Two numbers A and B are such that the sum of 3% of A and 6% of B is four-fifths of the sum of 4% of A and 6% of B. Find the ratio of A + B and A − B.
SSC CGL 23rd August 2021 Shift-1
For the following questions answer them individually
Select the option that is related to the third word in the same way as the second word is related to the first word.
Toothpaste : Teeth :: Broom : ?
The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
PND, QKI, RHN, SES, ?
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.
In a certain code language, ‘PAWAN’ is written as ‘SCZCQ’ and ‘SOHAM’ is written as ‘VQKCP’. How will ‘KIRAN’ be written in that language?
Select the number from among the given options that can replace the question mark (?) in the following series.
11, 13, 19, 49, 109, 239, ?
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the equation.
25 * 7 * 40 * 20 * 4 * 210
Select the cubes that can be formed by folding the given sheet along the lines.
Select the figure from among the given options that can replace the question mark (?) in the following series.
Find the number of triangles in the given figure.
Select the option in which the numbers are NOT related in the same way as are the numbers of the following set.
(63, 76, 46)
In the given diagram, the circle represents ‘teachers’, the triangle represents ‘dancers’ and the rectangle represents ‘writers’. Study the given diagram carefully and answer the question that follows.
What is the number of teachers who are writers, but NOT dancers?
Select the correct option that indicates the arrangement of the given words in the order in which they appear in an English dictionary.
1. Sensational
2. Sensitize
3. Sentiment
4. September
5. Sentence
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
G_CT_GP_T_GPC_D_PC_D
Four words have been given, out of which three are alike in some manner and one is different. Select the word that is different.
Read the given information carefully and answer the question that follows.
‘K $ D’ means ‘K is the father of D’.
‘K < D’ means ‘K is the wife of D’.
‘K > D’ means ‘K is the daughter of D’.
‘K @ D’ means ‘K is the son of D’.
How is S related to N in the expression ‘H > R $ S@T > N’?
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 teachers are doctors.
Some professors are doctors.
All professors are engineers.
Conclusions:
I. All professors are doctors.
II. Some doctors are engineers.
III. Some teachers are engineers.
IV. Some teachers are professors.
Select the option figure in which the given figure is embedded (rotation is NOT allowed).
Select the option in which the numbers are related in the same way as are the numbers of the following set.
(4, 282, 5)
Select the option in which the words share the same relationship as that shared by the given pair of words.
Help : Hinder
Select the option that is related to the third number in the same way as the second number is related to the first number.
39 : 91 : : 51 : ?
Select the correct mirror image of the given combination when the mirror is placed at 'PQ' as shown.
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
In a certain code language, 'LOWER' is coded as '186' and 'MULISH' is coded as '320'. How will 'OPTIONAL' be coded in that language?
Mukhyamantri Bagayat Vikas Mission (Horticulture Development Mission) scheme was launched by which of the following state governments in January 2021?
The area served by a canal system through supply of water for irrigation and other purposes is called a ______.
When a river originates from a hill and flows in all directions, the drainage pattern is known as ______.
At which of the following places was the ‘Street Theatre and Performing Arts Fellowship’ scheme launched in January 2021 to give artists an opportunity to showcase their craft?
Which of the following liquids has the highest pH?
Which of the following books is authored by Dalai Lama and launched by him in February 2021?
In which of the following years was the micro-credit scheme ‘Street Vendor's AtmaNirbhar Nidhi’ (‘PM SVANidhi’) launched?
What do you call the property of an organism of self-regulation and the tendency to maintain a steady state within an external environment which is liable to change?
______ boundaries occur when plates collide and one plate is pushed under the other.
Muhammad Ghori attacked Tabarhinda (Bhatinda) in 1191, a strategic point for ______.
Which Schedule of the Indian Constitution demarcates the powers of the Union and the States, that is Union List, State List and Concurrent List?
G20 Leaders’ Summit 2020 was held virtually on 20th and 21st November 2020 and was presided by______.
Which of the following plant hormones regulates growth, particularly by stimulating cell elongation in stems?
Which book written by Douglas Stuart won him the Booker Prize 2020?
According to Ashokan edicts, how many years after becoming the king did Ashoka wage war on Kalinga?
The Indian Forest Act 1927 was enacted after repealing which of the following Indian forest acts?
Where is the headquarters of the Badminton World Federation located?
Henry Moniz has been appointed as the first-ever Chief Compliance Officer of which of the following tech giants in January 2021?
One of the major events of Ashoka’s reign was the convening of the ______ Buddhist Sangha (council) in 250 BCE in the capital Pataliputra.
Who among the following was the first Indian badminton player to qualify for two events - mixed doubles and women’s doubles - in the Olympics?
Which of the following organizations releases the Global Innovation Index?
'Panche' is a traditional sarong worn by the men in the state of ______.
In medicine, ______ is a device such as a small metal plate or needle that carries electricity from an instrument to a patient for treatment or surgery.
All the non-zero vectors are called ______.
According to which of the following Articles of the Constitution of India shall a Money Bill not be introduced in a Legislative Council?
A sum of ₹25600 is invested on simple interest partly at 7% per annum and the remaining at 9% per annum. The total interest at the end of 3 years is ₹5832. How much money(in ₹) was invested at 9% per annum?
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Study the following table and answer the question:
Percentage of marks obtained by six students in five subjects A, B, C, D & E.
The average marks of Manju, Rekha and Abhi in subject B are?
Solution
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Radha saves X % of her income. If her income increases by 28%and the expenditure increases by 20%, then her savings increase by 40%. What is the value of x ?
Study the following table and answer the question:
Percentage of marks obtained by six students in five subjects A, B, C, D & E.
Total marks obtained by Amit, Abhi and Anuj in subject E is what percent more than the total marks obtained by all the six students in subject B? (correct to one decimal! place)
If $$8 + 2px^2 - 36x - 27^3 = (2 - 3x)^3$$, then what is the value of p?
Pipes A and B can fill a tank in 12 hours and 16 hours respectively and pipe C can empty the full tank in 24 hours. All three pipes are opened together, but after 4 hours pipe B is closed. In how manyhours, the empty tank will be completely filled?
Fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of k?
Solution
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If $$\sin^2 \theta - \cos^2 \theta - 3 \sin \theta + 2 = 0, 0^\circ < \theta < 90^\circ$$, then what is the value of $$\frac{1}{\sqrt{\sec \theta - \tan \theta}}$$ is:
Solution
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Table shows the number of trees planted in 4 cities from 2016 to 2020.
In which city were maximum trees planted in 2016 and 2019 taken together?
Solution
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In festival season, a shopkeeper allows a discount of 10% on every item. Even after giving the discount, he makes a profit of 20%. If he does not give any discount, then what will be his profit percent? (correct to 2 decimal places)
Solution
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If the 5 - digit number 593ab is divisible by 3, 7 and 11, then whatis the value of $$(a^2 - b^2 + ab)$$?
In $$\triangle$$ABC, $$\angle$$A = 50$$^\circ$$. If the bisectors of the angle B and angle C, meet at a point O, then $$\angle$$BOC is equal to:
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Find the value of $$\frac{\tan^2 30^\circ}{\sec^2 30^\circ} + \frac{\cosec^2 45^\circ}{\cot^2 45^\circ} - \frac{\sec^2 60^\circ}{\cosec^2 60^\circ}$$
Solution
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In an examination, the average score of a student was 67.6. If he would have got 27 more marks in Mathematics, 10 more marks in Computer Science, 18 more marks in History and retained the same marks in other subjects, then his average score would have been 72.6. How may papers were there in the examination?
Solution
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If $$2x^2 - 7x + 5 = 0$$, then what is the value of $$x^3 + \frac{125}{8x^3}$$?
Solution
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Simplify the following expression:
$$7 \times 4 \div 21 \text{of} 4 - 5 \div 4 \times (9 - 13) + 2 - 2 \div 8$$
Solution
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In triangle ABC, AD is the bisector of $$\angle A$$. If AB = 5 cm, AC = 7.5 cm and BC = 10 cm, then whatis the distance of D from the mid-point of BC (in cm)?
A fruit merchant bought some bananas. Onefifth of them got rotten and were thrown away. Hesold two fifth of the bananas with him at 15% profit and the remaining bananasat 10% profit. Find his overall loss or profit percent?
Vertices A, B, C and D of a quadrilateral ABCD lie on a circle. $$\angle$$A is three times $$\angle$$C and $$\angle$$D is two times $$\angle$$B. What is the difference between the measures of $$\angle$$D and $$\angle$$C?
Solution
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Table shows income(in Rs) received by 4 employees of a company during the month of December 2020 and the income sources.
Whose income from all sources except salary is more than 25% of his salary?
The area of a square shaped field is 1764 m$$^2$$. The breadth of a rectangular park is $$\frac{1}{6}$$th of the side of the square field and the length is four times its breadth. What is the cost (in ₹) of levelling the park at ₹30 per m$$^2$$ ?
Solution
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A circle is inscribed in a quadrilateral ABCD, touching sides AB, BC CD and DA at P, Q, R and S,respectively. If AS = 6cm, BC = 12 cm, and CR =5 cm,then the length ofAB (in cm) is:
If x is a real quantity, whatis the minimum value of $$(25 \cos^2 x + 9 \sec^2 x)$$
If $$x + \frac{1}{x} = \frac{17}{4}, x > 1$$, then what is the value of $$x - \frac{1}{x}?$$
Solution
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A boat covers a roundtrip journey between twopoints A and B ina river in T hours.If its speed in still water becomes 2 times, it would take $$\frac{80}{161}T$$ hours for the same journey. Find the ratio of its speed in still water to the speed of the river.
Select the most appropriate synonym of the given word.
Absolve
Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the right order to form a meaningful and coherent paragraph.
A. Information Communication Technology tools have brought in additional changes along with means of communication.
B. These changes have enabled man to communicate faster.
C. Communication has not only become faster but easier too.
D. The result is a more relaxed life than ever before.
Select the option that can be used as a one-word substitute for the given group of words.
The state of being subject to death
The following sentence has been divided into parts. One of them contains an error. Select the part that contains the error from the given options.
The army / marched fearless / towards / the enemy cantonment.
Select the most appropriate meaning of the given idiom.
On cloud nine
Select the INCORRECTLY spelt word.
Select the option that expresses the given sentence in passive voice.
He gave Kaveri a beautiful yellow dress.
Select the most appropriate option to fill in the blank.
The government has hardened its ______ against the agitators and imposed a curfew in the area.
Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select ‘No substitution’.
What were the examples that the writer gave to proved his point?
Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select ‘No substitution’.
If you are not able to go out, did not worry.
Select the option that expresses the given sentence in indirect speech.
The counter clerk asked the visitor, “What is your name?”
Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the right order to form a meaningful and coherent paragraph.
A. Inspector: “Were you sleeping when the robbers entered the bank?”
B. Guard: “The iron grill lock was broken and the bank looked ransacked but the robbers could not take away anything as I had returned quickly.”
C. Inspector: “What did you see when you came back?”
D. Guard: “No Sir. The bank had closed and I had just gone to relieve myself.”
The following sentence has been divided into parts. One of them contains an error. Select the part that contains the error from the given options.
Several prominent film stars / have appeared on television / on behalf of awareness / about hand hygiene.
Select the most appropriate option to fill in the blank.
We are bewildered by the power which science has suddenly placed in our laps, and we are ______ by the realisation of our unpreparedness to deal with a crisis.
Select the most appropriate ANTONYM of the given word.
Harmony
Select the most appropriate synonym of the given word.
Banner
Select the option that can be used as a one-word substitute for the given group of words.
A musical composition made up of a series of songs or short pieces
Select the most appropriate meaning of the given idiom.
Draw the line at something
Select the INCORRECTLY spelt word.
Select the most appropriate ANTONYM of the given word.
Fecund
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:
Almost everyone in the present world is familiar with the term ‘Global Warming’. It (1)______ to the gradual rise in the overall temperature of the atmosphere (2)______ the planet Earth. It is true that there are (3)______ activities taking place which have been increasing the temperature (4)______. The first impact of global warming is melting of (5)______ in a rapid way. This is extremely harmful to the earth as well as to its inhabitants.
Select the most appropriate option to fill in blank no.1.
Select the most appropriate option to fill in blank no.2.
Select the most appropriate option to fill in blank no.3.
Select the most appropriate option to fill in blank no.4.
Select the most appropriate option to fill in blank no.5.
