If x, y, z are three positive numbers such that (A - x): (A - y): (A - z) = 1: 7: 4 and 2A = x+y+z, then x:y:z=
Sign in
Please select an account to continue using cracku.in
↓ →
If x, y, z are three positive numbers such that (A - x): (A - y): (A - z) = 1: 7: 4 and 2A = x+y+z, then x:y:z=
Let say,
$$A-x=k\ ,\ A-y=7k\ and\ A-z=4k.$$
So,$$2A=2\left(k+x\right)\ ,\ 2A=2\left(7k+y\right)\ and\ 2A=2\left(4k+z\right).$$
So,$$x+y+z=2k+2x\ ,\ x+y+z=14k+2y\ and\ \ x+y+z=8k+2z.$$.........................................(1)
or,$$3\left(x+y+z\right)=2\left(x+y+z\right)+2k+14k+8k.\ \ \left(by\ adding\ these\ 3\ equations\right)$$
or,$$x+y+z=24k.$$
put this value in (1) :
$$2x=22k\ or\ x=11k.$$
$$2y=10k\ or\ y=5k.$$
and $$2z=16k\ or\ z=8k.$$
So,$$x:y:z=11:5:8.$$
C is correct choice.
If x ≠ y ≠ z ≠ 0 , $$a^x = b^y = c^z$$ and $$\frac{a}{b} = \frac{b}{c}$$, then $$\frac{y - x}{z - y}$$ =
Loading solution...
Two different discounts x% and y% are allowed on two items having same cost price and marked price. If $$P_1$$% and $$P_2$$% are respectively the profits on them, x - y =20 and $$P_2 - P_1$$ = 32, then the ratio of their cost price to their marked price is
Loading solution...
If 0 < a < b then, for all x > 0, $$\frac{a + x}{b + x}$$ >
Loading solution...
Four students A, B, C and D are running around a circular playground in a college and they take 1. 5 min, 25min, 35min and 20min respectively to complete one round. If a prize money of Rs. K is divided in the ratio of their speeds, then the student who receives_maximum share is
Loading solution...
The ratio among the following that will have maximum change in its value when 10 is added to both the antecedent and consequent of that ratio, is
Loading solution...
Distinct number of men, women and children have visited a park in a particular day. The number ofwomen visitors is 7 and the number of children who visited the park is maximum among all the visitors. If the ratio between the number of men and women is the same as the ratio between the number of women and children, then the total number of visitors to the park is
Loading solution...
If a person covers the same distance by walking, by cycling and by running with speeds in the ratio 1: 9: 3 respectively, then the ratio of the ratios of their times and speeds of the three modes of travel is
Loading solution...
If the sum of the ratios equivalent to $$16\frac{2}{3}$$%, $$33\frac{1}{3}$$%, 5% and 25% is x% of 15, then x =
Loading solution...
A student is asked to multiply a number K by 5. But he multiplies K by $$\frac{1}{5}$$ and gets x% error. Next time he multiplies K by $$\frac{1}{25}$$ and gets y% error. Then the percentage increase of y over x is
Loading solution...
If there is an increase of 25% and 4% successively in the sales of a car of brand X in two consecutive years, then the net increase in the sales after two years, is
Loading solution...
A variable x is proportional to y. If 3 values $$x_1, x_2, x_3$$ of x are in the ratio 2:3:4 such that $$x_1 + x_2 + x_3$$ = 9 and $$x_1y_1+x_2y_2+x_3y_3$$ = 29 then the ratio of the increase percentages of $$x_1y_1$$, $$x_2y_2$$, $$x_3y_3$$ over $$x_1,x_2,x_3 $$respectively is
Loading solution...
A fruit vendor has certain oranges with him. He sells each orange for Rs.5. Three customers A, B, C successively bought 25%, $$33\frac{1}{3}$$, 50% of the oranges that are left over with the vendor each time. Later a fourth customer D bought 4 oranges. If A and D together paid Rs.140/- to the vendor, then the percentage of oranges left with the vendor is
Loading solution...
A, B, C and D are four students in a class. A's total score is 20% less than B's total score, C's total score is 25% more than A's total score, D's total score is 20% more than A's total score. If the least total score among the scores is 240, then the ratio of the scores of the four students in the decreasing order is
Loading solution...
A merchant is selling goods by importing from abroad. He gets a discount of $$33\frac{1}{3}$$% on 3 the catalogue price, pays 20% import duty on the net cost of the goods and sells the goods for a profit of 25%. If the catalogue price of an article is Rs. 3,756, then its selling price (in Rs.) is
Loading solution...
A dishonest dealer claims to sell his goods for the cost price. If he uses 20% less weight in weighing the goods, his gain % is:
Loading solution...
If a person sold his watch for Rs.24 with a profit percentage numerically equal to its cost price, then the cost price of the watch is Rs.
Loading solution...
A shopkeeper offers successive discounts of 20% and 25% on the marked price of an article and gets a profit of 20%. If he wants to make 40% profit, the percentage by which the marked price is to be increased is
Loading solution...
A shopkeeper sells two types of articles A and B for the same price at Rs. 150/-. The cost prices of them are respectively Rs. 120/- and Rs. 200/-. On the first day he sells only one item of A and increases this number by 6 units each day. He sells 50 units of 13 on first day and decreases this number each day by 2 units. The number of days the shopkeeper incurs a net loss continuously is
Loading solution...
The following table shows the different number of items a shopkeeper sold with different cost prices and different selling prices. Use this information to match the items of List A with the items of List B.


The correct match for i, ii, iii is
Loading solution...
The average score of 3 students A, B and C is 72. When D joins them the average score of all the four becomes 70. If another student E, whose score is 4 more than that of D replaces A then the average score of B, C, D and E becomes 68. Then the score of A
Loading solution...
The first quality of juice costs Rs.15 per litre and the second quality of juice costs Rs.10 per litre. If the mixture of these two qualities is sold at the rate of Rs.14 per litre, then the ratio in which these two qualities of juices are to be mixed in order to get a profit of 20% is
Loading solution...
The average of all the numbers which are the first ten multiples of each of the first ten natural numbers is
Loading solution...
The ratio of copper to zinc in an alloy 'A' of 7kgs is 5:2. The ratio of the same metals in that order in another alloy 'B' of 7kgs is 3:4. If 28kg of alloy is made by mixing A and B in quantities x & y respectively so as to have the ratio of copper and zink in the ratio 1:1, then x : y is
Loading solution...
A milk vendor generally sells 3 Grades of milk. Grade I is pure milk with no water mixed in it, Grade II is a mixture of milk and water in the ratio 3:2 and Grade III is a mixture of milk and water in the ratio 2:3. On a particular day he has x liters of Grade I and 3 liters of Grade III milk and he got an order to supply 7 liters of Grade II milk. The minimum value ofx (in litres) required to prepare 7 Its of Grade H milk by mixing Grade I milk, Grade III milk and water, is
Loading solution...
A business man buys two qualities A and B of a product at Rs. 120 per kg and Rs. 60 per kg respectively. He then mixes these two qualities and sells at Rs. 100 per kg. Then the percentage increase in the profit on a certain quantity of the mixture of A and B in the ratio 7:11 on the profit on the same quantity of the mixture of A and B in the ratio 1:1, is
Loading solution...
A jar contains a mixture of 2 liquids A and B in the ratio 4:1. If 10 liters of mixture is taken out and 10 liters of liquid B is poured into the jar, the ratio becomes 2:3. The amount of liquid A contained in the jar initially is
Loading solution...
The amount of water to be mixed with 32 liters of pure fruit juice so as to get 25% profit on selling the mixture at the cost price of the pure juice, (in liters) is
Loading solution...
A vessel of capacity V liters can be filled by two taps A and B independently in $$\frac{1}{4}$$ hr and $$\frac{1}{6}$$ hr respectively. A tap C empties the full tank at the rate of 7 liters per min. If all the 3 taps are opened simultaneously, the full vessel is emptied in 120 min. Then V =
Loading solution...
A pipe can fill an empty cistern with water in 5 hours. Due to leakage in its bottom, it takes 6 hours to fill the cistern. When the cistern is full, the time (in hours) in which it is emptied due to leakage is
Loading solution...
Three pipes A, B, C have flow rates of 2 liters, y liters and 3 liters per minute, (2 < y < 3) respectively. The lowest and the highest flow rates of the pipes are decreased by a constant quantity x. If the reciprocals of the flow rates of A, B, C are in arithmetic progression both before and after the change, then x =
Loading solution...
A swimming pool is fitted with 3 pipes A, B, C to fill the pool. A and B together can fill the pool in half the time that is required for C to fill the pool. B takes 20 hours more than the time required for A and 14 hours more than the time required for C to fill the pool. Then the time (in hours) required for all the 3 pipes together to fill the pool is
Loading solution...
Mohan is thrice as efficient as Srinu and completes a work in 40 hours less than the time taken by Srinu. If both of them work together, the time (in hours) required to complete that work is
Loading solution...
Two children A and B are playing a game. A can draw a picture in,30 minutes and B can erase it in 40 minutes. If A starts drawing, and if the drawing sheet is passed on to these two alternately for every one minute, then the time (in minutes) required to complete a picture for the first time is
Loading solution...
18 men and 12 women can complete a work in 18 days. A women takes twice as much time as a man to complete that work. Then the number of days required for 8 men to complete the same work is
Loading solution...
A boy, a man and a woman can do a work independently in 72, 12 and 48 days respectively. The number of women required to assist 6 boys and a man to complete that work in 2 days is
Loading solution...
64 men working 8 hours a day plan to complete a piece of work in 9 days. After 5 days, they were able to complete only 40% of the work. The number of hours they should work per day so as to complete the remaining work in 4 more days is
Loading solution...
Two friends A and B working together can complete a piece of work in 16 days. A alone can do the same work in 32 days. If A and B work on alternate days, starting with B, the time (days) in which the work can be completed is
Loading solution...
The LCM of 96,144 and N is 576. If their HCF is 48, then a possible value of N is
Loading solution...
The number of zeros at the end of the product $$1003 \times 1001 \times 999 \times...\times123$$ is
Loading solution...
If A = $$2^{352} 5^{411} 3^{152}$$ ; B = $$2^{352} 5^{410} 3^{153}$$ ; C = $$2^{350} 5^{412} 3^{149}$$, and D = $$2^{353} 5^{409} 3^{150}$$ then the descending order of A, B, C, D is
Loading solution...
The smallest 5 digit number which when divided by 7,11 and 21 leaves the remainder 3 in each case is
Loading solution...
If 937x8y7 is exactly divisible by 11, then the maximum value of x + y is:
Loading solution...
If the number obtained after subtracting x from 2035 leaves the same remainder 5 when it is divided by 9,10 and 15, then the smallest possible x is
Loading solution...
$$ 1.\overline{27} + 0.\overline{94} $$
Loading solution...
Let A = {(a, b, c)/ $$c^2$$ = $$a^2 + b^2$$ }. If (3, 5, x), (y, 3, 7), (1, z, 5) are three elements of the set 'A' and the LCM of $$x^2, y^2, z^2$$ is $$p_1^{\alpha_1} p_2^{\alpha_2} p_3^{\alpha_3} p_4^{\alpha_4}$$ where $$p_1, p_2, p_3, p_4$$ are primes, then $$\frac{p_1 + p_2 + p_3 + p_4}{\alpha_1 + \alpha_2 + \alpha_3 + \alpha_4}$$ =
Loading solution...
If the number of numbers between 100 and 1000 that are divisible by 11 is x, then the number of total divisors of x is
Loading solution...
Match the items of the following lists.
| List - A | List - B |
| a) a, b are prime numbers | i) LCM of $$a, b \leq ab$$ |
| b) a, b are composite numbers | ii) Conjugate surds |
| c) $$ 1.34 \overline{54}$$ | iii) Irrational numbers |
| d) $$(\sqrt[3]{2} + 3\sqrt{5})(\sqrt[3]{2} - 3\sqrt{5})$$ | iv) Rational numbers |
| v) Co-prime numbers |
Correct answer for a, b, c, d is
Loading solution...
Let $$p_1, p_2, p_3$$ be prime numbers and $$\alpha, \beta, \gamma$$ be positive integers. If $$p_1^\alpha p_2^\beta p_3^\gamma$$ is a divisor of 34864764 lying between 100 and 200, then ($$p_1 + p_2 + p_3$$)($$\alpha + \beta + \gamma$$) =
Loading solution...
If x = $$\frac{1}{2 + \frac{1}{2 +\frac{1}{2 + .....\infty} }}$$ then x =
Loading solution...
The value of $$\frac{1}{1^2.3^2} + \frac{2}{3^2.5^2} + \frac{3}{5^2.7^2} + \frac{4}{7^2.9^2} + ...... + \frac{15}{29^2.31^2}$$ is
Loading solution...
If $$x = \frac{3 + \sqrt{6}}{5\sqrt{3} - 2\sqrt{12} - \sqrt{32} + \sqrt{50}}$$, then $$\frac{x^4 - 1}{x^4 + 1}$$ =
Loading solution...
Each mango costs Rs.5 and each orange costs Rs.7. If a person spends Rs.38 on these two varieties of fruits, then the sum of the number of mangos and oranges purchased by that person is
Loading solution...
If $$x = \frac{1}{\sqrt{13} - 3}, y = \frac{1}{\sqrt{7} - \sqrt{3}}, z = \frac{1}{\sqrt{2}(\sqrt{3} - 1)}$$, then
Loading solution...
The smallest of the differences between the perfect sqares lying on either side of the least positive integer that is divisible by 3, 4, 5, 6, 8 is
Loading solution...
If $$x = \sqrt{2} + \sqrt[3]{5}$$ and $$y$$ is such that $$xy$$ is rational, then a value of $$y$$ is
Loading solution...
If the mean proportional of $$b, c$$ and the $$4^{th}$$ proportional of $$a, b, c$$ are both equal to 8, then $$abc$$ =
Loading solution...
The greatest number that exactly divides 513, 1134 and 1215 is
Loading solution...
If $$x = 1 + \frac{1}{2^2} + \frac{1}{2^3} + ....\infty$$ and $$y = x + \frac{1}{2} + \frac{x}{9} + \frac{1}{18} + \frac{x}{81} + \frac{1}{162} + ....\infty$$, then
Loading solution...
The number of ordered pairs (x,y) of positive integers satisfying the inequality 5x + 3y $$\leq$$ 15 is
Loading solution...
In a class, the number of boys who can swim is one more than the number of girls who can swim. The number of girls who cannot swim is one more than the number of boys that cannot swim. The difference between number of boys who can swim and number of girls who cannot swim is two. Then which of the following is true?
Loading solution...
A book costs Rs.35 and a pen costs Rs.20. A person has purchased less number of books than the number of pens by spending maximum amount out of Rs. 350, that he has. The amount left unspent (in rupees) is
Loading solution...
Which one of the following point does not lie in the region bounded by x + y < 5, 2x - 4y >1 and x < y is
Loading solution...
If A gives Rs.30 to B, then B will have twice the money left with A. If B gives Rs.10 to A, then A will have thrice as much money as is left with B. Then the amount A has initially (in rupees) is
Loading solution...
The number of leap years in between the years 2018 and 2126 is
Loading solution...
If $$15^{th}$$ January was Monday in the year 1952, then the last day of that year was
Loading solution...
Which one of the following is not true?
Loading solution...
In 12 hours, how many times the hours and minutes hands of a clock will coincide with- each other?
Loading solution...
At what time between 3 O'clock and 4 O'clock will the hands of a clock lie on a straight line but do not coincide?
Loading solution...
A clock is set right at 8AM on 1.1.2018. The clock gains 15min in 24hours. The time on the clock when the actual time is 10 AM on 4.1.2018, is (nearly)
Loading solution...
A well of 4m diameter and 35m deep is dugout and the excavated soil is transported in a rectangular parallelopiped shaped truck with dimensions $$5m\times2m\times0.5m$$. To avoid over during transportation only 80% of its capacity is filled. If the loose soil occupies 20% more space while filling into the truck, then the number of trips required to transport the soil completely away from the place of digging is
Loading solution...
If the volumes of a sphere and a cube are in the ratio $$9\pi$$ : 2, then the ratio of the radius of the sphere to the edge of the cube is
Loading solution...
The dimensions of a rectangular plot is $$40m\times20m$$. A path is formed across the plot along the length and breadth with a uniform width of 2 meters. If the cot of forming, the path is Rs. 500 per sq.meter, the cost of laying that path (in Rs.) is
Loading solution...
A person packs sweets boxes of dimensions $$15cm\times15cm\times15cm$$ in a basket of size $$120cm\times120cm\times120cm$$. If he now wants to carry the maximum number of cubical boxes having the maximum integer dimensions but less than the dimensions of the earlier boxes without leaving any space unused, the number of such boxes he can carry is
Loading solution...
From a circle of radius 12cm centered at O, a sector OAB of are length $$8\pi$$ cm is cut and from it a cone is formed by joining OA and OB. If the volume of the cone is V cubic cm and its lateral surface area is S square cm, then V:S =
Loading solution...
A solid sphere of radius $$r$$ is melted and with that material a solid cone and twenty two identical solid cubes were made. If the height of cone and edge of each cube are each equal 9 to half the radius of the sphere, then the ratio of the radius of the cone to its height is
Loading solution...
What is the area (in sq. cms) of the shaded portion of the following diagram in which each side of the triangle is 14 cms and its vertices being the centres of three mutually touching circles?

Loading solution...
Let $$\triangle$$ be the area of the circumcircle of a right angled triangle ABC with $$\angle B$$ = 90°. Let $$\triangle_1 and \triangle_2$$ be areas of the two circle with diameters BC and BA respectively. Then
Loading solution...
From each of the corners of a rectangular sheet of dimensions $$36cm\times24cm$$, a small square of dimensions $$4cm\times4cm$$ is removed. If the edges on the four sides are folded and a box is formed then the volume of the box so formed (in cm3)
Loading solution...
In a square of side 8 cm, 5 identical circles are placed as shown in the figure. Then the radius (in cms) of each of the circle is

Loading solution...
Two identical circles intersect such that their centers and their points of intersection, form a square of side 4cm. Then the area (in sq.cms) of the portion that is common to the two circles is
Loading solution...
The number of Positive integers x such that 2018, 1998 and x are the sides of a triangle is
Loading solution...
An equilateral triangular plate is completely cut into n number of identical small equilateral triangular plates. Which one of the following can be a possible value for n
Loading solution...
The maximum of the distance between any two points of a unit cube is, in proper units
Loading solution...
A train started at 9AM from a station A with a speed of 72 km/hr. Another train after tvvo hours started from the station B towards A with a speed of 90 km/ph. The two trains are expected to cross each other at 1.30 PM. At 12 noon because of the signals both the trains reduced their speeds by the same quantity and they crossed each other at 4.30 PM. The speed of the train, after 12 noon, that started from the station A, is
Loading solution...
A left his house for school t min late from normal time and travelled with $$\frac{4}{3}$$ of his usual speed and reached the school in t minutes early. Next day he left home, t minutes early than the previous day and travelled with $$\frac{8}{11}$$ of his usual speed. He reached his school in
Loading solution...
Two points A and B lie along a line at a distance of 120km apart. P and Q start at the same time from A and B with speeds 40km/h and 60km/h respectively. They travel towards each other and after their meeting for the first time, they then go in reverse directions and also interchange their speeds. These speeds are continued in their further journey. After reaching their respective starting points, they reverse their directions of travel and proceed towards each other again. The time taken by them to meet each other 2nd time is
Loading solution...
A person rows a distance of 12 kms in down stream and returns to the starting point. The difference between the times taken to travel in down stream and that of upstream is 6 hours. If he doubles his speed throughout the above trip, then the difference between the times taken to cover in down stream and upstream is 1 hour. Then the speed of the current in km per hour is
Loading solution...
Certain amount is divided into 3 parts such that those parts yields the equal interest after 1, 2 and 3 years respectively at 4% simple interest per annum. Then the ratio between the three parts respectively is
Loading solution...
A man borrows Rs. 5000 at the rate of 10% compound interest per annurn• At the end of each year he pays back Rs. 1500 for the first 2 years. The am ount he should pay at the end of 3rd year to clear the loan (in Rs.) is
Loading solution...
The equal annual installment which clears the debt of Rs.7620 due in 3 years at $$16\frac{2}{3}$$% per annum compounded is (in Rs.)
Loading solution...
A tree is growing in height at the rate of 10% per annum. The present height of the tree is 1815 cm. The height of the tree 3 years back was (approximately) in cms
Loading solution...
Two partners invested Rs.1,25,000 and Rs.85,000 respectively in a business. They agreed to share 60% of the profit equally and the remaining profit as interest on their respective capitals. If one partner gets Rs.300 more than the other partner, the profit on the business is (in Rs)
Loading solution...
Let A and B enter into a partnership with capitals in the ratio 5:6 and at the end of 8 months A withdrew from the business. If they shared the profits in the ratio 5:9, the number of months B's capital remained in the business is
Loading solution...
A, B and C enter into a partnership by pooling the capital. A advances one-third of the capital for one third of the time. B advances half of the capital for half of the time. C advances the remaining part of the capital for whole the period. The ratio in which they divide the profit obtained in the business is
Loading solution...
A, B, C started a business by investing Rs.6500, Rs.8400 and 10,000 respectively. As working partner A takes 5% of the profit as his salary. A withdraws his capital after 6 months, B after 5 months and C after 3 months from the begining. If the profit earned was Rs.7400, then the total amount received by A is (in Rs.)
Loading solution...
If the difference between the simple interest and compound interest for two years on a certain sum at the rate of 10% per annum when compounded half yearly is Rs. 124.05 then the sum is (in Rs.)
Loading solution...
If an amount doubles in 5 years at compound interest, then the number of years required to make it eight times at the same rate of compound interest is
Loading solution...
A person invested his money in the three schemes P, Q and R. The am_ ount invested it scheme R was 150% of the amount invested in a scheme P and 240% of the amount invest; in scheme Q. The rate of interest he gets from schemes P, Q and R are respectively ioZ 12% and 15% per annum. If the total interest accumulated is Rs.3200 for an year, investment in scheme Q is (in Rs.)
Loading solution...
A person invest certain amounts in two banks in such a way that the simple interest fro one bank at 10% per annum for 5 years is equal to that from another bank at 9% per annul/ for 6 years, then the ratio between the two amounts
Loading solution...
Read the following graph and answer the questions below
The diagram below shows the enrolment of students in a school in different years, from 2014 to 2017.

The total number of students enrolled in the years 2014, 2016, 2017 put together is
Loading solution...
The percentage increase in the enrolment of students in the year 2017 over the year 2016.
Loading solution...
The ratio of enrolment of students in the year 2015 to that in the years 2014 and 2016 together is
Loading solution...
The percentage increase in the enrolment of students during the given period is
Loading solution...
The average of the number of students admitted per year during the given period is
Loading solution...
Read the following Table and answer the questions below
The following table shows the sales of cars of different models by a company during the years 2013 to 2017.

In the year 2016, what is the approximate percentage of sales of cars of type 'C' in the total
number of cars sold in that year?
Loading solution...
During the given period, the car model that has registered highest growth percent in sales is
Loading solution...
The year in which cars of model 'D' registered highest growth percent in the sales, over the previous year is
Loading solution...
The year in which the company registered highest growth percent in the total sales of cars, over its previous year is
Loading solution...
The approximate percentage increase in the sales of Cars of models A and D put together in the year 2016 over the year 2013 is
Loading solution...
Fill in the blanks with suitable positive integer in each of the questions.

Loading solution...

Loading solution...

Loading solution...

Loading solution...
Digits 1 to 6 are marked one each on the faces of a die. 3 different positions of a die are 3 given below. The combination of digits on the faces opposite to each other are.

Loading solution...
All the faces of a cuboid arc painted. It is cut by planes parallel to its faces to form unit cubes. If the number of cubes having all unpainted faces is 1001, then the dimensions of , the cuboid are
Loading solution...
The minimum number of different colours required to paint the surfaces of a cuboid so that no two adjacent faces are painted with same colour, is
Loading solution...
In the following figure, each cell marked with a symbol is a face of a cube. If the surfaces are folded to form a cube, then the faces that are adjacent to the face labelled $$\theta$$ are

Loading solution...
Read the following information and answer the quetions below.
The principal of a college scheduled the following week, starting from Monday to Sunday.
i) Management skills six lecture
ii) Decision making
iii) Motivation
iv) Soft skills
v) Faculty development
vi) Quality circles
It is decided to organise the lecture on Motivation immediatly after Faculty development. The lecture on Quality circles is to be scheduled on Wednesday and it should be followed by Soft skills. The lecture on Decision making should be organised on Friday. The lecture on Management skills and the lecture on Soft skills are to be scheduled with a gap of two days M which no lecture is to be scheduled on one day (Saturday is not that day) just after the lecture day on Soft skills.
On which day, no lecture is arranged in a week?
Loading solution...
How many lectures were organised between Quality circles and Motivation?
Loading solution...
The lecture on Management skills is to be organised on
Loading solution...
The second figure in the first pair of problem figures bears a certain relationship to the first figure. Similarly, one of the figures in the answer figures bears the same relationship to the first figure, in the second pair of the problem figures. You have to locate the figure which would fit into the blank space and give it as your answer.

Loading solution...
Select the related figure from the answer figures that fits with the blank space of the following analogy, and give it as your answer.

Loading solution...
Based on following sequence of numbers, letters and symbols, answer the questions
$$\alpha$$ * S A 3 $$\beta$$ 7 C 5 @ L $ P 4 $$\uparrow$$ Q M 2 L B & 4 9 D E I X Y # 6
The number of letters of English alphabet that are immediately followed by a number or immediately peceeded by a symbol is
Loading solution...
The number of symbols either preceeded or followed by a number is
Loading solution...
If all symbols are removed from the above sequence then tha entry in 9th position from right is
Loading solution...
The difference between the number of letters of English alphabet and the numbr of numerals in the sequence is
Loading solution...
The 14th element to the left of the 6th element lying to the right of 'B' is
Loading solution...
A sequence of numbers or alphabets following a specific pattern is given. Fill in the blanks with suitable entry from the options that follows the same pattern.
10, 30, 68, 130, ..........
Loading solution...
3, 14, 39, 84, ..............
Loading solution...
$$1\frac{1}{7}, 3\frac{6}{7}, 9\frac{1}{7}, 17\frac{6}{7}, ...........$$
Loading solution...
14, 78, 252, 620, .......
Loading solution...
1, 4, 10, 20, .........
Loading solution...
ABC, BDF, CFI, DHL, .......
Loading solution...
B, C, E, G, .......
Loading solution...
AZ, CW, FR, JK, .......
Loading solution...
BCE, CEG, EGK, GKM, ..........
Loading solution...
A, D, I, P, .........
Loading solution...
Select the suitable entry from the given options that fills the blank in the following analogies.
AFHE: IKMO:: ...... :UDFA
Loading solution...
3265 : 4376 :: 4673 : ......
Loading solution...
IMPLICATE : INCRIMINATION :: EXONERATE : ........
Loading solution...
216 : 625 :: ....... : 4096
Loading solution...
LIGHT : CANDLE :: ....... : .......
Loading solution...
In each of the questions, a question is followed by two statements I and II. Give your answer
Who is the youngest among A, B, C?
I. The difference between the ages of A and B is 3 years.
II. A is 4 years younger to C.
Loading solution...
If numbers x, y, z are all less than 40, how many of them are positive?
I. x + y = 46
II. x + y + z = 80
Loading solution...
What is the value of ab?
I. a + b = 9
II. | a - b | = 5
Loading solution...
What is the volume of the cone?
I. The base radius of the cone is numerically equal to the perimeter of the square ABCD.
II. Length of the side of the square is 4 cm.
Loading solution...
What is the angle of the sector at the centre of a circle?
I. The perimeter of the sector is 16 cm
II. Arc length of that sector is 10 cm
Loading solution...
Is the perimeter of the rectangular plot more than 65 cms?
I. Its length is less than 16 cm
II. Its breadth is more than 10 cm
Loading solution...
Is the slope of the straight line equal to $$\frac{3}{5}$$ ?
I. The straight line is passing through the point (3,5)
II. The straight line perpendicular to 5x - 3y + 4 = 0
Loading solution...
What is the sum of the first 21 terms of the AP?
I. The common difference of the A.P. is 3
II. The $$11^{th}$$ term of the A.P. is 31.
Loading solution...
Is 10, a factor of n + 5 ?
I. n is odd and divisible by 9
II. n is even and divisible by 5
Loading solution...
Is the positive integer m odd?
I. $$m^2 + 2m$$ is even
II. $$m^2 + m$$ is even
Loading solution...
What is the value of $$\cos \theta$$?
I. $$\sec \theta + \tan \theta$$ = 5
II. $$1 + \sin \theta = \frac{25}{13}$$
Loading solution...
If the A.M. of 4, 20, 40, x is m, then what is the value of m?
I. $$\frac{m}{x} - 5$$ = 8
II. x is less than m
Loading solution...
What is the volume of the sphere?
I. The surface area of the sphere is equal to area of the circle with radius 5 cm.
II. The radius of the sphere is equal to the perimeter of a square.
Loading solution...
What is the range of y?
I. $$13 \leq x + y \leq 19$$
II. $$4 \geq x - y \geq -5$$
Loading solution...
What is the rate of compound imterest?
I. Principal is Rs. 1200
II. Amount is Rs. 1323
Loading solution...
For the Assertion (A) and Reason (R) the correct alternative from the following
(A) : The sum 1 + 3 + 5 + .... + 21 = 100
(R) : The sum of first $$n$$ odd positive integers is $$n^2$$
Loading solution...
(A) : If the perimeter of a rectangle is 12 meters, then its maximum area is 9 $$m^2$$.
(R) : Geometric mean of two positive numbers is less than or equal to their Arithmetic mean
Loading solution...
(A): If D, E and F respectively represent orthocentre, centroid and circumcentre of a triangle $$\triangle ABC$$, then Area of $$\triangle DEF = \frac{1}{4}$$ (Area of $$\triangle ABC$$)
(R) : In any triangle, orthocentre, centroid and circumcentre are collinear:
Loading solution...
(A) : The sum of all internal angles in a pentagon is 540°
(R) : A pentagon has 5 sides
Loading solution...
(A): The area of an equilateral triangle of side 5 cm is $$\frac{25}{4}\sqrt{3} cm^2$$
(R): Sum of the angles in the triangle is 180°
Loading solution...
(A): $$1^2 + 2^2 + 3^2 + ...... +49^2$$ = 40425
(R): Sum of the squares of the first n natural numbers is $$\frac{n(n + 1)(n + 2)}{6}$$
Loading solution...
Identify the odd thing from the following options.
Loading solution...
Loading solution...
Loading solution...
Loading solution...
Loading solution...
Loading solution...
Loading solution...
Choose the option containing the odd pair.
Loading solution...
Loading solution...
Loading solution...
Mr. X starts from his office and goes 5 km towards East, then he turns left and moves 4 km again turning left and reaches his home after walking 8 km. Then the shortest distance between his home and office, is (in kilometers)
Loading solution...
When the time is 1.15 P.m the minutes hand in the clock points towards North, then at 830 a.m. on the next day,the direction of minutes hand shows is :
Loading solution...
A is to the north of B, C is to the east of B, then the direction of A with respect to C is
Loading solution...
Based on the information below answer the questions.
In a certain code, the 26 letters of english alphabets are written around a circle in the same order and each consonant is coded as the 4th consonant after it and each vowel is coded as the 3rd vowel after it.
The code for the word 'PRINCE' is
Loading solution...
The word which is coded as KISJ is
Loading solution...
The letter 'X' is coded as
Loading solution...
The letter that is coded as 'L' is
Loading solution...
The word BOND is coded as
Loading solution...
If the word LINE is coded as QMQG then, in the same code, the word FORT is coded as
Loading solution...
If the word BRING is coded as 50 and STATE is coded as 65 then in the same code, the word SWORD is coded as
Loading solution...
In a certain code the word 'PRINCE' • coded as QQ JM DD. Then in the same code,CHARIT is coded as
Loading solution...
In a certain code, the word NESTUM is coded as 123456 and the word PARIS is coded as 78903, then in the same code, the code for the word TAMPER is
Loading solution...
In a certain code, the word MISTER is coded as SIYTKR, then the word NORMAL is coded as
Loading solution...
P is mother of V; V is sister of B. A is son of B. D is brother of A. S is mother of D. G is grand daughter of P. T has only two children V and B. Which one of the following is true?
Loading solution...
In a family D is the wife of C and daughter of F and D is also the daughter-in-law of A. G is the mother of C. A is the paternal grand son of E. Then how A is related to G
Loading solution...
Read the following information answer the questions below.
The following are the conditions for the selection of a manager post in an organisation.
i) The candidate must be a graduate with at least 65% of marks.
ii) As on 1st January 2018, the candidate's age must be between 22 and 30 years.
iii) The candidate must secure at least 40% marks in the entrance exam and at least 50% marks in the interview.
iv) The candidate must have management trainee experience of atleast 1 year.
(a) In case a candidate fails to fulfil (i) but has a post graduate degree with atleast 60% of marks, then his/her case is to be referred to Head of human resource section.
(b) In case a candidate fails to fulfil (iv) above but ready to execute a bond for two years then his/her case is to be referred to the General Manager.
Lakshmi was born on $$15^{th}$$ March 1993. She did her MBA and securecie marks. At a company she had a training experience after her MBA, for 13 months. Every member in the interview board gave marks from 6 to 9 out of 10. She secured 52% of marks in the entrance examination. Then
Loading solution...
Amar is an applicant for manager post and was born on 2nd September 1990. In the entrance , examination he got more marks than in interview. He got 55% marks in interview. He is ready to execute a bond for two years. He got a first class in graduation securing 68% of marks.
Loading solution...
Sobhan graduated with 55% marks and secured post graduate degree by scoring 63% marks. In the entrance exam and interview he secured respectively 43% and 53% marks. He had experience as management trainee for 2 years. Sobhan's date of birth is 15th December 1986.
Loading solution...
Based on the below information, answer the questions.
5 persons A, B, C, D and E are to be invited on to the dais and are requested to sit on the 5 coloured chairs arranged in the order of Red, Blue, Green, Yellow and White. The person D is not allowed to sit on the Blue chair. The Chief guest A is to be seated on the white chair only. The person E is always to be seated by the side of A. The person B always to be seated at the middle.
The order in which the person are to be seated is:
Loading solution...
If all the persons change their seats except the person sitting on the white chair, the person E is to be seated in the middle chair and no one has the same earlier neighbours, then the order of the persons to be seated on the dais is
Loading solution...
Observe the following figure.

The minimum number of cubes to be placed in empty spaces to complete the cube is
Loading solution...
A hollow cuboid is constructed with identical small blocks as shown in the figure. Three such identical cuboids are attached to it to form z a big hollow cuboid. Then the number of small blocks required to fill the hollow space is

Loading solution...
Seven letters G, N, T, Y, V, Q, C are selected and arranged in the dictionary order. Another two letters are selected and placed in between these seven letters so that
i) the position of the middle letter is not altered after the inclusion of these two letters.
ii) one of the two selected letters become the middle one for the right most five letters.
iii) for the left most five letters G is the middle letter and no two letters are consecutive. Then the two letters included are
Loading solution...
Consider the following activities in a student life.
A: Examinations
B : Convocation
C : Admission
D : Results
E : First Class
If the sequence of occurrance of these activities is arranged in the reverse order, then the correct one in the given options is
Loading solution...
In a class of 50 students, all students are ranked as per their marks in an examination. All the 50 students got distinct marks from each other. A student Ram is in $$18^{th}$$ position from the top and another student Syam is in $$26^{th}$$ position from top. The position of the student from the bottom who got the rank exactly in between the ranks of Ram and Syam, is
Loading solution...
A, B, C, D and E are 5 boys sitting in a row. B is on the right of C who is on the right of A. The boy E is only one in between A and C. D is on the extreem left side. Then the boy in the middle of the arrangement is
Loading solution...
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation