Rs. 2500. If 3/5 of P's amount is equal to 2/7 of Q's amount, how much amount does P have?
A. 850
B. 800
C. 810.25
D. 806.45
Your answer :Option D
Solution
Let the share of P be x. Q's share will be 2500-x3/5 (x) = (2/7) * (2500-x)21x = 25000 - 10x31x = 25000x = 806.45
Question8)Find the area of a right circular cone whose height is 10 m and slant height is 15m.
A. 150
B. 180
C. 168
D. 185
Your answer :Option C
Solution
R = l2- h2 = 152-102 = 225 - 100=125 = 11.180Area of the curved surface = * r * l = * 11.18 * 15 =168
Question9)P, Q and R can do a piece of work in 10, 20, 30days respectively. In how many days can P do the work if he is assisted by Q and R on every Fifth day?
A. 25days
B. 23days
C. 28days
D. 31days
Your answer :Option C
Correct answer :Option DSolution
From given data we know that P is working for 4 days and on the fifth day he is accompanied by R and QP's can finish = (1/40) * 4 = 1 / 10 of the work in 4 days.On 5thday, they can finish (1/40) + (1/50) + (1/60) = 74/1200 = 37 / 600Total 5 days works is (1/10)+(37/600) = 97/600To complete the whole work = (600/97)*5 = 30.92 approx to 31 days
Question10)Direction for question 10Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and Give answer (a) if the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question. Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question. Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question. Give answer(e) if the data in both Statements I and II together are necessary to answer the question.A Women mixes two types of rice (P and Q) and sells the mixture at the rate of Rs 200 per kg. Find her profit percentage.1. The rate of P is Rs. 50 per Kg.2. The rate of Q is Rs. 100 per Kg
A. a
B. b
C. c
D. d
E. e
Your answer :No option was selected
Correct answer :Option DSolution
Price along with quantity mixed in both P and Q is essential to answer the question. So rate alone is not sufficient to answer this question.
Question11)The banker's gain on a bill due 2 year hence at 10% per annum is Rs. 8. The true discount is:
A. Rs. 30
B. Rs. 45
C. Rs. 40
D. Rs. 55
Your answer :No option was selected
Correct answer :Option CSolution
T.D = B.G *100 / (R *T)= 8 * 100 / (10 * 2)T.D = 40
Question12)To finish a piece of work,P takes Five times as Q and six times as R. Working together, they can finish the work in 4 days. Q can do the work alone in:
A. 20 days
B. 12 days
C. 10 days
D. 9 days
Your answer :No option was selected
Correct answer :Option CSolution
Let us assume that P takes x time to finish the given piece of work. So, P, Q and R would take x, x/5, x/6 respectively to finish the work1/x + 5/x + 6/x = 1/412/x = 1/4x = 48Q's work 48/5 = 9.6 approx to 10 days
Question13)At what angle the hands of a clock are inclined at 30 minutes past 8?
A. 80 degree
B. 85 degree
C. 75 degrees
D. 65 degrees
Your answer :No option was selected
Correct answer :Option CSolution
Change the time 8 hours 30 minutes into 8 + (1/2) =17/2For hour hand ((360/12) * 17/2) = 255For minute hand ((360/60) * 30) = 180Required angle = 255 - 180 = 75 degrees
Question14)A man took loan from a bank at the rate of 10% p.a. simple interest. After 5 years he had to pay Rs. 8000 as total simple interest. The principal amount borrowed by him was:
A. 80000
B. 16000
C. 25000
D. 24000
Your answer :No option was selected
Correct answer :Option BSolution
'p' is principle,
'n' is number of years and'r' is rate of interest.p=?r=10%n=5 yrsp*n*r/100=s.ip*5*10/100=8000p=800000/50p=16000
Question15)Find out the wrong number in the given sequence of numbers 24, 36, 48, 60, 72, 83, 96,
A. 36
B. 48
C. 96
D. 83
Your answer :No option was selected
Correct answer :Option DSolution
All number is multiples of 12 except 83
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