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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some telephones are mobiles.
All mobiles are tablets.
Some tablets are laptops.
Conclusions:
I. Some mobiles are laptops.
II. All telephones are tablets.
III. Some telephones are tablets.
Vinita and Amita are the sisters of Gaurav. Ashish is the father of Vinita. Ansh is the son of Amita. How is Ashish related to Ansh?
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
X _ U _ B _ O _ Z _ X _ U _ B
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
LAS, NFW, MKD, OPH, LUS, ?
In a certain code language, ‘FILE’ is coded as 8357 and ‘SINK’ is coded as 9364. How will ‘NIKE’ be coded in that language?
Prakash, Qadir, Ramesh, Saurabh and Tariq are friends. Ramesh is taller than Qadir but shorter than Saurabh. Prakash is the shortest, and Tariq is taller than Saurabh. Who is the tallest among them?
Select the correct combination of mathematical signs that can sequentially replace the * signs and make the given equation correct.
22 * 110 * 392 * 49 * 18 * 12
In a certain code language, ‘Min Fin Dig Jig’ means ‘Radha is an artist’ and ‘Sic Ric Min Dig Fin’ means ‘An artist is always open-minded’. Which of the following is the code for ‘Radha’?
Select the option that is related to the third term in the same way as the second term is related to the first term.
CARNATIC : SBDMZDJU :: FREEDOMS : ?
The radius of a circle is 90 cm. If the radius of this circle is increased to 99 cm, then what will be the percentage increase in the area of this circle?
Select the figure from among the given options that can replace the question mark (?) in the following series.
Which two signs need to be interchanged to make the following equation correct?
$$189 \div 27 − 3 + 29 \times 2 = 48$$
Select the option that is related to the third number in the same way as the second number is related to the first number.
147 : 222 :: 158 : ?
Select the option in which the given figure is embedded (rotation is NOT allowed).
Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the letter-cluster that is different.
Select the number from among the given options that can replace the question mark (?) in the following series.
38, 53, 70, 89, ?
Vijendra walks a certain distance, say X metres, from his home towards the west. Then he turns left and walks 23 metres. After that, he turns left and walks 36 metres. Then he turns left again to walk 23 metres. He finally turns left and walks 18 metres to reach his home. Find the value of X.
Select the correct mirror image of the given figure when the mirror is placed at 'AB' as shown.
In a certain code language, ‘NORMAL’ is written as ‘DIPKRO’ and ‘SOUND’ is written as ‘GKRPX’. How will ‘CLUSTER’ be written in that language?
Select the correct option that indicates the arrangement of the given words in the order in which they appear in an English dictionary.
1. Pediculate
2. Pandemonium
3. Pancytopenia
4. Panelist
5. Panegyric
Select the number from among the given options that can replace the question mark (?) in the following series.
18, 34, 66, 130, ?
The sequence of folding a piece of paper and the manner in which the folded paper has been cm is shown in the following figures. How would this paper look when unfolded?
Study the given matrix carefully and select the number from among the given options that can replace the question mark (?) in it.
9 7 9
5 4 7
43 26 ?
A cube of side 18 cm is painted yellow on all the faces and then cut into smaller cubes of sides 3 cm each. Find the number of smaller cubes that have only two faces painted.
Select the Venn diagram that best illustrates the relationship between the following classes.
Plastic items, Buckets, Photo frames
Sikandra is the final resting place of Emperor ______.
In which of the following years did the Indian army free Goa from the Portuguese?
Which of the following Amendment Acts of the Constitution of India abolished the privy purses and privileges of former rulers of princely states?
The Northeast Canyons and Seamounts Marine National Monument is located in the ______.
______ is a popular folk dance of Minicoy Island.
Who among the following was nominated for the 30th GD Birla Award for Scientific Research for his/her outstanding contribution to engineering science in April 2021?
The Swachh Swasth ______ is an initiative to achieve better health outcomes through improved sanitation, increased awareness and healthy lifestyles.
Which of the following events in 2018 holds the Guinness World Record as being the largest annual fundraising event in the world (as of April 2021)?
Who among the following was appointed as the brand ambassador of Eat. fit in March 2021?
As per an estimate by the ‘Food Waste Index Report 2021’, released by the United Nations Environment Programme (UNEP) in March 2021, India wastes approximately ______ kg food per person per year.
Prashant Bhushan, who was a founding member of the India Against Corruption movement, is a prominent Indian ______.
The Union Budget 2021-22 has recommended a voluntary scrapping policy for vehicles based on fitness tests after a period of ______ years for personal vehicles.
The scientific name for the domestic ______ is Canis lupus familiaris.
Which of the following is the main food crop of the semi-arid areas of central and southern India?
GV Mavalankar was the Chairman of the ______ of the Constituent Assembly of India.
A celt is ______ from the Neolithic period.
In order to prevent tooth decay safely and effectively by making use of water, it is subject to which of the following processes?
Which of the following does NOT belong to ‘Kingdom Fungi’?
The National Rail Plan announced in the Union Budget of 2021-22 aims to create a future ready railway system by which of the following years?
In March 2021, Bhavani Devi became the first Indian ______ to qualify for the Olympics.
Koteshwar Hydroelectric Power Project is located on the river ______.
Which of the following Articles of the Constitution of India deal with the right to equality?
In September 2020, Cabinet Committee on Economic Affairs (CCEA) approved increasing MSP of ______ Rabi crops for the marketing season 2021-22.
As described in ‘Ain-i-Akbari’ by Abul Fazl-i-Allami, ‘gaz’ (unit of measuring length) was divided into equal parts called ______.
Participation in which of the following activities is NOT recommended for the motor development of a student?
The following pie chart shows the distribution of percentage of a certain corporate office employees in various age groups.
Total number of employees of the corporate office = 2500
Study the chart carefully and answer the question that follows.
The number of the corporate office employees of age group of 38+ years and above is how much percentage more than that of 28+ to 38 years?
The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.
What is the minimum change percentage in the number of cars in comparison to the previous hour? (correct to 2 decimal places)
The difference between compound interest compounded annually and simple interest on a certain sum at a rate of 15% per annum for 2 years is ₹1,944. Find the compound interest compounded annually (in ₹) on the same sum for the same period at a rate of 10% per annum.
In a right triangle ABC, right angled at B, altitude BD is drawn to the hypotenuse AC of the triangle. If AD = 6 cm, CD = 5 cm. then find the value of $$AB^{2}+BD^{2}$$(in cm).
A shopkeeper allows a 28% discount on the marked price of an article and still makes a profit of 20%. If he gains ₹30.80 on the sale of one article, then what is the selling price (in ₹) of the article?
The given bar chart represents the number of Televisions Sets (TV) manufactured (in thousands) and the respective percentage of those TV Sets sold by five different companies A, B, C, D and E in 2015.
Study the chart carefully and answer the question that follows.
The average number of TV sets sold by companies C and D is what percentage of the number of TV sets manufactured by company E? Express your answer correct to one place of decimal.
A triangle with the lengths of its sides proportional to the numbers 7, 24 and 30 is:
Points A and B are on a circle with centre O. PA and PB are tangents to the circle from an external point P. If PA and PB are inclined to each other at $$42^{\circ}$$, then find the measure of $$\angle$$ OAB.
Numbers A and B are 0% and 50%, respectively, more than the number C. The ratio of A to that of B is:
Ram travelled from a place Z to P at an average speed of 130 km/h. He travelled the first 75% of the distance in two third of the time and the rest at an average speed of X km/h. The value of $$\frac{x}{2}$$ is:
The value of: $$\left[25+8\div2-\left\{16+\left(14 of 7\div14\right)-\left(18\div12 of \frac{1}{2}\right)\right\}\right]$$
What is the least square number which is exactly divisible by 2, 3 10, 18 and 20?
If $$6 \tan A \left(\tan A - 1\right) = 5 - \tan A$$, Given that O < A < $$\frac{\pi}{2}$$. what is the value of $$\left(\sin A + \cos A\right)$$?
The average of eleven consecutive positive integers is d. If the last two numbers are excluded, by how much will the average increase or decrease?
In a circle with centre O, PA and PB are tangents to the circle at point A and point B, respectively. C is a point on the major are AB. If $$\angle ACB = 50^{\circ}$$, then find the measure of $$\angle$$ APB.
Study the given bar graph and answer the question that follows.
The bar graph shows the exports of cars of type A and B (in ₹ millions) from 2014 to 2018.
The total exports of cars of type A from 2014 to 2016 is approximately what percentage less than the total exports of cars of type B from 2015 to 2017 (correct to one decimal place)?
80% and 90% pure acid solutions are mixed to obtain 20 litres of 87% pure acid solution. Find the quantity (in litres) of 80% pure acid solution taken to form the mixture.
The tops of two poles of heights 18 m and 30.5 meters connected by a wire. If the wire makes an angle of $$30^{\circ}$$ with the horizontal, what is the length (in m) of the wire?
If $$\left(0.4x+\frac{1}{x}\right)=5$$, what is the value of $$0.064x^{3}+\frac{1}{x^{3}}$$?
Manjeet bought a second-hand motorbike for ₹22,000 and spent ₹3,000 on its overhauling and maintenance. He then sold it with 12% profit. If he had sold it for ₹500 less, then what would have been his profit percentage?
Find the value of k in the number 3426k if the number is divisible by 6 but NOT divisible by 5.
Simplify the following expression:
$$\cosec^{4} A\left(1 - \cos^{4} A \right) - 2 \cot^{2} A - 1$$
The inner circumference of a circular path enclosed between two concentric circles is 264 m. The uniform width of the circular path is 3 m. What is the area (in $$m^{2}$$, to the nearest whole number) of the path? (Taken $$\pi = \frac{22}{7}$$)
A college hostel mess has provisions for 25 days for 350 boys. At the end of 10 days, when some boys were shifted to another hostel, it was found that now the provisions will last for 21 more days. How many boys were shifted to another hostel?
If $$x^{2}+\frac{1}{x^{2}}=18, x>0$$, then find the value of $$x^{3}+\frac{1}{x^{3}}$$
Given below are four sentences which are jumbled. Pick the option that gives their correct order.
A. The sectors included agriculture, public health and public utilities among others.
B. The GGI framework covered 10 sectors and 58 Industries.
C. The Good Governance Index (GGI) 2021scores have been declared.
D. The objective was to provide quantifiable data to compare the performance of different States and Union Territories in these sectors.
Identify the segment in the sentence which contains the grammatical error.
Alex picked up the boxes quite easily even they were heavy.
Select the most appropriate ANTONYM of the given word.
Pliable
Select the option that can be used as a one-word substitute for the given group of words.
Easily hurt emotionally
The following sentence has been divided into parts. One of them may contain an error.
Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer.
This hall is / badly to need / of repair.
Select the most appropriate option to fill in the blank.
The latest ______ I have bought is a dishwasher.
The following sentence has been split into segments. One of them may contain an error.
Identify the segment that contains a grammatical error. If you don’t find any error, mark ‘No error’ as your answer.
Sunil refused to / attend the meeting / of association on Saturday.
Select the option that expresses the given sentence in indirect speech.
She said to him, “May God shower His choicest blessings on you!
Select the most appropriate synonym of the given word.
Robust
Select the most appropriate meaning of the given idiom.
On purpose
Select the most appropriate synonym of the given word.
Saucy
Identify the segment in the sentence which contains a grammatical error.
My friends are gone on a trip to Goa today.
Select the option that expresses the given sentence in passive voice.
She is holding free classes for the poor.
Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
As I am hearing the lecture it reminded me of a book I had read two years ago.
Select the most appropriate meaning of the given idiom.
Smooth sailing
Select the most appropriate ANTONYM of the given word.
Brittle
Select the option that can be used as a one-word substitute for the given group of words.
A group of people
Select the INCORRECTLY spelt word.
Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
This is one of the most remarkable cases of all others.
Select the option that expresses the given sentence in passive voice.
Ask him to leave the room.
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 number.
I decided to stay away from television (1) ______ a whole year. After a week, I started feeling (2) ______. But, my friend Bess cheered me up. She (3) ______ me every day and would take me places. It was (4) ______ how much fun we had without TV. My life had become more (5) ______ without the good old idiot box.
Select the most appropriate option to fill in blank number 1.
Select the most appropriate option to fill in blank number 2.
Select the most appropriate option to fill in blank number 3.
Select the most appropriate option to fill in blank number 4.
Select the most appropriate option to fill in blank number 5.
Educational materials for CAT preparation
