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Aptitude Test(1 hour)
1.What could be the maximum value of Q in the following equation?
2.What least value must be assigned to * so that the number 197*5462 is divisible by 9?
3.Find the sum of all odd numbers upto 100.
4. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews.If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?
5.if a2+b2=117 and ab=54, then find the value of (a+b)/(a-b).
6.Find the average of first 20 multiples of 7.
7. The average of 11 results is 60. If the average of first six results is 58 and that of the last six is 63, find the sixth result.
8.The ratio between a two-digit number and the sum of the digits of that number is 4:1 .If the digit in the unit,s place is 3 more than the digit in the ten,s place, what is the number?
9.Abhay,s after six years will be three-seventh of his father,s age.Ten years ago, the ratio of their ages was 1:5. What is Abhay,s father,s age at present?
10.if the squre root of .00000676 is .0026 then what is the squre root of 6760000 ?
Directions(Question 11 to 15) :Each of the question given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statements is/are necessary to answer the questions.
11.What is the present age of A ?
I. The sum of the ages of A and B is 21 years.
II.The difference of the ages of A and B is 5 years.
III. The product of the ages of A and B is 104 years.
(a) I and II only (b)II and III only (c)I and III only 2
(d)Any two of the three (e)None of these.
12.What is the present age of Tanya?
I. The ratio between the present ages of Tanya and her brother Rahul is 3:4 respectively.
II.After 5 years the ratio between the ages of Tanya and Rahul will be 4:5.
III.Rahul is 5 year older than Tanya.
(a) I and II only (b)II and III only (c)I and III only
(d)All I,II and III (e) Any two of the three.
13.What is the difference between the ages of Y and X?
I. The ratio between the ages of X and Y is 2:3
II.Y,s age is 50% more than X,s age.
III.One-fourth of X,s age is equal to one sixth of Y,s age.
(a)All I ,II and III (b)Any two of the three (c)III and either I or II
(d)Only I and II (e)Question cannot be answered even with information in all three statements
14.What is Arun,s present age?
I. Five years ago, Arun,s was double that of his son,s age at that time.
II.Present ages of Arun and his son are in the ratio of 11:6 respectively.
III.Five year hence, the respective ratio of Arun,s age and his son,s age will become 12:7.
(a)Only I and II (b) Only II and III (c)Only I and III
(d)Any two of the three (e) none of these
15.What is Ravi,s present age?
I.The present age of Ravi is half of that of his father.
II.After 5 years, the ratio ratio of Ravi,s age to that of his father,s age will be 6:11.
III.Ravi is 5 years younger than his brother.
(a)I and II only (b)II and III only (c)I and III only 3
(d)All I ,II and III (e)Even with all the three statements answer can not be given.
16.if x=ya, y=zb and z=xc, then find the value of abc.
17. How many kg of pure salt must be added to 30 kg of 2% solution of salt and water to increase it to a 10% solution?
18.When a producer allows 36% commission on the retail price of his product, he earns a profit of 8.8%. What would be his profit percent if the commission is reduced by 24% ?
19.A dealer sold three-fourth of his articles at a gain of 20% and the remaining at cost price. Find the gain earned by him in the whole transaction.
20.A, B and C enter into partnership. A invests 3 times as much as B invests and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B?
21.A and B working separately can do a piece of work in 9 and 12 days respectively.If they work for a day alternately, A beginning, in how many days, the work will be completed?
22.45 men complete a work in 16 days. Six days after they started working, 30 more men joined them.How many days will they now take to complete the remaining work ?
23A train running at 54 kmph takes 20 seconds to pass a plateform. Next it takes 12 seconds to pass a men walking at 6 kmph in the same direction in which the train is going. Find the length of the train and the length of the plateform.
24. Evaluate: log927-log279
25. Walking at 5/6 of its usual speed, a train is 10 minutes too late.Find its usual time to cover the journey?
Directions(26-28): In each of the following questions, a number series is given with one term missing .Chose the correct alternative that will continue the same pattern and fill in the blank spaces.
26. 1, 2, 3, 6, 9, 18 , ... ,54
(a) 18 (b) 27 (c) 36 (d) 81
27. 5, 17, 37, 65, ..., 145
(a) 95 (b) 97 (c) 99 (d) 101
28. 17, 19, 23 , 29, ..., 37 4
(a)31 (b) 33 (c) 35 (d) 36
29. P+Q means P is brother of Q, P-Q means P is mother of Q and P*Q means P is sister of Q. Which of the following means M is the maternal uncle of R?
(a)M+K+R (b)M-R+K (c) M+K-R (d)M+K*R (e) None of these
30.If orange is called butter, butter is called soap, soap is called ink, ink is called honey and honey is called orange, which of the following is used for washing cloths?
(a)Honey (b)Butter (c)Orange (d)Soap (e)Ink.
Directions(31-35): Read the following information carefully and answer the questions that follow:
(I)Five friends P, Q, R, S and T travelled to five different cities of Chenni, Calcutta, Delhi, Bangalore and Hyderabad by five different modes of transport of Bus, Train, Aeroplane, Car and Boat from Mumbai.
(II)The person who travelled to Delhi did not travel by Boat.
(III)R went to Bangalore by Car and Q went to Calcutta by Aeroplane .
(IV)S travelled by boat whereas T travelled by Train.
(V)Mumbai is not connected by bus to Delhi and Chennai.
31.Which of the following combinations of person and mode is not correct?
(a)P-Bus (b)Q-Aeroplane (c)R-Car (d)S-Boat (e)T-Aeroplane
32.Which of the following combinations is true for S?
(a)Delhi-Bus (b)Chenni-Bus (c)Chennai-Boat (d) Data inadequate (e) None of these
33.Which of the following combinations of place and mode is not correct?
(a)Delhi-Bus (b)Calcutta- Aeroplane (c)Bangalore-Car (d)Chennai- Boat (e)Hyderabad-Bus
34.The person travelling to Delhi went by which of the following modes?
(a)Bus (b)Train (c)Aeroplane (d) Car (e)Boat
35.Who among the following travelled to Delhi?
(a)R (b)S (c)T (d) Data inadequate (e)None of these 5
36.Pointing to a photograph, a man said, "I have no brother or sister but that man,s father is my father,s son." Whose photograph was it?
(a) His own (b)His son,s (c) His father,s (d)His nephew,s (e) None of these
37.While travelling in your car, certain persons stop you on the way asking you to take an injured child to the hospital. You would:
(a)ask them to leave your way and then drive away.
(b)ask them to first call the polish.
(c )immediately take the child to hospital.
(d)get out of the car and ask some other person to help them.
Directions(38-40):In each of the following questions, examine the given statements carefully and find out which two of the statements can not be true simultaneously, but can both be false.
38(I) All animals are carnivorous (II) Some animals are not carnivorous
(III)Animals are not carnivorous (IV)Some animals are carnivorous.
(a)I and II (b) II and III (c) I and III (d)III and IV
39.(I)All children are inquisitive. (II)Some children are inquisitive
(III)No children are inquisitive. (IV) Some children are not inquistive
(a)I and Iii (b)I and IV (c)II and III (d)III and IV
40.(I)Some nations wish for peaceful coexistence.
(II)All nations wish for peaceful coexistence.
(III)Some nations are not wishing for peaceful coexistence.
(IV)No nations are wishing for peaceful coexistence.
(a)I and II (b)I and III (c) II and IV (d) III and IV