The sum of two numbers is 7 and the sum their squares is 23, their product is equal to:
SSC CHSL 24 March 2018 Afternoon Shift
For the following questions answer them individually
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The difference between two numbers is 1146. When we divide the larger number by smaller we get 4 as quotient and 6 as remainder. Find the larger number.
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Find the value of $$n+n+\frac{3n}{2}+\frac{9n}{4}+.........\infty$$
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If $$2x^2+2y^2=4a$$, then find the value of $$\frac{2a}{x^2-a}+\frac{2a}{y^2-a}$$
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Choose the CORRECT option if the two sides of a triangle is of length 4 cm and 10 cm and the length of its third side is a cm.
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An isosceles triangle ABC has sides AB = AC. If side BA is produced to D in such a manner that AC = AD. Then what will be the measure of angle BCD?
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Rahul’s salary is 40% of Mohit’s salary. If Rahul’s salary is increased by 60% and Mohit’s salary is decreased by 20%, then Rahul’s salary will be how much percentage of Mohit’s salary?
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Rs. 7750 is divided among X, Y and Z such that 3 times of X’s share is equal to 5 times of Y’s share which is equal to 2 times of Z’s share. What is the share (in Rs) of Z?
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Lokesh starts a business with Rs. 240000. After 3 months Vishal joins him with Rs 210000. At the end of the year what will be the ratio of their profit?
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The average weight of two players P and Q of a football team is 38 kg. The average weight of P, Q and their coach T is 49 kg. What is the weight (in kg) of coach?
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A sum of Rs 1200 amounts to Rs 1740 in 3 years at simple interest. If rate of interest is increased by 3%, then what will be the new amount (in Rs)?
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If cost price of an article is 75% of its selling price, then what will be the profit percentage?
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The marked price of an article is $$\frac{10}{7}$$ of the cost price and the selling price of that article is $$\frac{4}{5}$$ of the marked price. What is the profit percentage?
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If $$x=[\frac{1}{(\sqrt{5}+\sqrt{3})}], y=[\frac{1}{(\sqrt{7}+\sqrt{5})}]$$ and $$z=[\frac{1}{(\sqrt{7}+\sqrt{3})}]$$, then what is the value of (x+y+z) ?
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50 men can complete a work in 28 days. They started the work together, but at the end of each $$10^{th}$$ day, 10 men left the job. The work was completed in how many days?
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The distance between places U and V is 1008 km. An express train leaves place U at 9:00 a.m. and runs at a speed of 126 km/hr. The train stops on the way for 20 minutes. At what time (in p.m.) the train will reach at the place V?
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The bar graph shows the number of employees working in the different departments of a company. Study the diagram and answer the following questions.
Which department has the lowest number of employees?
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What is the ratio of number of employees of department A to that of department F?
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The number of employees of department G are greater than those of department C by ___________.
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If the average compensation of an employee of department A is Rs 40,000 per month, then what is the total compensation (in Rs lakhs) of all employees of department A per month?
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For the following questions answer them individually
If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter (in cm).
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The area of a semicircle is $$308 cm^2$$ . Calculate its perimeter (in cm).
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Find the volume $$(in cm^3)$$ of a sphere of diameter 42 cm.
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What is the value of $$(\frac{2}{\sqrt{3}}+tan45^\circ)$$ ?
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∆PQR is right angled at Q. If $$cot P = \frac{5}{12}$$, then what is the value of $$tan R$$ ?
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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'.
Each nation aspire to do well, (1)/ but there are glaring economical (2)/ inequalities between them. (3)/ No error (4)
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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'.
It is easy to fall victim (1)/ not only to those who may hurt or mistreats us, (2)/ but also to our own anger. (3)/ No error (4)
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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.
She does not agree, and ______ does Anita.
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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.
Many lost dogs ______ been given back to their owners.
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In the following question, out of the given four alternatives, select the one which best expresses the meaning of the given word.
Empirical
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In the following question, out of the given four alternatives, select the one which best expresses the meaning of the given word.
Austerity
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In the following question, out of the given four alternatives, select the one which is opposite in meaning of the given word.
Guile
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In the following question, out of the given four alternatives, select the one which is opposite in meaning of the given word.
Objective
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Rearrange the parts of the sentence in correct order.
The whole biosphere, like
P : a chemically dynamic state
Q : the individual organisms that
R : live inside it, exists in
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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 teacher should check the homework.
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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.
The lawyer said to them, “Call the witness.”
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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.
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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.
Change is more often than _________ the trigger for struggles in the leadership arena. Leaders usher _____________ organisational change, which creates a natural tension as the status quo fights back. With various factors in the mix, _________ imbalance is created that impacts leaders and followers in multiple and varying ways. ___________, the leader gets the roughest edge as he is seemingly the most ‘______________’ one.
often than _________ the trigger for struggles
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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.
Change is more often than _________ the trigger for struggles in the leadership arena. Leaders usher _____________ organisational change, which creates a natural tension as the status quo fights back. With various factors in the mix, _________ imbalance is created that impacts leaders and followers in multiple and varying ways. ___________, the leader gets the roughest edge as he is seemingly the most ‘______________’ one.
Leaders usher _____________ organisational change,
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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.
Change is more often than _________ the trigger for struggles in the leadership arena. Leaders usher _____________ organisational change, which creates a natural tension as the status quo fights back. With various factors in the mix, _________ imbalance is created that impacts leaders and followers in multiple and varying ways. ___________, the leader gets the roughest edge as he is seemingly the most ‘______________’ one.
factors in the mix, _________ imbalance is create
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.
Change is more often than _________ the trigger for struggles in the leadership arena. Leaders usher _____________ organisational change, which creates a natural tension as the status quo fights back. With various factors in the mix, _________ imbalance is created that impacts leaders and followers in multiple and varying ways. ___________, the leader gets the roughest edge as he is seemingly the most ‘______________’ one.
multiple and varying ways. ___________, the leader
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.
Change is more often than _________ the trigger for struggles in the leadership arena. Leaders usher _____________ organisational change, which creates a natural tension as the status quo fights back. With various factors in the mix, _________ imbalance is created that impacts leaders and followers in multiple and varying ways. ___________, the leader gets the roughest edge as he is seemingly the most ‘______________’ one.
as he is seemingly the most ‘______________’ one.
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In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Kitty-corner
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In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.
Never-never land
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In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.
Extreme self-confidence or audacity
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In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.
Portray in words
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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".
Cyclones (was identified) by the year of their occurrence, and remembered for the devastation they caused.
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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 art of movement (has been), in complicated ways, been culture-driven.
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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.
People used to preserve
A-companionship in absentia
B-letters for years as these humble pieces
C-of paper afforded
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In the following question, four words are given out of which one word is correctly spelt. Select the correctly spelt word.
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In the following question, select the related word pair from the given alternatives.
Grandmother : Female : : ? : ?
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In the following question, select the related number from the given alternatives.
695 : 659 : : 839 : ?
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In the following question, select the related letter/letters from the given alternatives.
CPR : ERT : : DQS : ?
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In the following question, select the odd word pair from the given alternatives.
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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 options.
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In the following question, select the odd letter/letters from the given alternatives.
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Arrange the given words in the sequence in which they occur in the dictionary.
1. Whimper
2. Where
3. Wherever
4. Wedding
5. Wednesday
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In the following question, select the missing number from the given series.
54, 51, 48, 45, 42, ?
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A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
PRQ, NPO, LNM, ?, HJI
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Six family members Pankaj, Gopi, Chetan, Dinesh, Akash and Vyom are standing around a circular table. Gopi is between Vyom and Chetan. Pankaj is between Akash and Dinesh. Vyom is to the immediate right of Dinesh. Who is opposite to Dinesh?
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From the given alternatives, select the word which CANNOT be formed using the letters of the given word.
Demonstration
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In a certain code language, “CUDGEL” is written as “FYGKHP”. How is “DAINTY” written in that code language?
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In a certain code language, 'x' represents '+', '÷' represents 'x', '-' represents '÷' and '+' represents '-'. Find out the answer to the following question.
$$15 \times 4 \div 35 - 70 + 16 = ?$$
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The following equation is incorrect. Which two signs should be interchanged to correct the equation?
$$15 \times 12 + 40 \div 40 - 6 = 21$$
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If 7%8 = 30, 4%3 = 14 and 4%9 = 26, then find the value of 1%8 = ?
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Which of the following terms follows the trend of the given list?
XYXXXXX, XXYXXXX, XXXYXXX, XXXXYXX, XXXXXYX, _______________.
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Abhay and Chintan are riding their motorcycles. They start from the same point. Abhay rides 7 km North, then turns to his left and rides 4 km. In the meanwhile Chintan rides 6 km West, then turns North and rides 7 km, then turns to his left and rides 8 km. Where is Abhay with respect to Chintan?
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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 cells are chargers
Statement II: All batteries are cells
Conclusion I: Some chargers are batteries
Conclusion II: All batteries are chargers
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In the following figure, rectangle represents Doctors, circle represents Essayists, triangle represents Cooks and square represents Europeans. Which set of letters represents Essayists who are not Cooks?
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A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
UPM, BWT, IDA, PKH, ?
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In the following question, select the missing number from the given series.
102, 85, 68, 51, ?
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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.
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If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?
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Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?
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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 20, 41 etc and T can be represented by 89, 85 etc. Similarly, you have to identify the set for the word 'CORN'.
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Income and consumption are ___________.
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When was the Consumer Protection Act (COPRA) passed?
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Which of the following Neolithic sites gives evidence of trough residence?
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Which of the following medieval rulers was called 'Jagat Guru'?
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Which port is located at the northern end of the Panama Canal?
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Which of the following pairs is NOT correctly matched?
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The term "Anuvrata" is associated to which religion?
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World's first green Islamic bond was issued by which country?
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Who among the following won the best actor award in the 48 th International Film Festival of India (IFFI), organized in November 2017 at Panji, Goa?
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The international border of Myanmar is the longest with which country?
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Isotones have always ______.
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Atomic bomb is based on which principle?
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The ______ is a key factor in making the Gram Panchayat play its role and to be responsible.
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In India, who appoints ministers at state level?
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The terminal part of the carpel in a flower, which may be sticky is ______.
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Which chemical is present in the cells of cork of tree which makes them impervious to gases and water?
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In December 2017, Indian Railways announced to equip all trains with Bio-Toilets by _____
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Artificial Intelligent robot named Shelley developed by the MIT media lab writes which type of stories?
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In November 2017, RBI simplified ‘FEMA’ by putting all amendments under one notification. What does ‘E’ stand for in ‘FEMA’?
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Under which campaign the Government had launched 100 accessible website of various State Government/UTs on 19 January, 2018 for divyangjans?
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Find the current (in A) when a charge of 1200C flows in 6 seconds.
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In a ___________________ wave particles of the medium vibrate in a direction perpendicular to the direction of wave propagation.
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The polar ice-caps are made of ____________ water.
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Which of the statements given below are correct?
A) Georgia hosted the 2017 U-18 Baseball World Cup.
B) In 2017, David Warner captained the IPL team Kings XI Punjab.
C) In 2017, Jamie Vardy played for the Premier League team Manchester United.
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In HTML, ___________ tag is used to construct drop-down list boxes and scrolling list boxes.
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