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If 'x' means '-', '+' means '+', '-' means '+' and '+' means 'x ' then what is the value of 136 + 4 ÷ 5 - 68 - 75?
136 ÷ 4 x 5 + 68 - 75
= 34 x 5 - 7
⇒ 170 - 7 = 163
If 'x' means '+', '+' means '÷', '÷' means '-' and '-' means 'x', what will be the value of the following expression?
5 - 7 x 9 + 3÷ 2
5 - 7 x 9 + 3 ÷ 2
⇒ 5 ÷ 7 + 9 ÷ 3 - 2 = 35 + 3 - 2
⇒ 38 - 2 = 36
If '+' is denoted by '#', is denoted by '*', ' # ' is denoted by '@' and '-' is denoted by '$', then what is the value of '40 $ 20 @ 2 # 40 * 20 # 38'?
40 - 20 x 2 + 40 x 20 + 38
⇒ 40 - 20 x 2 + 2 + 38
⇒ 40 - 40 + 2 + 38
⇒ 40 - 40 + 40
⇒ 40
Complete the analogous pair.
Given set : (6, 15, 28)
The difference between first and second number is 9 and
between second and third number is 13
The angle between the lines 2x - y + 3 = 0 and x + 2y + 3 = 0 is
In the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of fig. (X) would complete the pattern.
In each question below is given a group of letters followed by four combinations of digits numbered (A), (B), (C) and (D). You have to find which of the combinations correctly represents the group of letters based on the following coding system and mark the number of that combination as the answer. If none of the four combinations correctly represents the group of letters, mark (E) i.e. 'None of these' as the answer.
Letter : B L C X P D S K M E
Digits : 7 1 0 8 9 3 6 2 5 4
XCMSLPK
In each question below is given a group of letters followed by four combinations of digits numbered (A), (B), (C) and (D). You have to find which of the combinations correctly represents the group of letters based on the following coding system and mark the number of that combination as the answer. If none of the four combinations correctly represents the group of letters, mark (E) i.e. 'None of these' as the answer.
Letter : B L C X P D S K M E
Digits : 7 1 0 8 9 3 6 2 5 4
KCDEBPS
Following are based on the below diagrams. Study them carefully and indicate correct answers as per the "Instructions".
Young people, Elderly people, Artists.
Select the correct mirror image of the figure (X) from amongst the given alternatives.
Each of the following questions consists of five problem figures marked 1, 2, 3, 4, 5 followed by Answer figure marked A, B, C, D and E. Select a figure from the answer figures which will continue the same series as given in the problem figures.
Find the missing number/letters in the series.
625, 5, 125, 25, 25, ?, 5
In the questions, figure (X) is embedded in one of following figures. Find out the correct alternative.
Kamal is available at home from 12 noon to 4 p.m. on Tuesday, Thursday and Sunday. His younger brother Navin is available at home on Monday, Thursday, Friday and Sunday between 10 a.m. to 2 p.m.The eldest brother Rajiv is available between 9 a.m. to 12 noon on Monday, Wednesday and Thursday and 2 p.m. to 4 p.m. on Friday, Saturday and Sunday.
At a time, on which day of a week all the three brothers are available at home ?
Which of the following Committees recommended that the elections to Panchayat Raj bodies should be held on party lines?
Pondicherry was admitted to India under which article?
The first Cellular Phone service in India was launched in which of the following cities?
Panchayati Raj was first introduced in the state of Rajasthan and
Commercial banks finance rural credit directly and through:
Which of the following most appropriately describes Transaction Processing?
Everything component of your computer is either ___
Which of the following is not a central Government tax?
The draft of the five year plans in India is approved by the-
Poverty in less developed country is largely due to-
As per the last Indian Decennial Census, ....... is the most literate State in the country.
The mainstream of river Ganga which flows beyond Farakka is known as
A standing army was first introduced in medieval India by
Where is monozite found in India on a large scale?
In ancient India a person in 'Bramhacharya Ashram was prohibited from
Name the first Buddhist pilgrim from China to visit India
The ultimate source of law according to Vedlic philosophy was
"It begins as a single cell and grows into a merciless disease that claims millions of lives year after year. But scientists are steadily unlocking its mysteries, and the fight against it may now have reached a dramatic turning piont. New discoveries promise better therapies and hope in the war against." The disease referred to in the above quotation is
Which of the following are associated with diabetes mellitus, a common disease in adults?
1. Higher sugar level in blood
2. Lower sugar level in blood
3. Lower insulin level in blood
4. Higher insulin level in blood
Select the correct answer by using the codes given below:
Assertion [A] : The boiling point of water decreases as the altitude increases. .
Reason [R] : The atmospheric pressure increases with altitude.
Which one of the following organisms is likely to show the highest concentration of DDT once it has been introduced into the ecosystem?
When an air bubble at the bottom of lake rises to the top, it will
Which one of the following techniques can be used to establish the paternity of a child?
Which one of the following statements is correct?
Assertion [A] : Insect resistant transgenic cotton has been produced by inserting Bt gene.
Reason [R] : The Bt gene is derived from a bacterium.
A.E. Manoharan passed away recently. He was a well known__________
Which of the following are true of fertilizer ? (1) It supplies nutrients to the plants (2) It kills the pests (3) It produces plant growth hormones (4) It adjusts the soil pH and increases the crop yield
In the medical system of treatment to relieve pains, called Acupuncture
The latest remote sensing satellite to have been sent to the space by India is :
Why does radio perception improve slightly during the night ?
Astronaut can jump higher on the moon's surface than on the earth because :
The sun rays falling on a thin film of oil spread over a water surface breaks into different colours. This is due to
Mercury is generally used in thermometers because it has a
The term 'Gambit' is associated with the game of :
The Delhi Soccer Association (Football Delhi) has announced to celebrate which legendary football players birthday as Football Day in Delhi as a mark of honor?
What is the number of non-permanent members of the Security Council?
Which one of the following countries has withdrawn from the UNESCO?
Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then, 5x + 3 4x + 3 = 11 9
⇒ 9(5x + 3) = 11(4x + 3)
⇒ 45x + 27 = 44x + 33
⇒ 45x - 44x = 33 - 27
⇒ x = 6
∴ Anand's present age = 4x = 24 years.
If two tables and three chairs cost Rs 3500,while three tables and two chairs cost Rs 4,000,then the price of one table is
As per question
2T + 3C = 3500.....(1)
3T + 2C = 4000.....(2)
from equation(1)
2T = 3500 - 3C
⇒ T = 3500 - 3C 2
Putting value in equation (2)
3 x ( 3500 - 3C 2 ) + 2C = 4000
⇒ 10500 - 9C 2 + 2C = 4000
⇒ 10500 - 9C + 4C 2 = 4000
⇒ 10500 - 5C = 8000
⇒ - 5C = 800 - 10500
⇒ C = 2500 5 = 500
Putting value of 1 chair in equation (1)
2T + 3C = 3500
2T + 3 (500) = 3500
⇒ 2T = 3500 - 1500
⇒ T = 1000
What would be the maximum value of Q in the following equation?
5P9+3R7+2Q8=1114
+ 1 2 5 P 9 3 R 7 2 Q 8 11 1 4
⇒ 2 + P + R + Q = 11
So for maximum value of Q, P = R = 0
∴ Q = 11 - 2 = 9
If 5X + 6 (2 + X)(1 - X) = a 2 + x + b 1 - x , then the values of a and b respectively are
5x + 6 (2 + x)(1 - x)
= a 2 + x + b 1 - x
= a(1 - x) + b(2 + x) (2 + x)(1 - x)
or 5x + 6 = a(1 - x) + b(2 + x)
or 5x + 6 = (a + 2b) + x(b - a)
∴ a + 2b = 6 .....(1)
-a + b = 5 .....(2)
Solving (1) & (2) we get
3b = 11
b = 11 3 ,
a = 11 3 - 5 = - 4 3
If α and β are the roots of the equation x2+2x+1=0, then the equation whose roots are 1/α and 1/β is
α + β = - 2
α . β = 1
1 α + 1 β = α + β αβ = -2
1 α . 1 β = 1 αβ = 1
The required equation is x2 - ( 1 α + 1 β ) x + ( 1 α . 1 β ) = 0
⇒ x2 - (-2x) + 1 = 0
⇒ x2 + 2x + 1 = 0
One side of a right triangle measures 12 cm and the difference between the hypotenuse and the other side is 8 cm. The area of the triangle is
Let the hypotenuse = x cm
Then the other side is (x - 8) cm
By Pythagoras theorem
(x - 8)2 + (12)2 = x2
⇒ x2 + 64 - 16x + 144 = x2
⇒ -16x = -208
⇒ x = 208 16 = 13 cm
∴ Hypotenuse = 13cm
so the other side = (13 - 8) = 5cm
Area = 1 /2 x 12 x 5
= 30cm2
Rajneetha walks around the circular park in 15 minutes. If she walks at the rate of 5 km/hr, how much distance would she have to travel, at the minimum, to reach the centre of the park from any point on its perimeter?
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is:
Total age of 15 students = (15 x 15) years = 225 years
Total age of 5 students = (5x 14) years = 70 years
Total age of other 9 students = (9 x 16) years = 144 years
∴ Age of the 15th student = 225 - (70 + 144) = 225 - 214 = 11 years
The average of three numbers is 135. The largest number is 180 and the difference of the others is 25. The smallest number is
Let the numbers be x, y and z
⇒ x + y + z /3 = 135
⇒ x + y + z = 405
But let x = largest number i.e. 180
⇒ y + z = 225 .....(1)
Also, y - z = 25 .....(2)
Solving (1) and (2)
We get 2y = 250
⇒ y = 125
⇒ z = 125 - 25 = 100
Hence, the smallest number among the three numbers is 100
The Compound Interest on a certain sum for 2 yrs is Rs 618 whereas the simple interest on the same sum at the same rate for 2 yrs is Rs 600. The rate of interest p.a is
Cube root of a number when divided by 5 results in 25.What is the number?
A shopkeeper gives 12% additional discount on the discounted price,after giving an initial discount of 20% on the labelled price of a radio. If the final sale price of the radio is Rs 704,then what is its labelled price?
In tha figure if DE = 40 cm, BC = 6 cm and area ∆ADE = 16 cm2, then area ∆ABC is
In a triangle all of its four special points are coincident. The triangle is
PQ is a diameter and PQRS is a cyclic quadrilateral. If ∠PSR=150°, then measure of ∠RPQ is
There are 4 lines in a plane, two of which are parallel. The maximum number of points in which they can intersect is
Let l and m be the parallel lines. They have no point of intersection. Line n intersects l and m at one point each. Line p intersects the above three lines at one point each. Hence 5 points of intersection.
The H.C.F. of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is :
If a flag staff of 6 mt high placed on the top of a tower throws a shadow of 2√323 mt along the ground then the angle that the sun makes with the ground is
Study the following graph carefully and answer the questions given below.
Population of State 'F' in 1995 approximately what percent of its population in 1996 ?
Study the following graph carefully and answer the questions given below.
If the popualtion of State 'B' in the year 1994 was 5 lakh, what was approximately its population in the year 1996 ?
Study the following graph carefully and answer the questions given below.
If the population of states C and D in 1995 are in the ratio 2 : 3 respectively and the population of states 'C' in 1994 was 2.5 lakh, what was the population of State 'D' in 1995 ?
Population of C : population of D = 2 : 3 2.5 lakh : population of D = 2 : 3 Hence, population of D in 1994 = 3.75 lakh Population of D in 1995 = 3.75 × 1.6 = 6 lakh
Study the following graph carefully and answer the questions given below.
In 1994 population of states B and D are equal and the population of States B in 1996 is 20.925 lakhs. What approximate was the population of State 'D' in 1996 ?
How many digits in all are required to write numbers from 1 to 50?
1 to 9 = 9 (1 digit number) 10 to 50 = 41(2 digit number) = 41 × 2 = 82 total digits = 82 + 9 = 91
Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the buisness. In the year 1996 his investment was less by Rs 5000 but still had the same income as that in 1995. Thus the % profit earned in 1996 increased by 6%. What was his investment in 1995?
If x% of a is the same as y% of b,then z% of b is
These questions are to be answered on the bases of the following pie chart which gives the marks scored by a student in an examination in five subjects- English,Hindi,Mathematics,Science and Social Science. Assuming that the total marks obtained for the examination are 540 answer these questions.
The marks scored by the student in Hindi and Mathematics exceed the marks scored in English and Social Science by :
% of marks obtained in Hindi and Maths = (90 + 70) = 160º % of marks obtained in English and Social science = (65 + 55) = 120º Difference = 160º - 120º = 40º Now 360º = 540 marks ∴
40º = 300/500× 40 = 60 marks
These questions are to be answered on the bases of the following pie chart which gives the marks scored by a student in an examination in five subjects- English,Hindi,Mathematics,Science and Social Science. Assuming that the total marks obtained for the examination are 540 answer these questions.
The subject in which the student scored 22.2% marks is :
These questions are to be answered on the bases of the following pie chart which gives the marks scored by a student in an examination in five subjects- English,Hindi,Mathematics,Science and Social Science. Assuming that the total marks obtained for the examination are 540 answer these questions.
The marks obtained in three subjects , English , Science and Social Science , are what percent of the total marks ?
These questions are to be answered on the bases of the following pie chart which gives the marks scored by a student in an examination in five subjects- English,Hindi,Mathematics,Science and Social Science. Assuming that the total marks obtained for the examination are 540 answer these questions.
The marks obtained in Mathematics are what percent of the total marks ?
These questions are to be answered on the bases of the following pie chart which gives the marks scored by a student in an examination in five subjects- English,Hindi,Mathematics,Science and Social Science. Assuming that the total marks obtained for the examination are 540 answer these questions.
The aggregate marks obtained by the students averaged over the 5 subject is :
Two taps can fill a tank in 4 hrs and 6 hrs respectively. A third tap can empty the tank in 3 hrs. If all the three pipes are opened, how much time will it take to fill the tank?
What is the percentage profit made by selling an umbrella at a certain price,if by selling at 2/3 of that price,there would be loss of 10%?
By mixing two brands of tea and selling the mixture at the rate of Rs.177 per kg, a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs.200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Two sides of a triangle are given by the roots of the equation x2−2√3x+2=0.x2−23x+2=0. The angle between the sides is π3π3. The perimeter of the triangle is
I have one-rupee coins, fifty paisa coins and twenty five paisa coins. The number of coins are in the ratio 2.5 : 3 : 4. If the total amount with me is Rs. 210, find the number of one-rupee coins.
If a:b:c=2:3:4, then 1/a : 1/b : 1/c is equal to
pth term of an A.P. is q and qth term is P,its rth term is
At a simple interest Rs. 800 becomes Rs. 956 in three years. If the interest rate is increased by 3% how much would Rs. 800 become in three years.
800 chocolates were distributed among the students of a class. Each student got twice as many chocolates as the number of students in the class. The number of students in the class was
A person travels from P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for both the trips?
A does half as much work as B in 3/4th of the time. If together they take 18 days to complete a work. how much time shall B take to do it?
If tanθ=[(sinα-cosα)/(sinα+cosα)], then sinα+cosα and sinα-cosα are equal to :
A and B are positive acute angles satisfying the equations 3 cos²A+2 cos²B=4 and 3sinA/sinB=2cosB/cosA,then A+2B is equal to
X and Y are two cylinders of the same height. The base of X has diameter that is half the diameter of the base of Y. If the height of X is doubled, the volume of X becomes:
A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. The height of the cone is :
The internal and external diameter of a hemispherical bowl are 12 cm and 10 cm respectively. The cost of painting the vessel all over @ Rs.0.07/cm² is
Fill in the blanks with appropriate word .
One of the most brutal features of gender inequality takes the form of physical violence against women. The ___B1___ of such violence is remarkably high, not in poorer and less developed economies but also in wealthy and modern societies. Indeed the ___B2___ of battering women even in the richest and most developed economies is ___B3___ high. Turning to India, it must be ___B4___ first that the frequency of assaults on women is high in the country. To that ___B5___ general recognition has to be added the special role of violence connected with particular ___B6___ features, such as dowry and economic settlements. Even though the numbers involved within violent deaths are ___B7___ by the larger numbers that ___B8___ from ___B9___ of healthcare, the crude and brutal nature of this from gender inequality makes it a particularly severe ___B10___ of the deprivation of women.
Appropriate word at B1 is
Fill in the blanks with appropriate word .
One of the most brutal features of gender inequality takes the form of physical violence against women. The ___B1___ of such violence is remarkably high, not in poorer and less developed economies but also in wealthy and modern societies. Indeed the ___B2___ of battering women even in the richest and most developed economies is ___B3___ high. Turning to India, it must be ___B4___ first that the frequency of assaults on women is high in the country. To that ___B5___ general recognition has to be added the special role of violence connected with particular ___B6___ features, such as dowry and economic settlements. Even though the numbers involved within violent deaths are ___B7___ by the larger numbers that ___B8___ from ___B9___ of healthcare, the crude and brutal nature of this from gender inequality makes it a particularly severe ___B10___ of the deprivation of women.
Appropriate word at B2 is
Fill in the blanks with appropriate word .
One of the most brutal features of gender inequality takes the form of physical violence against women. The ___B1___ of such violence is remarkably high, not in poorer and less developed economies but also in wealthy and modern societies. Indeed the ___B2___ of battering women even in the richest and most developed economies is ___B3___ high. Turning to India, it must be ___B4___ first that the frequency of assaults on women is high in the country. To that ___B5___ general recognition has to be added the special role of violence connected with particular ___B6___ features, such as dowry and economic settlements. Even though the numbers involved within violent deaths are ___B7___ by the larger numbers that ___B8___ from ___B9___ of healthcare, the crude and brutal nature of this from gender inequality makes it a particularly severe ___B10___ of the deprivation of women.
Appropriate word at B3 is