How many triangles are there in the following figure ?

Sign in
Please select an account to continue using cracku.in
↓ →
How many triangles are there in the following figure ?

Login to view the detailed solution.
Select the term that will come in the place of ?
7, 11, 19, 31, ?, 67
Login to view the detailed solution.
Three of the following four word pairs are alike in a certain way and one is different. Pick the odd word out.
Login to view the detailed solution.
Choose the set of numbers that is similar to the following set.
(6, 9, 18)
Login to view the detailed solution.
Three of the following four words are alike in a certain way and one is different. Pick the odd word out.
Login to view the detailed solution.
A square paper is folded and cut as shown below. How will it appear when unfolded ?

Login to view the detailed solution.
Arrange the following words in a logical and meaningful order.
1. Cloud
2. Rainbow
3. Devastation
4. Rain
5. LowPressure
6. Flood
Login to view the detailed solution.
Select the figure in which the given figure is embedded.

Login to view the detailed solution.
Two rotated positions of a dice are given below. Which number will be at the top if the number 1 is on the bottom of the dice ?

Login to view the detailed solution.
Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.
CDAF : XWZU :: DEFC : ?
Login to view the detailed solution.
Select the word-pair in which the two words are related in the same way as the two words in the following word-pair.
Author : Book
Login to view the detailed solution.
Identify the mirror image of the following figure when the mirror is placed to the right of the figure.

Login to view the detailed solution.
Select the option that is related to the third term in the same way as the second term is related to the first term.
LAMP : PALM :: MALE : ______
Login to view the detailed solution.
Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.
Login to view the detailed solution.
‘Room’is related to ‘Ceiling’ in the same way as ‘Mouth’ is related to:
Login to view the detailed solution.
What will be the value of the following equation if ‘$$\div$$’ means addition’, ‘$$+$$’ means ‘subtraction’, ‘$$-$$’ means ‘multiplication’ and ‘$$\times$$’means 'division'?
$$72 \times 9 - 3 \div 8 + 2 = ?$$
Login to view the detailed solution.
Select the figure that will come next in the following figure series.

Select the number pair in which the two numbers are related in the same way as the two numbers of the pair given below.
35 : 6
Login to view the detailed solution.
A letter series is given below in which some letters are missing. Select the option that gives the letters that can fill these blanks in that order.
a_ca_bab_ad_abc_db
Login to view the detailed solution.
Find the next number in the given series.
3, 13, 31, ?, 91
Login to view the detailed solution.
Two statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they do not conform to real-world knowledge, decide which of the conclusion(s) logically follow/s from the statements.
Statements:
All ponds are pools.
Some wells are ponds.
Conclusions:
I. Some ponds are not wells.
II. Some wells are pools.
III. All pools are wells.
Login to view the detailed solution.
Choose the Venn diagram that best illustrates the relationship among the following classes:
Women, Entrepreneurs, Engineers
Login to view the detailed solution.
Ina code language, SEDATIVE is coded as ATDESEVI. How would PERSONAL be coded in that language?
Login to view the detailed solution.
Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.
Login to view the detailed solution.
In a code language if VERY is written as UDQX,then in the same language how will you write the word URGENT?
Login to view the detailed solution.
The Indian Passport was ranked _____ in the 'Global Passport Index Report 2019'.
Minimum Support Price (MSP) is recommended by _____.
The Pradhan Mantri Shram Yogi Mandhan Yojana was launched by _____
Ricket' is a disease associated with the deficiency of ___________
Login to view the detailed solution.
The highest railway station in India is located in the state of _____
_____ was the first and only Muslim woman to ever sit on the throne of Delhi
_____ is the largest river island in the world
Bariatric surgery makes changes to a person's _____
During photosynthesis, green plants use energy from sunlight to synthesise _____ from carbon dioxide and water
What is India's rank in 2019 World Happiness Report?
_____ is the oldest golf course outside the United Kingdom.
Article _____ of the Constitution of India gives the Election Commission the power to supervise elections to the Parliament and state legislatures.
Who amongst the following succeeded the Mughal throne in the year 1556?
_____ is the oldest member of the 16th Lok Sabha.
Which one of the following was NOT a condition laid down in the Gandhi-Irwin Pact?
The _____ was a group of seven Members of Parliament from the United Kingdom, constituted to suggest constitutional reforms for British India.
Which of the following is NOT a vocal form of Hindustani classical music?
The Khajuraho Temples are located in the state of _____.
The National Board for Micro, Small and Medium Enterprises meets once every _____ months in a year.
Varkala, Chowara, Chavakkad and Nattika are beaches in the state of _____.
Who was the first woman judge of the Delhi High Court?
Which of the following acid found in Apple?
The Banking Regulation Act was passed in India in _____.
Which of the following is NOT a symptom of Wilson's disease?
Who became the first Indian golfer to win on the 'Ladies European Tour' in 2016?
The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?
Login to view the detailed solution.
If $$ (1 + \tan^2 \theta) + (1 + ( \tan^2 \theta)^{-1}) = k, then \sqrt k = ?$$
Login to view the detailed solution.
If $$3\sqrt{3}x^3 - 2\sqrt2 y^3 = (\sqrt3 x - \sqrt2 y)(Ax^2 + By^2 + Cxy)$$, then the value of $$(A \times B) \div C$$ is:
To do a certain work, the ratio of the efficiencies of A, B and C is 7 : 5 : 6. Working together, they can complete the same work in 35 days. B and C work together for 21 days. The remaining work will be completed by A alone in:
Login to view the detailed solution.
Ina circle with center O and radius 10 cm, PQ and RS are two parallel chords of lengths x cm and 12 cm, respectively, and both the chords are on the opposite side of O. If the distance between PQ and RS is 14 cm,the value of x is:
Login to view the detailed solution.
$$\left(\frac{1}{1 + \sin^2 \theta} + \frac{1}{1 + \cosec^2 \theta}\right)$$ =
Login to view the detailed solution.
In $$\triangle$$ACE, B and D are the points on side AC and CE,respectively, such that BD $$\parallel$$ AE and AE = $$\frac{8}{3}$$ BD. What is the ratio of the area of $$\triangle$$BDC to that of $$\triangle$$AEC?
The value of $$\frac{1}{\sin \theta} - \frac{\cot^2 \theta}{1 + \cosec \theta}$$ is:
Login to view the detailed solution.
The table shows the production of different types of cars (in thousands).
The total production of type B cars during 2013 to 2016 is approximately what percent less than the total production of cars in 2017?
Login to view the detailed solution.
A train travelling at 44 km/h crosses a man walking with a speed of 8 km/h,in the same direction, in 15 seconds. If the train crosses a woman coming from the opposite direction in 10 seconds, then what is the speed (in km/h) of the woman?
The average of eleven numbers is 54. The average of the first four numbers is 48 and that of the next four numbers is 25% more than the average of the first four. The ninth number is 8 greater than the $$11^{th}$$ number and the tenth number is 4 greater than the $$11^{th}$$ number. What is the average of the $$9^{th}$$ and the $$10^{th}$$ numbers?
Login to view the detailed solution.
PQRS is a cyclic quadrilateral. If angle P is three times the angle R and angle S is five times the angle Q,then the sum of the angles Q and R is:
Login to view the detailed solution.
Sudha saves 15% of her income. If her expenditure increases by 20% and savings increase by 60%, then by what percent has her income increased?
If a + b + c = 2, $$a^2 + b^2 + c^2 = 26$$, then the value of $$a^3 + b^3 + c^3 - 3 abc$$ is:
Login to view the detailed solution.
The table shows the production of different types of cars (in thousands).

The total production of type B cars in 2015 and type C cars in 2013 is what percent more that the total production of type E cars in 2013 and 2014 ? (Correct to one decimal place)
Login to view the detailed solution.
If the data related to the production of type D cars is represented by a pie-chart, then the central angle of the sector representing the production of the cars in 2016 will be:
If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x—7y) for the largest possible value of x, is:
The table shows the production of different types of cars (in thousands).
The ratio of the total production of type A cars in 2017 and type D cars in 2015 to the total production of type B and type E cars in 2013 is:
Login to view the detailed solution.
If $$a + \frac{1}{a} = 3, then \left(a^4 + \frac{1}{a^4}\right)$$ is equal to:
Login to view the detailed solution.
If $$\frac{\cos \theta}{1 - \sin \theta} + \frac{\cos \theta}{1 + \sin \theta} = 4, 0^\circ < \theta < 90^\circ$$, then the value of $$(\tan \theta + \cosec \theta)$$ is:
The area of a $$\triangle$$ABC is one unit. DE is a straight line parallel to BC, joining the points D and E on AB and AC respectively such that AD : DB = 1 : 6. The ratio of the areas of the triangles ADE and ABC is:
The value of $$16 \div 4 of 4 \times [3 \div 4 of \left\{4 \times 3 \div (3 + 3)\right\}] \div (2 \div 4 of 8)$$ is:
In $$\triangle$$ABC, D is a point on AC such that AB = BD = DC. If $$\angle$$BAD = $$70^\circ$$, then the measure of $$\angle$$B is:
A person borrowed a certain sum at 10% p.a. for three years, interest being compounded annually. At the end of two years, he repaid a sum of ₹6,634 and at the end of the third year, he cleared off the debt by paying ₹13,200. What was the sum borrowed by him?
Some fruits are bought at a rate of 11 for ₹100 and an equal number at a rate of 9 for ₹100. If all the fruits are sold at a rate of 10 for ₹100, then what is the gain or loss percent in the entire transaction?
Login to view the detailed solution.
In the following passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Comprehension:
Canada is three times the size of India (1)______ its population is only about 26 million. The average (2)______ of population is less than three persons per square kilometer (3)______ Canada. The distribution of population is highly (4)______. Nearly 80 per cent of the people (5)______ in a narrow belt less than 300 kilometer wide along the southern border. The rest of the country has a very sparse population due to excessive cold.
Select the most appropriate option for blank No. 1
Select the most appropriate option for blank No. 2
Select the most appropriate option for blank No. 3
Select the most appropriate option for blank No. 4
Select the most appropriate option for blank No. 5
In the sentence identify the segment which contains the grammatical error.
We will rest for sometime when we will reach the top
Select the wrongly spelt word.
Select the most appropriate word to fill in the blank.
A painting competition was held in the colony and Kavya was ______ winner in the age group 3-5 years.
Select the most appropriate meaning of the given idiom.
butterflies in the stomach
Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement.
They didn't see you, is it ?
Select the most appropriate meaning of the given idiom.
out of the woods
Select the word which means the same as the group of words given.
A person appointed by two parties to resolve a dispute
Select the synonym of the given word.
DRAG
In the sentence identify the segment which contains the grammatical error.
The river Yamuna has many non-native species like goldfish that is affecting its eco-system.
Given below are four jumbled sentences. Select the option that gives their correct order.
A. It is one of the highly developed countries of the world.
B. It stretches from the Atlantic Ocean in the east to the Pacific Ocean in the west.
C. The USA consists of 50 states including Alaska and Hawai.
D. The United States of America (USA) is the 4th largest country in the world.
Given below are four jumbled sentences. Select the option that gives their correct order.
A. What was supposed to be a holiday of a lifetime turned into a dangerous experience for 1,300 passengers on a cruise ship off the coast of Norway.
B. The Norwegian Government decided to evacuate the passengers with the help of helicopters.
C. The ship broke down in rough seas and high-speed winds caused it to rock heavily from side to side.
D. From the first 371 evacuated passengers, 17 had to be taken to hospital.
Select the wrongly spelt word.
Select the synonym of the given word.
ENGULF
Select the antonym of the given word.
COMIC
Select the word which means the same as the group of words given.
a family of young animals
Select the correct passive form of the given sentence.
Show these visitors the butterfly farm.
Select the antonym of the given word.
GATHER
Select the most appropriate word to fill in the blank.
The National war memorial is ______ to our Armed Forces.
Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement.
We had never seen so strong blizzard. The wind speed was 130 km per hour .
Select the correct active form of the given sentence.
The injured were being removed to the hospital by the police
Educational materials for CAT preparation