Find the remainder in the expression $$\frac{557\times653\times672}{9}$$
Sign in
Please select an account to continue using cracku.in
↓ →
Find the remainder in the expression $$\frac{557\times653\times672}{9}$$
Login to view the detailed solution.
Calculate the value of x, If $$\sqrt{1-(\frac{x}{529}})=(\frac{16}{23})$$
Login to view the detailed solution.
How many solutions does a pair of linear equations will have, if the equations are 4x+5y-6=0 and 16x+20y+20=0?
Login to view the detailed solution.
Determine the value of m for which $$4x+\frac{\sqrt{x}}{6}+\frac{m^2}{4}$$ is a perfect square.
Login to view the detailed solution.
Consider the circle as shown in the figure and choose CORRECT option for this case.

Login to view the detailed solution.
The angle subtended by the chord of length 10 cm is 120° at the centre. Calculate the distance of the chord (in cm) from the centre.
Login to view the detailed solution.
If P : Q = 9 : 7, then what is the value of (P - Q) : (P + Q)?
Login to view the detailed solution.
How much quantity (in kg) of wheat costing Rs 84 per kg must be mixed with 81 kg of wheat costing Rs 60 per kg so that on selling the mixture at Rs 75.9 per kg, there is a gain of 15%?
Login to view the detailed solution.
The average height of A, B and C is 148 cm. If the average height of A and B is 136 cm and that of B and C is 125 cm, then what is the height (in cm) of B?
Login to view the detailed solution.
Some part of Rs 17500 was lent at the rate of 24% per annum simple interest and the remaining part at the rate of 10% per annum simple interest. The total interest received after 5 years is Rs 13300. What is the ratio of money lent at the rate of 24% and 10%?
Login to view the detailed solution.
If 60% of total articles are sold at a loss of 50% and remaining articles are sold at a profit of 50%, then what will be the overall loss percentage?
Login to view the detailed solution.
If three successive discounts of 20%, 30% and 40% are given, then what will be the net discount (in percentage)?
Login to view the detailed solution.
Which of the following statement (s) is / are TRUE ?
I. $$\sqrt{676}+\sqrt{6.76}+\sqrt{0.0676}=27.76$$
II. $$\sqrt{339+\sqrt{36}+\sqrt{49}+\sqrt{81}}=19$$
Login to view the detailed solution.
R is 80% more efficient than S. If S alone can make a book in 90 days, then R alone can make the book in how many days?
Login to view the detailed solution.
Diameter of a car wheel is 21 cm. A car driver moving at the speed of 66 km/hr takes 36 seconds to reach a destination. How many revolutions will the wheel make during the journey?
Login to view the detailed solution.
What is the value of 88% of 1125 + 20% of 425?
Login to view the detailed solution.
The HR department of a company prepared a report. The pie chart from this report shows number of employees in all the departments that the company has. Study the diagram and answer the following questions.

The most number of employees belong to which department?
Login to view the detailed solution.
What is the total number of employees of the company?
Login to view the detailed solution.
The measure of the central angle of the sector representing department B is ________ degrees.
Login to view the detailed solution.
If the average monthly salary of the employees of this company is Rs 20,000 then what is the total of the salaries (in Rs lakhs) paid to all the employees of this company?
Login to view the detailed solution.
The area of an equilateral triangle is $$49\sqrt3 cm^2$$. Find its side (in cm).
Login to view the detailed solution.
What is the measure of an exterior angle of a regular polygon of 6 sides?
Login to view the detailed solution.
The total surface area of a hemisphere is $$1039.5 cm^2$$. Find its diameter (in cm).
Login to view the detailed solution.
ΔDEF is right angled at E. If m$$\angle$$F = $$30^\circ$$, then find the value of $$(cos D - \frac{1}{\sqrt2})$$
Login to view the detailed solution.
In ΔPQR measure of angle Q is $$90^\circ$$. If $$tan P = \frac{24}{7}$$, and PQ = 14cm, then what is the length (in cm) of side QR?
Login to view the detailed solution.
In the following question, select the related word pair from the given alternatives.
Rabbit : Animal : : ? : ?
Login to view the detailed solution.
In the following question, select the related number pair from the given alternatives.
63 : 36 : : ? : ?
Login to view the detailed solution.
In the following question, select the related letter/letters from the given alternatives.
ACD : ZXW : : PMN : ?
Login to view the detailed solution.
In the following question, select the odd word from the given alternatives.
Login to view the detailed solution.
In the following question, four number pairs are given. The number on left side of (-) is related to the number on the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given options.
Login to view the detailed solution.
In the following question, select the odd letter/letters from the given alternatives.
Login to view the detailed solution.
Arrange the given words in the sequence in which they occur in the dictionary.
1. Exception
2. Exceptional
3. Exchanging
4. Exchanged
5. Excess
Login to view the detailed solution.
In the following question, select the missing number from the given series.
11, 13, 17, 19, 23, ?
Login to view the detailed solution.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
BEG, DGI, FIK, HKM, ?
Login to view the detailed solution.
Saurav, Mohit, Mukesh, Sumit and Bhim are arranged in descending order of their height from top to bottom. Saurav is at third place. Bhim is between Sumit and Saurav while Sumit is not at the top end. Who is at second place from the top?
Login to view the detailed solution.
From the given alternatives, select the word which CANNOT be formed using the letters of the given word.
Contemptuous
Login to view the detailed solution.
In a certain code language, “DRAPE” is written as “IWFUJ”. How is “RIGID” written in that code language?
Login to view the detailed solution.
In a certain code language, 'x' represents '+', '÷' represents 'x', '-' represents '÷' and '+' represents '-'. Find out the answer to the following question.
4 x 18 ÷ 5 - 10 + 8 = ?
Login to view the detailed solution.
The following equation is incorrect. Which two signs should be interchanged to correct the equation?
12 - 16 x 25 ÷ 80 + 10 = 7
Login to view the detailed solution.
If $$6\alpha1 = 70, 2\alpha3 = 50$$ and $$4\alpha5 = 90$$, then find the value of $$4\alpha1 = ?$$
Login to view the detailed solution.
Which of the following terms follows the trend of the given list?
BAAAAAAB, ABAAAAAB, AABAAAAB, AAABAAAB, AAAABAAB, _______________.
Login to view the detailed solution.
A shopper in a mart loads his trolley and walks 30 m through an alley which is going South, then he turns to his right and walks 10 m, then he turns North and walks another 10 m, then he turns West and walks 45 m and then he turns North and walks 20 m. Where is he now with reference to his starting position?
Login to view the detailed solution.
In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statement I: All watches are ornaments
Statement II: All clocks are watches
Conclusion I: All ornaments are clocks
Conclusion II: All clocks are ornaments
Login to view the detailed solution.
In the following figure, rectangle represents Physicians, circle represents Racers, triangle represents Writers and square represents Mothers. Which set of letters represents Mothers who are not Racers?

Login to view the detailed solution.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
GLN, HNQ, IPT, JRW, ?
Login to view the detailed solution.
In the following question, select the missing number from the given series.
87, 62, 42, 27, 17, ?
Login to view the detailed solution.
In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Login to view the detailed solution.
If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

Login to view the detailed solution.
Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?

Login to view the detailed solution.
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example 'C can be represented by 10, 34 etc and 'CI can be represented by 85, 96 etc. Similarly, you have to identify the set for the word 'GOES'.

Login to view the detailed solution.
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.
I look up (a) after the blast (b) of light enveloped the park. (c) No error (d)
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.
According to the Copernican principle, the Earth does not (a) occupy a unique position in the Universe while (b)implies life on other planets can be a possibility. (c) No error (d)
In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
The ______ age movies are quite popular.
In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
The love which is based on physical beauty is not ______.
In the following question, out of the given four alternatives, select the one which best expresses the meaning of the given word.
Mollify
In the following question, out of the given four alternatives, select the one which best expresses the meaning of the given word.
Importune
In the following question, out of the given four alternatives, select the one which is opposite in meaning of the given word.
Rotund
In the following question, out of the given four alternatives, select the one which is opposite in meaning of the given word.
Flamboyant
Rearrange the parts of the sentence in correct order.
Bringing equity
P : for the rural population should be
Q : a priority for the National Health Mission
R : in access to the doctors and medicines
A sentence has been given in Active/Passive Voice. Out of the four given alternatives, select the one which best expresses the same sentence in Passive/Active Voice.
The cat caught a rat.
A sentence has been given in Direct/Indirect Speech. Out of the four given alternatives, select the one which best expresses the same sentence in Indirect/Direct Speech.
The wolf cried out to the hound, “A thought has just come into my head.”
In the following question, a word has been written in four different ways out of which only one is correctly spelt. Select the correctly spelt word.
In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Let us examine the facts in the case more ____________. First of all, language is no more ____________ a medium; it is like air to the creatures of the land or water to fishes. If it is perfectly clear and pure, we do not notice it any more than we notice pure air when the sun is shining ________ a clear sky, or the taste of pure cool water when we drink a glass __________ a hot day. Unless the sun is shining, there is no brightness; unless the water is cool, there is __________ refreshment.
in the case more ____________. First of all
no more ____________ a medium;
sun is shining ________ a clear sky,
when we drink a glass __________ a hot day.
there is __________ refreshment.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Don't put all your eggs in one basket
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Let your hair down
In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.
Senseless talk or writing
In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.
Made or done in the traditional or original way
In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement".
At one time, the lock industry here flourished and locks (was exported) on a major scale.
In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement".
The bliss of (oversleeping) cuddled up under a warm and cosy blanket is just other-worldly.
The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.
Students who
A : intricacies of learning it
B : subject know the
C : study logic as a
In the following question, four words are given out of which one word is correctly spelt. Select the correctly spelt word.
The agricultural price support program is an example of ___________.
Which was the first modern industry to develop in India?
Which of the following lake lies on the Equator in Africa continent?
Jog Falls is situated on which river?
Faizi lived in the court of _________.
Where did the leader of the Individual Satyagraha movement, Acharya Vinoba Bhave started this movement?
The well-known dialogue between Nachiketa and Yama is mentioned in which Upanishada?
Which country, in January 2018 broke India's monopoly in providing Internet access to Nepal by becoming country's second Internet service provider?
Which among the following is NOT a recipient of Sangeet Natak Akamemi's fellowships (Akademi Ratna)-2018?
When was the "Boxer Rebellion" happened in China?
What is formed when helium atom loses one electron?
Apart from proposing atomic thoery, what did John Dalton researched on?
Which among the following is/are the unitary feature(s) of Indian Constitution?
I. Single Constitution for State and Centre
II. Single Citizenship
III. Integrated Judiciary
Article 360 of Indian Constitution, empowers whom to proclaim a Financial Emergency?
Match the following:

Login to view the detailed solution.
What is the basis of classifying various plant tissues as meristematic tissue and permanent tissue?
In December 2017, who launched project ‘DARPAN’ (Digital Advancement of Rural Post Office for a New India)?
Botanical Survey of India has discovered a new species of parasitic flowering plant Gleadovia Konyakianorum named in the honour of which community?
In October 2017, State Bank of India announced to set up Country’s largest innovation centre in ______.
The Union Home Ministry will set up an Indian Cyber Crime Coordination Centre (14C), an apex coordination centre at which place to deal with cybercrimes?
A body of mass 6 kg accelerates from 6 m/s to 18 m/s in 3 seconds due to the application of a force on it. Calculate the magnitude of this force (in N).
We obtain average _____________ by dividing the total energy consumed by the total time taken.
Water covers _______________ % of the Earth’s surface.
Which of the statements given below are correct?
A) In 2017, Lewis Hamilton raced in Formula One for Mercedes.
B) In 2018 IPL auctions, Mumbai Indians retained Hardik Pandya.
C) Chen Meng won the Table Tennis 2017 ITTF World Tour Grand Finals Women's Singles.
______________ among the following is not an operating system.
Educational materials for CAT preparation