Find the unit place digit in the expression $$(159)^{114}+(114)^{123}-(110)^{510}+(213)^{25}$$
Sign in
Please select an account to continue using cracku.in
↓ →
Find the unit place digit in the expression $$(159)^{114}+(114)^{123}-(110)^{510}+(213)^{25}$$
Login to view the detailed solution.
If $$\frac{256}{0.256}=\frac{25.6}{x}$$, then what is the value of x ?
Login to view the detailed solution.
If $$x=\sqrt{15\sqrt{15\sqrt{15\sqrt{15\sqrt{15....\infty}}}}}$$ and x>0, then find the value of $$x^2+4$$
Login to view the detailed solution.
If two equations $$x-4y=0$$ and $$4x+3y=19$$ have a solution $$(a,b)$$. Find the value of $$\frac{ab}{a+4b}$$
Login to view the detailed solution.
Which of the following statement is CORRECT about a triangle?
Login to view the detailed solution.
Classify the triangle as a type of triangle if the sides of the triangle are 6, 12 and 13 units.
Login to view the detailed solution.
Weight of Ayush and Abhishek are in the ratio of 6 : 11. Abhishek’s weight increases by 25% and total weight of Ayush and Abhishek both increases by 40%. If total weight becomes 119 kg, then what is the weight (in kg) of Ayush after the increment?
Login to view the detailed solution.
A box consist of 5 rupees, 2 rupees and 1 rupee coins and their value are in the ratio of 15 : 4 : 2 respectively. If there are total 112 coins, then how many 2rupees coins are there in the box?
Login to view the detailed solution.
A mixture contains liquid A and liquid B in the ratio of 5 : 4. If 2 litres of liquid B is added to it, then the ratio of liquid A and liquid B becomes 7 : 6. What is the quantity (in litres) of liquid A in the mixture?
Login to view the detailed solution.
Average of 10 numbers is 14. If each number is multiplied by 6, then what will be the new average?
Login to view the detailed solution.
The simple interest on a sum is $$\frac{5}{9}$$ of the principal for 25 years. What is the rate (in percentage) of interest per annum?
Login to view the detailed solution.
If selling price and cost price of an article are Rs 684.25 and Rs 595 respectively, then what is the profit percentage?
Login to view the detailed solution.
The marked price of a book is Rs 4200. The shopkeeper gives two successive discounts of 25% and y% to the customer. If the customer pays Rs 2898 for the book, then what is the value (in percentage) of y?
Login to view the detailed solution.
What is the value of $$[(\sqrt{529})+(\sqrt{5.29})+(\sqrt{0.0529})]$$ ?
Login to view the detailed solution.
P and Q undertook to do a work for Rs 7200. P alone could do it in 20 days and Q alone in 12 days. With the assistance of R they finished the work in 5 days. What is the share (in Rs) of R?
Login to view the detailed solution.
A boat covers 143 km upstream in 13 hours and the same distance downstream in 11 hours. What is the speed (in km/hr) of the boat in still water?
Login to view the detailed solution.
The line graph shows the production of steel of a certain country. Study the diagram and answer the following questions.

In which year was the steel production lesser than that of the previous year?
Login to view the detailed solution.
What was the difference (in million tonnes) in the steel production between the years 2011 and 2015?
Login to view the detailed solution.
The steel production in 2012 were greater than that in 2015 by ________.
Login to view the detailed solution.
If 1 tonne of steel costs Rs 30,000, then what was the cost (in Rs billion) of the steel production in the year 2017?
Login to view the detailed solution.
The perimeter of a square is 26 cm. Find its area $$(in cm^2)$$
Login to view the detailed solution.
The area of a circle is $$616 cm^2$$. Find its radius (in cm).
Login to view the detailed solution.
Find the surface area $$(in cm^2)$$ of a sphere of diameter 14 cm.
Login to view the detailed solution.
What is the value of $$(\frac{1}{\sqrt3} - sin 45^\circ)$$ ?
Login to view the detailed solution.
In ΔPQR measure of angle Q is $$90^\circ$$. If $$cot P = \frac{8}{15}$$, and PQ = 4cm, then what is the length (in cm) of side PR?
Login to view the detailed solution.
In the following question, select the related word pair from the given alternatives.
Saw : Carpenter : : ? : ?
Login to view the detailed solution.
In the following question, select the related number pair from the given alternatives.
69 : 87 : : ? : ?
Login to view the detailed solution.
In the following question, select the related letter pair from the given alternatives.
SQM : RPL : : ? : ?
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
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. Clump
2. Clown
3. Climax
4. Clumsy
5. Climb
Login to view the detailed solution.
In the following question, select the missing number from the given series.
2, 3, 4, 9, 16, 29, 54, ?
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.
E, I, M, ?, U, Y
Login to view the detailed solution.
Present age of R and S are in the ratio of 3 : 2 respectively. If the present age of H is 117 years and R’s present age is $$\frac{4}{13}$$ of H’s present age, then after how many years the ages of R and S would be in the ratio of 15 : 11?
Login to view the detailed solution.
From the given alternatives, select the word which CANNOT be formed using the letters of the given word.
Represhensible
Login to view the detailed solution.
In a certain code language, “FUMIC” is written as “6211393” and “STEAM” is written as “19205113”. How is “PROP” 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.
20 ÷ 12 - 30 + 10 x 10 = ?
Login to view the detailed solution.
The following equation is incorrect. Which two signs should be interchanged to correct the equation?
32 ÷ 16 - 5 x 8 + 2 = 13
Login to view the detailed solution.
If 6@16 = 11, 2@14 = 8 and 8@8 = 8, then find the value of 10@18 = ?
Login to view the detailed solution.
Which of the following terms follows the trend of the given list?
BAAAAABA, BAAAABAA, BAAABAAA, BAABAAAA, BABAAAAA, _______________.
Login to view the detailed solution.
An old man starts his daily walking routine. He walks 2 km East, then turns North and walks 1 km, then turns West and walks 2 km, then turns to his right and walks 1.5 kms. Where is he now with respect to the 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: No taps are nozzles
Statement II: Some valves are taps
Conclusion I: All nozzles are valves
Conclusion II: All valves are nozzles
Login to view the detailed solution.
In the following figure, rectangle represents Hairstylists, circle represents Racers, triangle represents Divers and square represents Fathers. Which set of letters represents Fathers who are Divers?

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.
RFT, QDQ, PBN, OZK, ?
Login to view the detailed solution.
In the following question, select the missing number from the given series.
52, 41, 32, 25, ?, 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 Matri•l 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 IC can be represented by 23,40 etc and 'X' can be represented by 66, 96 etc. Similarly, you have to identify the set for the word 'DUNG'.

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'.
Of all the forts (a) that I’ve visit in India, (b) Daulatabad Fort is my favourite. (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'.
The Bench will also have to say (a) whether the laws are really at consonance with (b) the basic tenets of the 1960 Act. (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.
A paragraph ______ number of sentences grouped together.
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.
What would you have done if you ______ the band?
In the following question, out of the given four alternatives, select the one which best expresses the meaning of the given word.
Carouse
In the following question, out of the given four alternatives, select the one which best expresses the meaning of the given word.
Clement
In the following question, out of the given four alternatives, select the one which is opposite in meaning of the given word.
Artifice
In the following question, out of the given four alternatives, select the one which is opposite in meaning of the given word.
Extant
Rearrange the parts of the sentence in correct order.
Sociologists believe
P : that the reason why honour killings
Q : of the continued rigidity of the caste system
R : continue to take place is because
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 mechanic uses old spare parts for the car.
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 visitor enquired, “When is the next train?”
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.
Left to itself, then, attention _____________ obeys natural laws and follows the line of least resistance. _______________ far the larger portion of our attention is of this type. Thought often runs on hour after hour when we are neither conscious of effort _____________ struggle to compel us to cease thinking about this thing and begin thinking about _________. Indeed, it may be doubted ___________ this is not the case with some persons for days at a time, instead of hours. The things that present themselves to the mind are the things which occupy it; the character of the thought is determined by the character of our interests.
Left to itself, then, attention _____________ obeys natural laws
least resistance. _______________ far the larger portion
conscious of effort _____________ struggle to compel
thinking about _________. Indeed,
be doubted ___________ this is not the case
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Ring fencing
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Keep your chin up
In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.
Be deprived of property or a right or privilege as a penalty for wrongdoing
In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.
Absolve someone from blame for a fault or wrongdoing
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".
He (has to develop) self-confidence, so leave him alone.
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 music (soothe) me and I stroll on happily.
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.
There is an
A : a telephonic talk could never replicate
B : instant rapport in the written
C : communication which the printed message or
In the following question, four words are given out of which one word is correctly spelt. Select the correctly spelt word.
Voting rights in the IMF are distributed on the basis of ___________.
The purpose of land reforms was to achieve ___________.
What is called the residual eroded mounds sporadically located in Karst Plains?
Which of the following rivers of peninsular India is distinct from the remaining three?
A couple burial was found from which of the following Harappan sites?
The Indian Council of 1892 Act was based on which plan?
In which area did Nandalal Bose earn fame?
Which country in October 2017 announced to allow women into three sports stadium for the first time from 2018?
In January 2018, Aziz Ansari became the first Indian-American and first Asian to win a Golden Globe award for which comedy series?
Who among the following is the author of Sri Lanka's national anthem?
Which of the following group does NOT follow Newlands Law of Octaves?
Which of the following is an example of compound?
Which Schedule of Indian Constitution was added by 73rd Constitutional Amendment Act?
In India, which among the following can be amended by Special Majority of Parliament and Consent of States?
I. Election of President and its manner
II. Any of the lists in Seventh Schedule
III. Amendment in Fundamental Right
Blood is a connective tissue embedded in which type of intercellular matrix?
Slow-growing large coloured patches on the bark of trees are the examples of symbiotic life forms called ______.
On 17 October 2017, who launched the online Campaign ‘women for women : #IAmThatWomen’ to end gender bias?
India was declared free from which infective eye disorder on 9 December, 2017?
On 25 October 2017, government announced a recapitalisation plan for state-owned banks. How much amount was announced for Banks’
recapitalisation?
On 22 November 2017, cabinet approved expansion of "Beti Bacho Beti Padhao" for a Pan India coverage in how many districts of the country?
What is the heat generated (in J) in a heating element of resistance 800 Ω when a current of 0.2 A passes through it for 40 seconds?
When an object is thrown vertically upwards, at its maximum height its _____________.
_______contributes towards global warming so it is called a greenhouse gas.
Which of the statements given below are correct?
A) United Arab Emirates hosted the Tennis 2017 ATP World Tour Finals.
B) In 2017, Per Mertesacker captained the Premier League team Manchester United.
C) In 2017, Stephen Curry played for the NBA team Golden State Warriors.
In Microsoft Excel, Ctrl+ right arrow key leads to _______ cell movement on spreadsheet.
Educational materials for CAT preparation