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Find the minimum number of straight lines to make the given figure.
Minimum required straight lines are  AB, AC, BC, AH, BD, CD, EF, EG, FH, GH, FG, FM, MG, IK, KL and LJ.
Total = 16
If 1.96 of 1.2 of a = 3.43 of 1.6 of b. Find b: a.
1.96 of 1.2 of a = 3.43 of 1.6 of b
1.96 x 1.2 x a = 3.43 x 1.6 x b
3a = 7b
b: a = 3: 7
Following bar graph shows the sales of clothes of 3 Brands: Levi's, Lee Cooper and Spykar in Central Mall in Bangalore for the months of October, November and December.
For all 3 months, what is the difference between the sum of the number of Levi's and Spykar clothes sold and the number of Lee Cooper clothes sold?
= 1500 + 1000 + 1000 + 1800 + 2000 + 1500 = 8800
number of Lee Cooper clothes sold
1200 + 1500 + 1800 = 4500
Difference = 8800  4500 = 4300
What will come in place of (?) in this equation?
? ÷ [(5/12) of (12/25) of 125 ÷ {√(21 + √16)/2}] = ? + 3
x ÷ [(5/12) of (12/25) of 125 ÷ {√(21 + √16)/2}] = x + 3
⇒ x ÷ [(5/12) of (12/25) of 125 ÷ {√(21 + 4)/2}] = x + 3
⇒ x ÷ [(5/12) of (12/25) of 125 ÷ {√(25)/2}] = x + 3
⇒ x ÷ [(5/12) of (12/25) of 125 ÷ {5/2}] = x + 3
⇒ x ÷ [25 ÷ 2.5] = x + 3
⇒ x/10 = x + 3
⇒ x = 10x + 30
⇒ x = −10/3
How many triangles are present in the given figure?
There are 9 triangles in the given figure.
Triangles are  ABE, ADE, BLM, BCM, DEJ, DJI, FHM, FGM, HLM.
Calculate the difference between mean deviation and variance of given numbers.
3, 6, 8, 1, 4, 6, 4, 2, 2, 4
Mean = (3 + 6 + 8 + 1 + 4 + 6 + 4 + 2 + 2 + 4)/10 = 4
Now, distance of each numbers from their mean are:
4  3 = 1
6  4 = 2
8  4 = 4
4  1 = 3
4  4 = 0
6  4 = 2
4  4 = 0
4  2 = 2
4  2 = 2
4  4 = 0
Mean deviation = (1 + 2 + 4 + 3 + 0 + 2 + 0 + 2 + 2 + 0)/10 = 1.6
Variance = (12 + 2^{2} + 4^{2} + 3^{2} + 0^{2} + 2^{2} + 0^{2} + 2^{2} + 22 + 0^{2})/10 = 4.2
Difference = 4.2  1.6 = 2.6
Cyclicity chart:
(Note: when remainder is 0, power = cyclicity)
= (254+145)^{42}
= 399^{42}
Unit digit of 399 is 9.
From the cyclicity chart, the cyclicity of 9 is 2.
So, we have to divide the power of 399 i.e.42, by 2.
After dividing 42 by 2, remainder = 0. So, power = cyclicity = 2
Unit digit of 9^{2}=1
Hence, the unit of (254+145)^{42} is 1.
What value we get if divide (11/5) + (9/4) + (7/2) by (13^{2}  10)?
(11/5) + (9/4) + (7/2)
= (44 + 45 + 70)/20
= 159/20
(132  10)
= 169  10
= 159
According to the question
(159/20) ÷ 159
= (159/20) * (1/159)
= 1/20
= 0.05
A Faulty watch gains 1 hour in 6 hours. After how many days will it show the correct time again?
It will show the correct time again when it gains 24 hours.
It gains 1 hour in 6 hours
It gains 24 hours in 6*24 hours or 6 days.
If, it is given that, 82  28 = 32 and 65  42 = 38, then, 76  18 = ?
(6*5) + (4*2) = 38
Similarly,
(7*6) + (1*8) = 50
If a quadratic equation 3x^{2}  4√3x + m = 0 has equal roots, then find the value of 3m^{2}  5m + 16.
D = 0 = (4√3)^{2}  4 x 3 x m
m = 4
Therefore,
= 3m^{2}  5m + 16
= 3 x 4 x 4  5 x 4 + 16
= 44
How many numbers are irrational among the numbers given below?
6th root of 2187, 5th root of 4096, √(28 x 23  283), √(34 x 35  23 x 22), √4802
1. 6th root of 2187 = 3 x 6th root of 3 (irrational)
2. 5th root of 4096 = 4 x 5th root of 4 (irrational)
3. √(28 x 23  283) = 19
4. √(34 x 35  23 x 22) = 6√19 (irrational)
5. √4802 = 49√2 (irrational)
= Product of (0.003 x 25 + 4.65) and (0.05 x 24  0.2)
= 4.725 x 1
= 4.725
Option (2):
= Sum of (23 x 0.005 + 4 x 0.003) and 3.598
= 0.127 + 3.598
= 3.725
Option (4):
= 2 x 3 x 5.6 x 0.005 + 45.57 x 0.1
= 4.725
Hence, option (2) is odd among all four options.
A contractor undertakes to complete a work in 19 weeks. He employs 180 men for 7 weeks and they complete 1/2 of the work. He then reduces the number of men to 140, who work for 5 weeks. How many men must be employed for the remaining period to finish the work?
This is half the work. It means the remaining half is 1260 men weeks.
Work done by 140 men in 5 weeks = 700 men weeks.
So remaining work = 1260  700 = 560 men weeks which has to be completed over 7 weeks.
Required number of men = 560/7 = 80
A man bought six different fruits, and, each fruit's quantity bought is different. Quantity of Papaya bought is less than that of Oranges as well as Mango. Quantity of Apples bought is less than both Kiwi and Banana. Quantity of Mango is more than only one fruits and that of oranges is more than at least two fruits. Apple's quantity is more than that of oranges. Which fruit's quantity is less than that of three fruits?
Quantity of Papaya bought is less than that of Oranges as well as Mango.
We get,
Case I:
Papaya < Oranges < Mango
Case II:
Papaya < Mango < Oranges
Now,
Quantity of Apples bought is less than both Kiwi and Banana.
Apple's quantity is more than that of oranges.
We get,
Oranges < Apples < Kiwi/banana < Kiwi/Banana
Since,
Quantity of Mango is more than only one fruits.
And, that of oranges is more than at least two fruits.
Thus, case I becomes invalid.
We get,
Papaya < Mango < Oranges < Apples < Kiwi/banana < Kiwi/Banana
So, Orange's quantity is less than that of three fruits.
In ∆ABC, P and Q are points on AB and AC respectively such that AP:PB = 2:1 and AQ:QC = 2:1. If BC = 18 cm, what is the length of PQ?
Since, P and Q divide AB and AC respectively in the same ratio,
PQ is parallel to BC
In ∆APQ and ∆ABC,
∠APQ = ∠ABC and ∠AQP = ∠ACB [Corresponding angles]
So, ∆APQ and ∆ABC are similar,
Corresponding sides are proportional,
BC/PQ = AB/AP
⇒ 18/PQ = (AP + PB)/AP
⇒ 18/PQ = 1 + PB/AP
⇒ 18/PQ = 1 + ½
⇒ PQ = 18*(2/3) = 12 cm
The PieChart shows the percentage distribution of the number of employees that work in a particular department within a Company.
If the number of employees that work in R&D is 588, what is the number of employees who work in Senior Management?
Total employees = 588*(100/14) = 4200
Number of employees who work in Senior Management
= 6% of 4200 = 252
Area of a circle is 706.5 cm^{2} and its radius is increased by a certain amount so that its circumference is increased by 31.4 cm. What is the new area of the circle? (Use π = 3.14)
Area of circle = πR2
R^{2} =706.5/3.14 = 225
R = 15 cm.
Let radius is increased by S cm.
Increase in circumference = (2π x (15 +S))  (2π x15)
= 2πS
2πS = 31.4
S = 5 cm
New area of circle = π x (20)^{2} = 3.14 x 400 = 1256 cm^{2}.
What is the angle between the initial and final position of the second hand of o watch when it has travelled from 02:37:42 p.m. to 02:39:54 p.m.?
In 1 second, the second hand travels 6°
Time duration betweenthe 02:37:42 p.m. and 02:39:54 p.m.
= 2 minutes 12 seconds.
In every minute, the second hand comes back to its original position.
Angle between initial and final position of second hand
= 12*6 = 72°
A person has total of Rs.60000 with him, out which 60% he invested in scheme A at 15% SI for 4 years and remaining in scheme B at 25% SI for 4 years. Now, total interest after 4 years he invested in scheme B for 2 years and total principle amount he invested in scheme A for 2 years. What will be the difference between total amount of interest from both the schemes after 6 years?
Given below are the steps involved. Arrange them in the sequential order.
(A) Amount invested in scheme A and scheme B for the second time is Rs.60000 and [21600 + 24000 = Rs.45600] respectively.
(B) Required difference = (21600 + 18000) ~ (24000 + 22800) = Rs.7200
(C) Initial amount invested in scheme A and B is 60% of 60000 = Rs.36000 and 40% of 60000 = Rs.24000 respectively.
(D) Interest from scheme A and scheme B after 2 years = [(60000 * 15 * 2)/100 = Rs.18000] and [(45600 * 25 * 2)/100 = Rs.22800] respectively.
(E) Interest from scheme A and scheme B after 4 years = [(36000 * 15 * 4)/100 = Rs.21600] and [(24000 * 25 * 4)/100 = Rs.24000] respectively.
(C) Initial amount invested in scheme A and B is 60% of 60000 = Rs.36000 and 40% of 60000 = Rs.24000 respectively.
(E) Interest from scheme A and scheme B after 4 years = [(36000 * 15 * 4)/100 = Rs.21600] and [(24000 * 25 * 4)/100 = Rs.24000] respectively.
(A) Amount invested in scheme A and scheme B for the second time is Rs.60000 and [21600 + 24000 = Rs.45600] respectively.
(D) Interest from scheme A and scheme B after 2 years = [(60000 * 15 * 2)/100 = Rs.18000] and [(45600 * 25 * 2)/100 = Rs.22800] respectively.
(B) Required difference = (21600 + 18000) ~ (24000 + 22800) = Rs.7200
Let X = 0.112112112.. (I)
⇒ 1000X = 112.112112112.. (II)
(II)  (I) gives,
999X = 112
⇒ X = 112/999
⇒ 70/100 x (a  b) = 40/100 x (a + b)
⇒ 7a  7b = 4a + 4b
⇒ 7a  4a = 4b + 7b
⇒ 3a = 11b
⇒ a/b = 11/3
⇒ a:b = 11:3
A is as much younger than B as he is older than C. If the sum of the ages of B and C is 15 years, what is definitely the difference between B and A's age?
Also, B + C = 15 => B + A = 15
So, (B  A) cannot be determined.
What is the value of (2/3) of (6/7) of (14/15) of [63 ÷ {√625 − √(80 ÷ √(100 ÷ 8 X 2))}]?
(2/3) of (6/7) of (14/15) of [63 ÷ {√625 − √(80 ÷ √(100 ÷ 8 X 2))}]
= (2/3) of (6/7) of (14/15) of [63 ÷ {√625 − √(80 ÷ √(12.5 X 2))}]
= (2/3) of (6/7) of (14/15) of [63 ÷ {√625 − √(80 ÷ √(25))}]
= (2/3) of (6/7) of (14/15) of [63 ÷ {√625 − √(80 ÷ 5)}]
= (2/3) of (6/7) of (14/15) of [63 ÷ {√625 − √16}]
= (2/3) of (6/7) of (14/15) of [63 ÷ {25 − 4}]
= (2/3) of (6/7) of (14/15) of [63 ÷ 21]
= (2/3) X (6/7) X (14/15) X 3
= 8/5
The product of three numbers a, b and 21 is 10290 and their HCF is 7. If a is greater than b and b is greater than 10, then find the LCM of greatest and smallest number.
let a = 7m , b = 7n
According to the question:
10290 = 7m x 7n x 21
10 = m x n
There are two possible values for m and n.
Case 1: when, m = 10, n = 1
a = 7m = 7 x 10 = 70
b = 7n = 7 x 1 = 7 < 10
So, this case is not valid.
Case 2: when, m = 5, n = 2
a = 7m = 7 x 5 = 35
b = 7n = 7 x 2 = 14
LCM of 35 and 14 = 70
Find the value of 13 + (1/3) of 81  (1/4) of 192 + 23 of 16 ÷ 92.
= 13 + 27  48 + 4
=  4
By selling 45 sweets for Rs 40 a man losses 20%. How much should he sell for Rs 24 to gain 20%?
SP of 45 sweets = Rs 40
SP of 1 sweets = 40/45
L = 20%
CP = 100/80 * 40/45 = 10/9
SP_{2} = (100 + 20) / 100 * CP
SP_{2} = 120/100 * 10/9 = 4/3
SP of Rs 4/3 sweets for 1 sweets
SP of Rs 24 for = 24/ (4/3) = (24 * 3) / 4 = 18 sweets
A shopkeeper has 5 items such that their mean weight is 30 kg. If weight of these items are consecutive multiples of 5, what will be the sum of the weight of the lightest and heaviest item?
Then, the arrangement of weights in ascending order are:
a, a + 5, a + 10, a + 15, a + 20
Mean = 30
5 x 30 = a + a + 5 + a + 10 + a + 15 + a + 20
a = 20 kg
Weight of heaviest item = 20 + 20 = 40 kg
Sum of weight of lightest and heaviest item = 20 + 40 = 60 kg
Ram had Rs 2000, part of which he lent at 15% for two years at simple interest and the rest at 10% at compound interest for two years. The total interest was Rs 528. Find the sum lent at simple interest (in Rs)?
Let the amount lent at SI be Rs x.
For 2 years, SI = x*15*2/100 = 30*x/100
Amount lent at CI = 2000  x
For 2 years, CI = (2000  x)*(1 + 10/100)2  (2000  x) = (2000  x)(21/100)
30x/100 + (2000x)*21/100 = 528
After solving we get x = Rs 1200
In the following question, select the related letter/word/number from the given alternatives.
MUSIC : TUNE
Find out similar set of the given set:
(64, 216, 125)
(4, 6, 5). Similarly (8, 27, 64) is the perfect cube of (2, 3, 4).
Pointing to a boy Neha said, ‘He is the son of my grandfather’s only child. How is she related to that boy?
In a code language ‘S1357’ means ‘SWe are very happy’, ‘S2639’ means ‘Sthey are extremely lucky’ , and ‘S794’ means ‘SHappy and lucky’. Which digit in that code language stands for ‘Svery’?
01357 → we are very happy .......(i)
2639 → they are extremely lucky ......(ii)
794 → happy and lucky ......(iii)
from (i) and (ii)
3 → are
from (ii) and (iii)
9 → lucky
from (i) and (iii)
7 → happy
from (iii)
4 → and
from (i)
1, 5 → we, very
Hence, we cannot find exact code for 'very'.
In a certain code language the word ‘FUTILE’ is written as ‘HYVMNI’. How will the word ‘PENCIL’ be written in that language?
Laxman start walking from his house and went 15 km to North then he turned West and covered 10 kms. Then he turned South and covered 5 kms. Finally turning to East he covered 10 kms. In which direction he is from his house?
From the figure its clear that laxman is in the north of his house.
Given below are two Matrices of Twentyfive Cells, each containing two classes of alphabets. The columns and rows of Matrix I are numbered form 0 to 4 and that of Matrix II from 5 to 9. A letter from these Matrices can be represented first by its row number and next by its column number. In each of the following questions, identify one set of number pairs out of (1), (2), (3) and (4) which represents the given word.
RUST
RUST
R– 57, 97, 99
U– 68, 78
S– 56, 58, 98
T– 59, 67
Therefore, the correct answer is option (3) i.e. 97, 68, 56, 59
Arrange the following in a meaningful order:
1. Curd
2. Grass
3. Butter
4. Milk
5. Cow
In the questions given below, some relationship has been expressed through symbols as shown below. Based on the meaning of these symbols and choose the correct answer.
ϕ means ‘less than’
Δ means ‘not greater than’
 means ‘equal to’
+ means ‘not equal to’
× means ‘not less than’
= means ‘greater than’
X ϕ Y  Z implies
Clearly, the meaning of the given symbols
X ϕ Y  Z ⇒ X < Y = Z
Using the proper notations/symbols in option (c), we get
X + Y × Z ⇒ X ≠ Y > Z ⇒ X < Y = Z
Therefore, X ϕ Y  Z ⇒ X + Y × Z.
Choose the odd one out from the given alternatives.
Except MOTHER: TMPRHD, the rest of the group, follow the arrangement given below.
Pattern is
Find the odd one out from the given alternatives.
Except in pair 33 56, in all others the sum of digits of one number is equal to the sum of digits of all the second number.
In the question below, there are few statements followed by few conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follow(s) from the given statements.
Statements:
All horses are rivers.
All rivers are jungles.
No Jungle is flower.
Conclusions:
I. No horse is flower.
II. No flower is horse.
Choose the missing terms out of the given alternatives.
Ef_h_gfe_hef_ehgefg_
What should come next in the following letter sequence:
A A B A B C A B C D A B C D E A B C D E F A B C D E F G A B C D E F G
In the given figure, circle represents youths, the triangle represents the persons who are in job and rectangle represents illiterate person.
Which of the following number depicts, illiterate youths who have a job?
Find the water image of the object given in the question figure.
A Piece of paper is folded and cut as shown below in the question fiqure. From the given answer fiqures, indicate how it will appear when opened.
In the following questions, four/five figures are given. Three/four are similar in a certain way and so form a group. Find out which one of the figures does not belong to that group.
Which of the following words cannot be formed from 'GENERALIZATION'?
If ‘+’ stands for multiplication, ‘x’ stands for division, ‘–’ stands for addition and ‘÷’ stands for subtraction, what is the answer for the following equation?
20 – 5 ÷ 18 x (3 + 2) = ?
The day on 18.09.1977 was Sunday. A couple was married on this date. In the next 15 years, there how many marriage anniversaries would fall on Sunday?
Therefore,
Number of odd days from 18.09.1977 to 18.09.1983=7, i.e., 0 odd day
It means that in 1983, 18th September would fall on Sunday.
and number of odd days from 18.09.1977 to 18.09.1988 = 14, i.e., 0 odd day.
Now, it is clear that 2 marriage anniversaries would fall on Sunday in the next 15 yr.
In a row of girls, if Rohini who is 12th from the left and Mihika who is 9th from the right, if they interchange their seats then Rohini becomes 18th from the left. How many girls are there in the row?
Study the diagram given below and answer the question.
Which part represents those clerks who are graduates and have government job?
Who was recently elected as the Deputy Chairman of the Rajya Sabha in the Parliament?
Earlier in his career he was a journalist with 'Prabhat Khabar' and then was chosen as the media advisor to former Prime Minister Chandra Shekhar.
Recently, the Ministry of External Affairs organised 11th World Hindi Conference at which of the following Indian ocean states?
Theme of the Conference: "Hindi Vishwa Aur Bharatiy Sanskriti". It was organised by the Ministry of External Affairs, Government of India in association with the Government of Mauritius
Right to Information, an important legislative act to promote transparency & strengthen the democracy of India came into being on which year?
Using rtionline.gov.in citizens of India can seek information to turn India into a participatory democracy.
According to the government guidelines, 'Any person who desires to obtain information shall submit a written or electronic request in English or Hindi or in the official language of the area to the Central Public Information Officer or his/her counterpart at the state level.'
Which Indian state excelled to be the top performer in the recently released 'Ease of Living Index 2018' by Ministry of Housing & Urban Affairs?
The Index seeks to assist states in undertaking a 360degree assessment of their strengths, weaknesses, opportunities, and threat & innovate to perform in the governance, identity and culture, education, health, safety and security, economy, affordable housing, land use planning etc. for its residents.
Which of the following government entity started 'Seva Bhoj Yojna'  a scheme to reimburse central share of CGST and IGST on food, prasad, langar etc. offered by religious and charitable institutions?
Institutions like Temples, Gurudwara, Mosque, Church, Dharmik Ashram, Dargah etc. who are established and serving free food for more than 5 years to more than 5000 people every month without any discrimination are the eligible entities.
Google recently, unveiled ____________ which will quickly render any PDF with Indian language content into editable text using Artificial Intelligence.
Under the project, The registered publishers will be provided with free web hosting service along with a branded domain for 3 years and having AdSense support to help monetising their content.
Which of the following Indian states launched a scheme, 'Kanyashree', to incentivize adolescent girl child education to combat issue of child marriages?
Eligible girls got Rs.1,000 a year scholarship from ages 13 to 18 years and a onetime grant of Rs.25,000 on remaining unmarried till 18 years. More than 5 million girl children benefitted from the scheme.
Recently the annual income limit was relaxed to any girl child within the age limit.
Which of the following government institution launched "Pitch to MOVE", a business opportunity platform for budding entrepreneurs?
It aims to identify and incentivise the startups, which will help the Government realize its vision of Shared, Connected, Intermodal and Environment Friendly Mobility for India.
The objective is to harness the latest disruption for generating employment and growth in our country
Ghoomar is a popular traditional folk dance from which region in India?
Attire for women: Ghagharas along with colourful chunaris and heavy embroidery. Works garment.
Which of the following International Organisations are headquartered in Washington D.C., USA?
Match the following trophies with their respective sports
Dhauladhar National Park is situated in which of the following Indian state?
Daman & Diu is Union territory of India comprising 2 different areas separated by which of the following?
Arabian Sea separates the two areas of the union territory, Daman & Diu, bordered by the state of Gujarat.
With an area of only 112 square kms, it is the second smallest UT of India after Lakshadweep.
Recently, BOMBAY NATURAL HISTORY SOCIETY opened its regional centre at which of the following important Wetland in India?
Here, BNHS would be engaged in identifying the air route of the migratory birds flocking the Chilika lake during winter & sample collection, training related to bird census among other important conservatory purposes.
With which of the following Financial Institution would you associate 'Prompt Corrective Action'?
 capital to risk weighted assets ratio (CRAR),
 net nonperforming assets (NPA) and
 Return on Assets (RoA), applicable only to commercial banks and not extended to cooperative banks, nonbanking financial companies (NBFCs) & other financial institutes
Which of the following rays exhibits the property of light wave?
A ball thrown vertically upwards with an initial velocity of 19.6 m/s returns in 4 seconds. Which one of the following is the maximum height attained by the ball?
= 2 Second
Now
Which amongst the following is the most elastic?
Madam Curie invented Radium. She was born in ……….....
When a body is immersed in a liquid, the force acting on it is?
Which of the following is the best conductor of Electricity ?
Mach number is used in connection with the speed of 
If linear momentum is increased by 50%, the kinetic energy will increase by
Which of the following colour will scatter the most while passing through a prism?
Brass gets discoloured in air due to the presence of which gas in air ?
At high altitudes the boiling point of water reduces because 
The point, through which the whole weight of the body acts, irrespective of its position, is known as
Avogadro constant, N_{A} is the number of molecules in one mole of a substance and its value (N_{A}) is
6.02 × 10^{23} mol
When CaC_{2} is heated in atmospheric nitrogen in an electric furnance the compound formed is ________
In which of the following blocks of the periodic table are the Alkali & Alkaline earth metals included?
Permanent hardness of water may be removed by the addition of ____
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