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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:
All rabbits are cows.
Some rabbits are cats.
Conclusions:
I. All cats are rabbits.
II. Some cows are rabbits.
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
BEC, CID, FOG, KUL, ?
Select the Venn diagram that best represents the relationship between the following.
Living organisms, Omnivores, Deer, Planet
Select the correct mirror image of the given figure when the mirror is placed at 'AB' as shown.
Three years ago, the difference between the age of Ravish and the age of Kailash was 18 years. Three years from today, Ravish will be three times as old as Kailash. What is the present age of Ravish (in years)?
Select the number from among the given options that can replace the question mark (?) in the following series.
35, 54, 77, 106, 137, ?
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
LJV, NMR, PPN, RSJ, ?
In a certain code language, 'COLOUR' is written as 'FQOQXT' and 'VIOLET' is written as 'YKRNHV'. How will 'PURPLE' be written in that language?
In a certain code language, ‘LILY’ is coded as 116, and ‘LOTUS’ is coded as 174. How will ‘TULIP’ be coded in that language?
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.
If '@' means 'addition', '%' means 'multiplication', '$' means 'division', and '#' means 'subtraction', then find the value of the following expression.
9 @ 114 $ 19 % 5 # 21
Select the option in which the given figure is embedded (rotation is OT allowed).
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.
LGS : PLY :: MKB : ?
Which of the option figures, when rotated $$135^\circ$$ clockwise followed by $$45^\circ$$ anticlockwise, will result in the given question figure?
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
14 21 165
13 19 ?
10 17 99
Select the option that is related to the third number in the same way as the second number is related to the first number.
3824 : 4935 : : 5716 : ?
Six numbers, 5, 10, 15, 20, 25 and 30, are written on different faces of a dice. Two positions of this dice are shown.
Select the number that will be on the face opposite to the face having the number '15'.
Select the number from among the given options that can replace the question mark (?) in the following series.
9, 38, 154, 618, ?
In a certain code language, ‘she needs some medicines’ is written as ‘1542’, ‘take some water’ is written as ‘849’, ‘he needs rest’ is written as ‘713’, and ‘she is water’ is written as ‘269’. How will ‘take medicines’ be written in that language?
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?
$$45 \div 15 \times 5 + 15 −11 = 39$$
Niraj is the father of Rinku. Jiya and Tiya are the daughters of Ruby, who is the only sister of Rinku. Vishnu is the son of Rinku and Gita. How is Niraj related to Tiya?
Select the correct option that indicates the arrangement of the given words in a logical and meaningful order.
1. Recording
2. Rehearsal
3. Viewers
4. Script
5. Video Editing
The sequence of folding a piece of paper (figures i and ii) and the manner in which the folded paper has been cut (figure
iii) is shown in the following figures. Select the option that would most closely resemble the unfolded form of figure
(iii).
Six children, G, H, I, J, K, and L, are sitting around a circular table facing towards the centre. J and K are sitting to the immediate left and right of G, respectively. L is sitting to the immediate left of J, but not to the immediate right of H. Who is sitting to the immediate right of K?
Who among the following is an Indian professional tennis player?
Who among the following leaders of Indian Freedom Movement gave the slogan ‘Freedom is my birthright and I shall have it’?
Which of the following titles was held by Prince Phillip, the late husband of Queen Elizabeth II, until his death in April 2021?
Irrespective of the source, pure water contains ______ of oxygen by mass.
In May 2020, the Government of India announced a special economic and comprehensive package equivalent to ______ of India’s GDP under Atmanirbhar Bharat Abhiyan.
Organisms belonging to the phylum ______ are also called ‘flatworms’.
The ______ Amendment Act of the Constitution of India introduced the Goods and Services Tax (GST) in India.
Mountaineers refer to altitudes above about ______ metres as the ‘death zone’.
As per National Family Health Survey 5, ______ is the only state with a sex ratio at birth for children born in the last five years (urban + rural), above 1,000.
The Central Board of Directors of the Reserve Bank of India are appointed for a term of ______ years.
Which of the following pairs of Indian revolutionaries and organisations is CORRECTLY paired?
______ ranked first on Forbes’ list of ‘Highest-Paid Female Athletes 2020’.
‘Hypnea indica’ and ‘Hypnea bullata’ are types of :
Who among the following persons is NOT a co-author of the book 'Till We Win: India's Fight Against the Covid-19 Pandemic'?
______ is an environmental policy under which producers are given a significant responsibility - financial and/or physical - for the treatment or disposal of products that are no longer useful to the consumer.
The system of MSP (Minimum Support Price) was first introduced for ______ in 1966-67 and later expanded to include other essential food crops.
______ is an annual three-day festival held at Bara Shaheed Dargah in Nellore.
In which of the following forts was Razia Sultan imprisoned by Malik Ikhtiyar-ud-din Altunia?
______ was among 12 people chosen for the ‘International Anti-Corruption Champions Award’ constituted by the United States Department of State in February 2021.
Carbon monoxide contains approximately ______ of oxygen for each 1.00 g of carbon.
Which of the following rivers flow through both the states, West Bengal and Sikkim?
One mole of an ideal gas occupies a volume of ______ litre at 273 K and 1 atm pressure.
In which of the following years Motilal Nehru along with eight other congress leaders drafted a Constitution for India?
Which of the following is a folk song genre popular in parts of West Bengal, Assam and Bangladesh?
Article ______ of the Indian Constitution states that ‘there shall be a Commission for the socially and educationally backward classes to be known as the National Commission for Backward Classes’.
The length of a wire (in cm) of 0.1 mm radius that can be drawn from melting a solid copper sphere of diameter 6 cm is:
Find the value of the following expression:
$$\frac{1\frac{2}{3} \div \frac{5}{6} \times 6 + \frac{4}{5} \times \frac{1}{2} + \frac{2}{3}}{2-\left[1\frac{1}{3}\times\left(-\frac{3}{5}\right)-6\left\{\frac{3}{5}-\left(3-\frac{3}{10}\right)\right\}\right]}$$
If $$\cot^{2}\alpha + \tan^{2}\alpha = 2, 0^\circ \leq \alpha \leq 90^\circ$$, then find the value of a
What is the angle of elevation of the sun when the shadow of a 9-m high pole is $$3\sqrt{3}$$ m long?
The following bar graph shows receipts and expenditure by a business firm over 5 years. Gain = Receipts-
Expenditure.
In which year did the company gain the maximum amount?
What is the compound interest (in ₹) at the rate of 10%, compounded annually, for 3 years on the principal which in 8years at the rate of 12% per annum gives ₹14,800 as simple interest?
The given histogram represents the marks of students in Mathematics test of a certain class.
The total number of students is 350 and the maximum marks of the test are 200.
Study the graph and answer the question that follows .
The total number of students whose marks are less than 100 is what percentage (correct up to one place of decimal) less than the total number of students whose marks are 120 and above?
20 men can finish a work in 30 days. They started working, but 4 men left the work after 10 days. In how many days would the work be completed?
Two successive discounts of 20% and 25% on the marked price of an article are equal to a single discount of ₹250. If the marked price of the article is 25% above the cost price, the cost price (in ₹) of the article is:
Performance of 1800 students in grades has been shown in the following pie chart.
How many students have got either grade D or grade E?:
If $$\left(x + y\right)^{3} - \left(x - y \right)^{3} - 3y\left(2x^{2} - 3y^{2}\right) = ky^{3}$$ , then find the value of k.
The bar graph shows the number of people who visited Mall A and Mall B on different days of a week.
What is the ratio of the number of people visiting Mall A on Thursday. Saturday and Sunday together to the number of people visiting Mall B on these three days together?
In a triangle ABC, the bisector of angle BAC meets BC at point D such that DC = 2BD. If AC - AB = 5 cm, then find
the length of AB (in cm).
A shopkeeper bought 60 pencils at a rate of 4 for ₹5 and another 60 pencils at a rate of 2 for ₹3. He mixed all the pencils and sold them at a rate of 3 for ₹4. Find his gain or loss percentage.
In a circle with centre O and of radius 13 cm, two parallel chords are drawn on different sides of the centre. If the length of one chord is 10 cm and the distance between the two chords is 17 cm, then find the difference in lengths of the two chords (in cm).
A and B entered into a partnership with certain investments. At the end of 8 months, A withdrew and collected back his money. A and B received profit in the ratio 5 : 9 at the end of the year. If B bad invested ₹36,000, then how much (in ₹) had A invested?
A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?
Simplify the following expression:
$$\frac{\cos A}{1-\tan A} + \frac{\sin A}{1- \cot A} - \sin A$$
In a right-angled triangle, the lengths of the medians from the vertices of acute angles are 7 cm and $$4\sqrt{6}$$ cm. What is the length of the hypotenuse of the triangle (in cm)?
Find the greatest 3-digit number which , when divided by 3, 4, 5 and 8, leaves remainder 2 in each case.
The average of twelve numbers is 42. The average of the last five numbers is 40, and that of the first four numbers is 44. The sixth number is 6 less than the fifth number and 5 less than the seventh number. The average of the sixth and seventh numbers is:
AB is a chord of a circle with centre O.C is a point on the circumference of the circle in the minor sector. If $$\angle$$ ABO = $$40^\circ$$. what is the measure (in degree) of $$\angle$$ ACB?
If a + b + c = 11 and ab + bc + ca = 28 , then find the value of $$a^{3} + b^{3} + c^{3} - 3abc$$.
Akhil rides first 12 km at a speed of 16 km/h and further 6 km at a speed of 20 km/h. Find his average speed (in km/h).
Find the value of k such that the number k53206k is divisible by 6.
Select the most appropriate meaning of the given idiom.
A snake in the grass
Select the most appropriate ANTONYM of the given word.
Famished
Select the option that expresses the given sentence in direct speech.
The guard told the children to stay away from the flower beds.
Select the correct active voice of the given sentence.
The watchman has been bitten by a stray dog.
Select the most appropriate ANTONYM of the given word.
Feeble
Select the INCORRECTLY spelt word.
Select the most appropriate synonym of the given word.
Tranquil
Sentences of a paragraph are given below in jumbled order. Arrange the sentences in
the correct order to form a meaningful and coherent paragraph.
A. They always shared machinery and goods as needed without a hitch.
B. Then they had the first serious quarrel in 40 years of farming side by side.
C. And unfortunately, the long collaboration fell apart.
D. Two brothers lived on adjoining farms in a small village.
Select the option that can be used as a one-word substitute for the given group of words.
Able to be happy, successful, etc. again after something difficult or bad has happened
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’.
Hardly had we get in but the train started.
Select the most appropriate synonym of the given word.
Arid
Select the option that can be used as a one-word substitute for the given group of words.
An animal with a spinal cord
Select the most appropriate option to fill in the blank.
They called Mohan a ______ because he did not want to go into the dark lane.
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.
A shop nearby / sell all the goods / of daily use.
Select the most appropriate meaning of the given idiom.
Blow your own trumpet
Identify the segment in the sentence which contains the grammatical error.
Smita lived in this house since she was five years old.
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.
He was formerly / a doctor of / the corporate hospital.
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’.
I can’t make out my mind about taking a vacation in winter.
Select the option that expresses the given sentence in active voice.
I have been informed of their decision.
Identify the segment in the sentence which contains the grammatical error.
Our team have won the match.
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
A banker taped a picture, drawn by one of his small children, to his office wall. When he 1. ______ at work the next morning, he found the 2. ______ was covered by a 3. ______ notice, saying he was in 4. ______ of company policy which required personal items to be put away at night. 5. ______ a reaction was not just petty, it risked demotivating the banker completely. In short, it defied common sense.
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
