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

What should come in place of question mark (?) 121 114 105 94 81 66 (?)

  

  

  

  

  

If √24 = 4.899, the value of √8/3 is

  

  

  

  

749 -325 -124 / 1254 – 1100 =?

  

  

  

  

  

The mean o 12, 22, 32, 42, 52, 62, 72 is:

  

  

  

  

0.01 X 0.1 - 0.001 ÷10 + 0.01 = ?

  

  

  

  

  

A and B working together can finish a job in T days. If A works alone and completes the job, he will take T+5 days. If B works alone and completes the same job, he will take T+45 days. What is T?

  

  

  

  

If a + b + c = 13, a2 + b2 + c2 = 69, then find ab + bc + ca.

  

  

  

  

A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?

  

  

  

  

A number when increased by 30% give 78 what is the number?

  

  

  

  

A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was;

  

  

  

  

The number of solutions of x2 - 5|x| + 6 = 0 is

  

  

  

  

A can run 1 km in 3 min. 10 sec. and B cover the same distance in 3 min. 20 sec. By what distance can A beat B?

  

  

  

  

Rajeev buys goods worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

  

  

  

  

If 8% of x = 4% of y, then 20% of x is :

  

  

  

  

(21 .35)2 +(12.25)2 =?

  

  

  

  

  

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:

  

  

  

  

A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?

  

  

  

  

How many total numbers of not more than 20 digits that can be formed by using the digits 0 ,1 ,2 ,3 , and 4 is

  

  

  

  

  

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

  

  

  

  

The sum of the radius of the base and height of a solid cylinder is 40m. If the total surface area of the cylinder is 1760 m2 its volume is:

  

  

  

  

A shopkeeper sold sarees at Rs. 266 each after giving 5% discount on labeled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?

  

  

  

  

  

The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

  

  

  

  

What is the average percentage of marks obtained by all the students in Subject ‘A’?

  

  

  

  

  

A shopkeeper sold a T.V. set for Rs.17,940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered?

  

  

  

  

  

What, according to the treasury secretary, was the only way out of the exchange problem?

  

  

  

  

A man bought some oranges at Rs. 10 per dozen and bought the same number of oranges at Rs. 8 per dozen. He sold these oranges at Rs. 11 per dozen and gained Rs. 120. The total number oranges bought by him was:

  

  

  

  

Given that 268*74 =19832, find the values of 2.68 * 0.74.

  

  

  

  

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

  

  

  

  

A rectangle has width a and length b. If the width is decreased by 20% and the length is increases by 10%, then what is the area of the new rectangle in percentage compared to ’ab’ ?

  

  

  

  

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?

  

  

  

  

A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is

  

  

  

  

45% of816 - 23% of? = 240.7  

  

  

  

  

  

If log 2=0.30103, the number of digits in 450 is

  

  

  

  

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

  

  

  

  

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D. What is B’s share?

  

  

  

  

The average age of three boys  is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is

  

  

  

  

  

If l + m + n=0, which of the following conditions must l, m and n satisfy so that the system of simultaneous linear equations x + 3y -4z = l, 2x - y - z = m, x + y - 2z = n has at least one ?

  

  

  

  

  

Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs. 320, what percentage of profit would he have made if he had sold the transistor at the marked price?

  

  

  

  

  

Three men, four women and six children can complete a work in seven days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?

  

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

  

The difference between a discount of 50 % on Rs. 500 and two successive discounts of 45 % and 5% on the same amount is

  

  

  

  

A general wishes to draw up his 36581 soldiers in the form of a solid square. After arranging them, he found that some of them are left over. How many are left?

  

  

  

  

What is the slope of the line given by the equation 3p – 5 = 5 – 2k?

  

  

  

  

  

On simplification, 3034 – (1002 ÷20.04) is equal to:

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

(0.04)? x (0.2)? ÷ (0.008)^2 =(0.2)?  

  

  

  

  

  

The sum of the number of boys and girls in a school is 150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is:

  

  

  

  

A man can row at 5km ph in still water .if the velocity of current  is 1 km ph and it  Takes him 1   hours  to row to a place and come back ,how far is the place?

  

  

  

  

61 72 ? 73 59 74 58

  

  

  

  

  

If one root of ax2 + bx + c = 0 is double the other, then a, b, c are related as

  

  

  

  

What would be the compound interest obtained on an amount of rs 8,800/- at the rate of 16 p.c.p.a. after 2 years?

  

  

  

  

  

Find tan 9 − tan 27 − tan 63 + tan 81 ( all angles in degrees)

  

  

  

  

  

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

  

  

  

  

How many spherical bullets can be made out of lead cylindrical 15 cm high and with base radius 3 cm, each bullet being 5 mm in diameter

  

  

  

  

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

  

  

  

  

A monkey ascends a greased pole 12 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top?

  

  

  

  

  

The value of log(-1/3) 81 is equal to

  

  

  

  

Rajani has to read a book of 445 pages. She has already read the first 157 pages of the book and if she reads 24 pages of the book everday then how long will she take now to complete the book ?

  

  

  

  

  

Which of the following fractions is less than 7/8 and greater than 1/3?

  

  

  

  

The present ages of Chetna and Shikha are in the ratio of 5 :7 respectively. After 7 years, their ages will be in the ratio of 11:14 respectively. What is the difference between their ages?

  

  

  

  

  

What is the minimum value of x for which the expression x3 – 7x2 + 11x – 5 gives positive values

  

  

  

  

√00004761 equals

  

  

  

  

I buy a 20% stock of face value 50/- at 45/- and sell it at 55/-. A year later, what is my yield

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

A father with 8 children takes 3 children at a time to the zoological garden, as often as he can without taking the same 3 children together more than once. Then:

  

  

  

  

The values of the numbers 22004 and 52004 are written one after another. How many digits are there in all

  

  

  

  

 If g = log, (ax) then pz =

  

  

  

  

  

A number when decreased by 14% of it, gives 215. What is the number?

  

  

  

  

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining works?

  

  

  

  

  

In which category was the percentage of spam emails increasing but at a decreasing rate?

  

  

  

  

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

  

  

  

  

For prime numbers p and q, p + q = 102 and p > q. What is the least possible value of p − q?

  

  

  

  

  

If log 2=0.30103, the number of digits in 246 is

  

  

  

  

19% of 421+? =150

  

  

  

  

  

If 18 binders bind 900 books in 10 days, how many  binders will be required to bind 660 books in 12 days?

  

  

  

  

750.46 + 114.09-84004 =? -13.09  

  

  

  

  

  

20 litres of a mixture contains milk and water in the ratio 5 : 3. If 4 litres of this mixture be replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be:

  

  

  

  

If 5+2√3/7+√3=a+b√3,then :

  

  

  

  

125% of 605 +(4/5) of 218 =?

  

  

  

  

  

If A = x% of y and B = y% of x, then which of the following is true?

  

  

  

  

  

Two train 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same direction

  

  

  

  

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.

  

  

  

  

The banker’s discount on a sum of money for 1(1/2) years is Rs. 558 and the true discount on the same sum for 2 yers is Rs. 600. The rate percent is

  

  

  

  

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

  

  

  

  

The strength of a class is 36 of whom 33.3% are graduates and others are non-graduates. There are girls of whom 70% are non graduates. How many male graduates are there in the class.

  

  

  

  

5% of (25% of Rs1600) is

  

  

  

  

39815 + 42305 = 122678-?

  

  

  

  

  

If o = 4/3 and h = 6 then h/o + 4/o2 =

  

  

  

  

  

180% of 25501 + 50% of 28999 = ?

  

  

  

  

  

A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:

  

  

  

  

The ratio of Gomathi’s and Rashmi’s ages is 3:5 respectively. After ten years this ratio will become 2:3. What is Rashmi’s age in years?

  

  

  

  

  

If he is able to sell only 1200 out of the 1500 watches he has made in the season, then in the season he has made a profit of:

  

  

  

  

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 1001 + 11 of 13 is:

  

  

  

  

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:

  

  

  

  

If √2n = 64, then the value of n is:

  

  

  

  

 (3² * 4² * 5) ÷ 36 = (?)²-80  

  

  

  

  

  

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