The sum of a proper fraction and its reciprocal is $$\frac{61}{30}$$. Find the fraction.
Sign in
Please select an account to continue using cracku.in
↓ →
The sum of a proper fraction and its reciprocal is $$\frac{61}{30}$$. Find the fraction.
Login to view the detailed solution.
Sum of four consecutive odd numbers is 208. Find the largest number.
Login to view the detailed solution.
If $$\frac{-5x}{3}+2=x-6$$, then fond the value of 'x'.
Login to view the detailed solution.
Divya and Kriti have total 46 candies. If Divya has 10 candies more than kriti, then find the total number of candies Divya have?
Login to view the detailed solution.
Triangle ABC as shown in the figure has line XY parallel to the BC and the line BY is the bisector of angle XYC. Which of the following option is correct?

Login to view the detailed solution.
Analyze the figure shown below in which DE || BC and the other dimensions are as follows AD=3 cm, BD=4 cm, AE=4.4 cm and DE=6 cm. Calculate the length (in cm) of BC.
Two numbers are more than the third number by 16.25% and 55% respectively. First number is what percentage of the second number?
Login to view the detailed solution.
If $$u : v = v : w$$, then what is the value of $$u^4 : v^4$$ ?
Login to view the detailed solution.
R and S started a business by investing Rs 165000 and Rs 195000 respectively for the same period of time. If R’s share in the profit earned by them is Rs 11000, then what is the total profit (in Rs) earned by both of them together?
Login to view the detailed solution.
The average of 12 numbers is 35. If four numbers 20, 27, 15 and 29 are removed then what will be the average of remaining numbers?
Login to view the detailed solution.
What is the difference (in Rs) between compound interest (compounded annually) and simple interest for 3 years on a principal of Rs 3000 at the annual rate of 20% ?
Login to view the detailed solution.
A dishonest shopkeeper uses a weight of 850 gm instead of 1 kg and sells rice on its cost price. What will be his profit percentage on selling 5 kg rice?
Login to view the detailed solution.
A fan is sold at a discount of 37.5%. If the marked price of the fan is Rs 7200, then what is the selling price (in Rs) of the fan?
Login to view the detailed solution.
What is the simplified value of $$2\sqrt[3]{243}+3\sqrt[3]{9}-\sqrt[3]{1125}$$ ?
Login to view the detailed solution.
24 men can repair a road in 50 days. If they are joined by 16 more men, then in how much time (in days) the road can be repaired?
Login to view the detailed solution.
Two motorcycles are moving towards each other with the speeds of 38 km/hr and 88 km/hr respectively. One second before the collision what will be the distance (in metres) between the two motorcycles?
Login to view the detailed solution.
The bar graph shows 1 month's sales figures of different brands of televisions of a certain electronics store in Rs 1000s. Study the diagram and answer the following questions.

Sales of which television brand were the second lowest?
Login to view the detailed solution.
What is the ratio of sales of brand E to that of brand A?
Login to view the detailed solution.
Sales of brand B was lesser than that of brand G by ________.
Login to view the detailed solution.
If the sales figures are exclusive of tax then at the rate of 12% tax how much is the tax to be paid (in Rs) on the sales of all the 7 brands of televisions?
Login to view the detailed solution.
The area and the length of one of the diagonals of a rhombus is $$60 cm^2$$ and 8 cm respectively. Find the length of its other diagonal (in cm).
Login to view the detailed solution.
Find the area $$(in cm^2)$$ of a semi-circle of radius 7 cm.
Login to view the detailed solution.
Find the total surface area $$(in cm^2)$$ of a cube of side 3.5 cm.
Login to view the detailed solution.
What is the value of $$( \frac{1}{\sqrt{3}} + cot 60^\circ)$$ ?
Login to view the detailed solution.
ΔABC is right angled at B. If $$cot A = \frac{7}{24}$$, then what is the value of $$cosec C$$ ?
Login to view the detailed solution.
In the following question, select the related word pair from the given alternatives.
Hospital : Treatment : : ? : ?
Login to view the detailed solution.
In the following question, select the related number from the given alternatives.
13 : 171 : : 17 : ?
Login to view the detailed solution.
In the following question, select the related letter/letters from the given alternatives.
PTR : NRP : : WTV : ?
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 alternatives.
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. Dispel
2. Dispute
3. Distinct
4. Dissent
5. Disrupt
Login to view the detailed solution.
In the following question, select the missing number from the given series.
15, 21, 28, 34, ?, 47
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.
D, G, K, N, R, ?, ?, B, F
Login to view the detailed solution.
Rajnish walks 35 km towards north. He turns left and walks 20 km. He turns left and walks 35 km. How far (in km) is he now from his starting point?
Login to view the detailed solution.
From the given alternatives, select the word which CANNOT be formed using the letters of the given word.
Nightingales
Login to view the detailed solution.
In a certain code language, “TALCS” is written as “UENCV”. How is “SPARK” written in that code language?
Login to view the detailed solution.
In a certain code language, '-' represents '+', '+' represents 'x', 'x' represents '÷' and '÷' represents '-'. Find out the answer to the following question.
2 ÷ 12 - 6 + 20 x 4 = ?
Login to view the detailed solution.
The following equation is incorrect. Which two signs should be interchanged to correct the equation?
18 x 12 - 6 ÷ 5 + 4 = 35
Login to view the detailed solution.
If 8*9 = 36, 12*4 = 24 and 14*6 = 42, then find the value of 18*6 = ?
Login to view the detailed solution.
Which of the following terms follows the trend of the given list?
AABAAAA, BAAAAAA, AAAAABA, AAABAAA, ABAAAAA, _______________.
Login to view the detailed solution.
A goods carrier travels 23 km East, then it turns North and travels 15 km, then it turns West and Travels 38 km, then it turns to its left and travels 15 km. Where is it now with reference to its 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 brushes are brooms
Statement II: All mops are brushes
Conclusion I: All brooms are mops
Conclusion II: All mops are brooms
Login to view the detailed solution.
In the following figure, rectangle represents Dieticians, circle represents Floral designers, triangle represents Gardeners and square represents Asians. Which set of letters represents Floral designers who are not Gardeners?

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.
PMA, RPE, TSI, VVM, ?
Login to view the detailed solution.
In the following question, select the missing number from the given series.
67, 80, 93, ?, 119, 132
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 'A' can be represented by 30, 41 etc and 'W can be represented by 65, 97 etc. Similarly, you have to identify the set for the word 'QUIT'.

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'.
The evolutionary history of penguins (a)/ is well-researched and represents a showcase of (b)/ evolution biogeography. (c)/ No error (d)
It was by real sorrow (a)/ that I heard this morning (b)/ of your great loss. (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.
Angela was ______ of that big mansion.
______ great was achieved by an individual without enthusiasm and interest.
In the following question, out of the given four alternatives, select the one which best expresses the meaning of the given word.
Jettison
Prolific
In the following question, out of the given four alternatives, select the one which is opposite in meaning of the given word.
Purloin
Florid
Rearrange the parts of the sentence in correct order.
The economic
P : a country leads to exponential
Q : growth of that country
R : empowerment of women of
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 commotion terrified her.
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.
I said to Ajay, “Will you lend me some money?”
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.
It is basic to a democracy that its citizens remain in harmony _______ one another. At the very least, they should _______ treat each other as enemies. Enmity is spread only by vested interests that hope to thrive _________ polarising citizens. The ______________ between professed love for the country and infecting the people with hatred remains ignored. There is no instance in history of the policy of ‘divide and rule’ _____________ people’s welfare.
remain in harmony _______ one another.
they should _______ treat each other
hope to thrive _________ polarising citizens
The ______________ between professed love
‘divide and rule’ _____________ people’s welfare.
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Blessing in disguise
A picture paints a thousand words
In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.
Working-class people regarded collectively
A long, angry speech of criticism or accusation
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 Buddha (was consumed) by the human suffering that he saw all around him.
This unresponsive attitude by people must (has hurt) him.
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.
Rest assured that water
A-stop plunging if there are too
B-many people around
C-in the Nohkhalikai falls will not
In the following question, four words are given out of which one word is correctly spelt. Select the correctly spelt word.
Buyer’s market denotes the place where ___________.
State with maximum production of coffee in India is ___________.
Which of the following is NOT an example of intermontane plateau?
Tawa river is the tributary of?
The Sanskrit poet Rajshekhar lived in the court of ___________.
Which of the following Mughal rulers started 'Jharokha Darshan'?
Who of the following is a world famous flute player?
With which country India has signed an agreement in September 2017 for co-operation in health sector?
Who among the following was honored with the "Hridaynath Mangeshkar Award-2017" in October 2017?
Pakistan is located in which direction of India?
If an atom has atomic number 10 and mass number 23, then what will be the number of protons and neutrons in an atom respectively?
While cooking, if the bottom of the vessel is getting blackened on the outside, it means that ______.
Temporary Provisions with respect to the state of Jammu and Kashmir is given in which Article of Indian Constitution?
Which among the following writs can be issued against any private individual?
I. Certiorari
II. Prohibition
III. Habeas Corpus
Which type of epithelial tissue forms the lining of kidney tubules and ducts of salivary glands, where it provides mechanical support?
The cell walls of many organisms of Fungi kingdom are made of a tough complex sugar called ______.
In November 2017, who launched ‘Grahak Sadak Koyla Vitaran App’ that aims to benefit customers of Coal India Limited (CIL)?
What is the name of the asteroid that causes Geminid meteor shower display around 15 December of every year?
In October 2017, RBI planned to make ______ compulsory for companies having aggregate exposure over Rs 5 crore.
On January 16, 2018 the Supreme Court ruled the attacks and interference on adults opting for inter-caste marriage as ‘absolutely illegal’ in the petition filed by which NGO in 2010?
Find the acceleration $$(in m/s^2)$$ produced in a body of mass 2 kg when a force of 8 N is applied on it.
An object having a capability to do work is said to possess __________.
The ozone layer protects us from harmful _______________ rays of the sun.
Which of the statements given below are correct?
A) In 2017, Michael Carrick captained the Premier League team Manchester United.
B) Sergio García won the Golf 2017 ANA Inspiration.
C) In 2018 IPL auctions, Kolkata Knight Riders retained Axar Patel.
In MS-Excel, ________ are an excellent tool to present data in a worksheet in a visually appealing format which aids in analyzing and comparing data.
Educational materials for CAT preparation