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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The cost of 15 kgs. of sugar is Rs. 255, the cost of 17 kgs. of tea is Rs. 1615 and the cost of 22kgs. of rice is Rs. 572. What is the total cost of 18 kgs.of sugar, 21 kgs. of tea and 27 kgs. Of rice?

  

  

  

  

  

From 7 men and 5 ladies a committee of 4 is to be formed. If Mrs. X is not willing to join the committee in which Mr.Y is a member whereas Mr. Y is willing to join the committee only if Mrs. Z is included, how many such committees in all are possible?

  

  

  

  

If x = 5 + 2√6, then (x -1)/√x is equal to:

  

  

  

  

The market value of a 10.5% stock, in which an income of Rs. 756 is derived from investing Rs. 9000, brokerage being ¼%, is

  

  

  

  

2 men, 3 women and 8 machines take 12 days to complete a job and 6 women and 28 machines take 6 days to complete it. A man and a machine take 45 days to complete it. Find the time taken by a machine to complete it (in days).

  

  

  

  

A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?

  

  

  

  

If the cube root of the square root of a number is 5, what is the number?

  

  

  

  

  

100 x 10 -100+2000÷100 =?

  

  

  

  

 (26.3x 12x 20)÷3+125=?

  

  

  

  

  

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

  

  

  

  

One of the editors must work completely alone for the whole day in order to prevent confusion and disorder. If no other editor can afford to lose his available time, then the only possible editor privileged with working alone is

  

  

  

  

The angle of elevation of a ladder leaning against a wall is 600 and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

  

  

  

  

A 9% stock yields 8%. The market value of stock is

  

  

  

  

If 8 men can reap 80 hectares 24 days, then how many hectares can 36 men reap in 30 days?

  

  

  

  

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 tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

  

  

  

  

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

  

  

  

  

(408 + 220+ 102) + (240-?-57) = 29.2

  

  

  

  

  

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?

  

  

  

  

The person worth of Rs. 1404 due in two equal half yearly installments  at 8% per annum simple interest is

  

  

  

  

A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?

  

  

  

  

Vivek purchased 120 tables at a price of Rs 110 per table. He sold 30 tables at a profit of Rs 12 per table and 75 tables at a profit of Rs 14 per table. The remaining tables were sold at a loss of Rs 7 per table. What is the average profit per table?

  

  

  

  

  

If 4x + 3y = 18xy and 2x – 5y + 4xy = 0, then the value of x and y will be respectively:

  

  

  

  

How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?

  

  

  

  

5x2 – 13xy + 6y2 = 0,then x : y is:

  

  

  

  

What is the proportion of Government internet owners to the Private internet owners in the period 1999-2000?

  

  

  

  

  

2, 6, 12, 20, 30, 42, 56, (__)

  

  

  

  

If 20 – 4 = 10 and 30 – 6 = 10 then 40 – 8 = ?

  

  

  

  

If the rate increases by 2%, the simple interest received on a sum of money increases by RS. 108. If the time period is increased by 2 years, the simple interest on the same sum increases by Rs. 180. The sum is:

  

  

  

  

  

The average height of 25 boys is 1.4 m. When 5 boys leave the group, then the average height increase by 0.15 m. What is the average height of the 5 boys who leave ?

  

  

  

  

The distances from A to B, B to C and C to D, are 12 kms. each. A man runs from A to B at a speed of X kms/hour. After reaching B, he rests for X hours and runs from B to C at double the previous speed. At C he rests for 2 X hours and runs from C to D at double his speed from B to C. He reaches D in 16 hrs after starting from A. Then a possible value of X is

  

  

  

  

To comfortably sit in a room, every girl must be allowed a floor space of 2 sq.m. and air space of 5.5 cubic metres.  Fifty girls are to be seated comfortably in a room 10m. long.  What should be its height?

  

  

  

  

A watch ticks 90 times in 95 secs. And another watch ticks 315 times in 323 secs. If they start together, how many times will they tick together in first hour?

  

  

  

  

Mohan deposits Rs.150 on the first of every month starting from 1st Jan1985, in the recurring deposit scheme of a bank which allows simple interest @ 6% p.a.on the sum standing to his credit at the end of each month. What is the amount, Mohan is entitled to on 31st Dec, 1985

  

  

  

  

A shop gives 10% discount on the purchase of an item. If paid for in cash immediately, a further discount of 12% is given. If the original price of the item is Rs. 250, what is the price of the article if a cash purchase is made?

  

  

  

  

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 20% of a = b, then b% of 20 is the same as:

  

  

  

  

X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?

  

  

  

  

A can contains a mixture of two liquids A and B in thye ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the initially?

  

  

  

  

In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. What percentage of the poor population is illiterate?

  

  

  

  

Mary jogs 9 km at a speed of 6 km per hour. At what speed would she need to jog during the next 1.5 hours to have an average of 9 km per hour for the entire jogging session?

  

  

  

  

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

  

  

  

  

85 kg of a mixture contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3 : 1 ?

  

  

  

  

a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are

  

  

  

  

  

The ratio of actual spending on food in 2005 to that in 1980 is:

  

  

  

  

  

A batsman scored 110 runs which included 3 boundaries and 8 sixes, What percent of his total score did he make by running between the wickets?

  

  

  

  

A boat covers a distance of 30km downstream in 2 hour while it takes 6 hour to cover the same distance upstream. What is the speed of the boat in km/hr

  

  

  

  

325-(12)² + 75= (?)²-68  

  

  

  

  

  

What is the minimum length of a string with which one can surround a triangle of area 36√3 cm?

  

  

  

  

A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed?

  

  

  

  

Simplify the expression (1+i)6+(1+i)4 .

  

  

  

  

Aman gave 40% of the amount he had to Rohan. Rohan in turn gave one-fourth of what he received from Aman to Sahil. After paying Rs. 200 to the taxi driver out of the amount he got from Rohan, Sahil now has Rs. 600 left with him. How much did Aman have?

  

  

  

  

If ( p - q) 2 = ( x – y ) 2, then x =

  

  

  

  

10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days?

  

  

  

  

If x + y > 4 and x < 3, then y > 1 is true.  Is this statement true?

  

  

  

  

If log 2=0.3010 and log 3=0.4771, then value of log5 512 is

  

  

  

  

(4356)1/2 ÷ 11/4=√? X6

  

  

  

  

  

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

  

  

  

  

  

The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:

  

  

  

  

Solve the simultaneous inequalities: 13x + 4 < 5x +20 andl2x+5>9x + 14.

  

  

  

  

If √(x-y)(y+2)=7, x and y being positive whole numbers, then the values of x and y respectively are:

  

  

  

  

Peter bought an item at 20% discount on its original price. He sold it with 40% increase on the price he bought it. The new sale price is by what percent more than the original price?

  

  

  

  

  

If the area of a circle decreases by 36%, then the radius of a circle decreases by

  

  

  

  

  

2.002 + 7.9 {2.8 – 6.3 (3.6 – 1.5) + 15.6} = ?

  

  

  

  

A wholesaler allows a discount of 10% on cash payment. The value of the article for which the customer paid Rs. 180 is-

  

  

  

  

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 man invests Rs. 3000 at a rate of 5% per annum. How much more should he investat a rate of 8%, so that he can earn a total of 6% per annum?

  

  

  

  

6, 12, 48, 100, 384, 768, 3072 Find out the wrong number in the series.

  

  

  

  

  

Find the area of the cyclic quadrilateral whose sides are 15,12,10 and 13 cms.

  

  

  

  

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:

  

  

  

  

A juice shop requires 35 kgs. of sugar for seven days. How many kgs. of sugar will it require for 50 days?

  

  

  

  

  

45 men can do a piece of work in 20 days. How many men would be required to do the same work in 30 days?

  

  

  

  

  

If 5+2√3/7+√3=a+b√3,then :

  

  

  

  

Which of the following statements is NOT true?

  

  

  

  

If 13x + 1 < 2?z , and z+3 =5y then

  

  

  

  

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by

  

  

  

  

The compound interest on a sum of money for 2 years in Rs. 832 and the simple interest on the same sum for the same period is Rs. 800. The difference between the compound interest and the simple interest for 3 years will be:

  

  

  

  

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

  

  

  

  

If ‘P’ denotes ‘multiplied by’ , ‘R’ denotes ‘added to’; ‘T’ denotes ‘subtracted from’ and ‘W’ denotes ‘divided  by ‘, then 64W4P8TR$=?

  

  

  

  

  

XYZ is an equilateral triangle with vertices X (6, -2), Y (2, - 1) and Z (4, -2). If ZA is one of its medians find the length of the median

  

  

  

  

If log10 2=0.3010, then log2 10 is equal to

  

  

  

  

If log10 125+log10 8=X, then X is equal to

  

  

  

  

80% of p = 40% of Q and Q = X % P . Then the value of x is

  

  

  

  

Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs 153 per Kg , the price of the third variety per Kg will be?

  

  

  

  

If the equations x2 + ax + b = 0 and x2 + bx + a = 0, have one root in common, then find the value of (a + b).

  

  

  

  

3 ? 14 55 274 1643

  

  

  

  

  

The compound interest on any sum at the rate of 5% lb two years is ?512.50. Find the sum.

  

  

  

  

  

For Company A, in which year is the percentage increase/ decrease in the production from the previous year the highest?

  

  

  

  

  

A 70 cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. How many centimeters will the shorter piece be ?

  

  

  

  

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

  

  

  

  

What is the ratio of the number of units manufactured in the year 2003 to the number of units manufactured in the year 2007?

  

  

  

  

  

Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?

  

  

  

  

The average number of printing error per page in a'bod 512 pages is 4. If the total number of printing error ml first 302 pages is 1,208, the average number of printinget per page in the remaining pages is'

  

  

  

  

  

There are three cities A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from on city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?

  

  

  

  

A man invested 1/3 of his capital at 7%, 1/4 at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is

  

  

  

  

What is the slope of the line given by the equation 3w - 7 = 6 - 2y?

  

  

  

  

  

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

  

  

  

  

If a2 = b4 = c8 = d16, then logd2 (abc)1/3

  

  

  

  

For which of the following years, percentage increase/ decrease in the number of students studying Commerce with respect to the previous year is the maximum?

  

  

  

  

  

A car travels from P to Q at a constant speed. If its speed were increased by 10 km/hr, it would have taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/hr. What is the distance between the two cities?

  

  

  

  

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