IBPS - Aptitude Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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   Time Left : 00 : 30    : 00

If A : B =8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to:

  

  

  

  

11.6 +9.28 ÷ 0.464 – 0.2828 + 0.07 - ?

  

  

  

  

If x = 3 –  √5 , then the value of x2+16/x2 is equal to

  

  

  

  

The circumference of two circles is 88 metres and 220 metres respectively. What is the difference between the area of the larger circle and the smaller circle?

  

  

  

  

  

A boat covers a certain distance downstream in 1 hour, while it comes back in 1 ½ hours. If the speed of the stream be 3 kmph what is the speed of the boat in still water?

  

  

  

  

A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr The man’s speed against the current is?

  

  

  

  

The value of 1÷[1 + 1 ÷{1 + 1 ÷(1 + 1 ÷2)}] is:

  

  

  

  

If f (x+(y/8), x-(y/8)) = xy, then f (m, n) + f (n, m) = 0

  

  

  

  

Find the compound interest on the sum of Rs. 4000@ 12%p.annum at the end of two years?

  

  

  

  

What will come in place of question mark (?) 362.721 + 431.027 - 118.079 = 521.211 + ?

  

  

  

  

  

Water flows at the rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm?

  

  

  

  

Two friends P and Q started a business investing amounts in the ratio of 5:6. R joined them after six months investing an amount equal to amount Q’s amount. At the end of the year 20% profit was earned which was equal to  98,000. What was the amount invested by R?

  

  

  

  

  

Three varieties of sugar are priced at Rs 10 per kg, Rs12 per kg and Rs 16.per kg. They are mixed and sold at Rs 12.10 per kg and a profit of 10 per cent is made.The ratio in which these varieties are mixed is

  

  

  

  

The L.C.M. of 6x2 – 5x – 6 and 12x2 + 11x + 2 is

  

  

  

  

The curved surface area of a right circular cylinder of base radius r is obtained by multiplying its volume by

  

  

  

  

A sphere of maximum volume is cut out from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut out sphere is

  

  

  

  

If e varies directly as n and e/d = 10, then what is the value of e when d = 30?

  

  

  

  

  

If p and q are real numbers; p ≠  0, then the equation 3x – 5 + q = px + 1 has no solution, if

  

  

  

  

N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time taken for singing is 28 minutes, what is N?

  

  

  

  

If 5√5 x 53 + 5-3/2 = 5a+2, then the value of a is:

  

  

  

  

Amrita took a loan of Rs. 50,600/- at a certain rate of simple interest for 5 years. At the end of 5 years she repayed an amount of Rs 65,780/-. What is the rate of interest at which Amrita took the loan?

  

  

  

  

  

In a simultaneous throw of two coins he probability of getting at least one head is

  

  

  

  

A tank is filled in 5 hours by theree pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank ?

  

  

  

  

  

Two cards are drawn  together from a pack of 52 cards .The probability that one is a spade and one is a heart ,is

  

  

  

  

A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?

  

  

  

  

9050 ÷ 40=?  

  

  

  

  

  

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6.25% p.a for 2 years. Find his gain in the transaction per year.

  

  

  

  

If the perimeter of a rectangle is 90, what is the area of the rectangle?

  

  

  

  

  

 The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?  

  

  

  

  

The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

  

  

  

  

  

A milk man borrowed ?2,500 from two money lenders. For one loan, he paid 5% p.a. and for the other, he paid 7% p.a. The total interest paid for two years was Z 275. How much did he borrow at 7% rate?

  

  

  

  

  

If √1+55/729=1+x/27 then the value of x is :

  

  

  

  

A and B play a game where each is asked to select a number from 1 to 5. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is:

  

  

  

  

A 210m long train takes 6s to cross a man running at 9 kmph in a direction opposite to that of the train. What is the speed of the train? (in kmph)

  

  

  

  

  

How much water must be added to 60 litres of milk at 1 ½ litres for 20 so as to have a mixture worth 10 2/3 a litre? 

  

  

  

  

  

How many four-letter computer passwords can be formed using only the symmetric letters (no repetition allowed)?

  

  

  

  

Let N = 553 + 173 - 723. N is divisible by:

  

  

  

  

34.95 + 240.016 + 23.98 = ?

  

  

  

  

Fi nd the next term in the series 123, 129, 141, 147, ______

  

  

  

  

What is the percent profit earned by the shopkeeper on selling the articles in his soap? I. Labelled price of the article sold was 130% of the cost price. II. Cost price of each article was Rs. 550. III. A discount of 10% on labeled price was offered.

  

  

  

  

  

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?

  

  

  

  

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first being 10%. What was the second discount rate?

  

  

  

  

  

By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg, a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg. 3 kg of the other brand is added, then how much per kg does the other band cost?

  

  

  

  

I bought a watch for Rs. 60. What will it fetch if I sell at a gain of 25%??

  

  

  

  

Which of the following fractions is the smallest?

  

  

  

  

The H.C.F. of 2923 and 3239 is :

  

  

  

  

A circular garden has a circumference of 440m. There is a 7m border inside the garden along its periphery. The area of the border is

  

  

  

  

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

  

  

  

  

The value of √0.16/0.4 is

  

  

  

  

If x=2+22/3+21/3, then which of the following is true?

  

  

  

  

There are two sections A and B of a class, consisting of 36 and 44 students’ respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.

  

  

  

  

Solid cube of 6 * 6 * 6. This cube is cut into to 216 small cubes. (1 * 1 * 1).the big cube is painted in all its faces. Then how many of cubes are painted at least 2 sides.

  

  

  

  

In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

  

  

  

  

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

  

  

  

  

  

If ( p - q) 2 = ( x – y ) 2, then x =

  

  

  

  

The ratio between the rate of walking of x and y is 2:3. If the time taken by B to cover a certain distance is 24min, to cover the same distance A will take:

  

  

  

  

The price of a T.V. set worth F 20,000 is to paid in 20 instalments of Z 1000 each. If the rate of interest be 6% per annum, and the first instalment be paid at the time of purchase, then the value of the last instalment covering the interest as well will be

  

  

  

  

  

Tarun got 30% concession on the labeled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labeled price?

  

  

  

  

  

(3080 + 6160) +28 = ?

  

  

  

  

  

If 3x – 5y = 5 and x/x + y = 5/7, then what is the value of x – y ?

  

  

  

  

  

A candidate appearing for an examination has to secure 35% marks to pass. But he secured only 40 marks and failed by 30 marks. What would be the maximum marks of test?

  

  

  

  

  

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?

  

  

  

  

  

The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class

  

  

  

  

√7+√5/√7-√5 is equal to:

  

  

  

  

If α, β are the roots of (x –√ 3) (x –√ 5) =√ 7, the roots of (x –α) (x –β) +√ 7= 0 are

  

  

  

  

Let x and y be consecutive integers. Suppose m be the number of solutions of x3 − y3 = 3k2 and n be the number of solutions of x3 − y3 = 2t2,where k, t are integers. Then m + n equals:

  

  

  

  

  

In a 100m race A cover the distance in 36 seconds and B in 45 seconds. In this race A beats B by

  

  

  

  

Which letter is such that the difference of its integer-code with the integer-code of T is the same as that between the integer-codes of N and S?

  

  

  

  

A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already half full and both the tanks are opened together the tank will be:

  

  

  

  

If the interest on Rs. 800 exceeds that on Rs. 600 by Rs. 15.50 in 6 months, find the rate percent p.a

  

  

  

  

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is;

  

  

  

  

A sum of Rs. 2600 is lent out I two parts in such a way that the interest on one part at 10% for 5 years is equal to that on another at 9% for 6 years. The sum lent out at 10% is

  

  

  

  

The internet represents that awkward _______ in all communication systems; while it _______ to bring us together, it keeps us apart

  

  

  

  

If the value of x lies between 0 & 1 which of the following is the largest?

  

  

  

  

Which of the following element  is lightest and has the atomic number 1?

  

  

  

  

The fourth proportional to 5, 8, 15 is:

  

  

  

  

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per  annum is:

  

  

  

  

A theif steals a car at 1p.m. and drives it at 20km/hr. The theft is discovered at 2p.m. The owners sets of another car at 30 km/hr, he will overtake the thief at:

  

  

  

  

A man sold two steel chairs for X 500 each. On one he gains 20% and on other, he loses 12%. How much does he gain or lose in the whole transaction?

  

  

  

  

  

5982 + 1345 + 736-? = 4588 ÷ 992

  

  

  

  

  

The price of a t.v. set worth Rs. 20,000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first instalment be paid at the time of purchase, then the value of the best instalment covering the interest as well will be

  

  

  

  

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

  

  

  

  

In 1994, students seeking jobs in finance earned Rs. _____ more than those opting for software (in lakhs)

  

  

  

  

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

  

  

  

  

Successive discounts of 20% and 15% are equivalent to a single discount of

  

  

  

  

In a cyclic quadrilateral ABCD, if AB = 2, BC = 3, CD = 4 and DA = 5, what is the ratio of the lengths of the diagonals?

  

  

  

  

A number is selected at random from first thirty natural numbers. What is the chance that it is a multiple of either 3 or 13?

  

  

  

  

x varies inversely as square of y. Given that y=2 for x=1 The value of x for y=6 will be equal to:

  

  

  

  

In how many ways can the letters of the word ’RUMOUR’ be arranged

  

  

  

  

12 years ago the ratio between the ages of A and B was 3 : 4 respectively. The present age of A is 3 3/4 times of C's present age. If C's present age is 10 Years, then what is B's present age? (in years)

  

  

  

  

  

(0.04)²÷ (0.008)*(0.2)? = (0.2)^?

  

  

  

  

  

There are three classes X,Y and Z. Average of class X is 83. Average of Class Y is 76. Average of class Z is 85. Average of class X and Y is 79, average of class Y and Z is 81. Find average of three Classes

  

  

  

  

A man invests a certain sum of money at 6%.p.a simple interest and another sum at 7%.p.a. simple interest. His income from interest after 2 years was Rs.354. One-fourth of the first sum is equal to one-fifth of the second sum. The total sum invested was:

  

  

  

  

A man sold 18 cots for Rs. 16,800, gaining thereby the cost price of 3 cots. The cost price of cot is:

  

  

  

  

12.5% * 33% * 40% * 3333.55 =?

  

  

  

  

√841x √64÷√25=?  

  

  

  

  

  

A man takes 20 days to reach the point B under normal circumstances. But, due to the increasingly hostile weather conditions the distance they travel every day reduces by 20%. In how many days would the man reach the point B, taking into consideration weather conditions?

  

  

  

  

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

  

  

  

  

Three unbiased coins are tossed. What is the probability of getting at most two heads?

  

  

  

  

A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement. Find the probability that both toys will show even numbers.

  

  

  

  

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