Find the missing character.
The number in the second column is three times the difference between the numbers in the third and first columns.
So, missing number = 3 x 16 − 7 = 3 x 9 = 27.
Find the missing character.
In the first column, 3 x 100 + 5 x 9 = 345.
In the second column, 4 x 100 + 6 x 10 = 460.
∴ In the third column, missing number = 5 x 100 + 7 x
Find the missing character.
In fig. (A), 3 x 3 + 6 x5 = 39.
In fig. (B), 4 x 4 + 5 x 7 = 51.
∴ In fig. (C), missing number = 3 x4 + 5 x 5 = 37.
The given diagram shows the number of students who failed in an examination comprising papers in English, Hindi and Mathematics. The total number of students who took the test is 500. What is the percentage of students who failed in atleast two subject ?
Number of students who failed at least two subjects
= 10 + 5 + 12 + 12 = 39
Hence, required percentage = 39 500 X 100 = 7.8
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 marked (A), (B), (C) and (D). You have to find out which of the combinations correctly represents the group of letters based on the following coding system and mark the letter 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 : C F H L M A G J D K
Digits : 2 6 4 8 0 7 3 9 1 5
D → 1
F → 6
M → 0
K → 5
H → 4
L → 8
G → 3
In each of the following questions, the two expressions on either side of the sign (=) will have the same value if two terms on either side or the same side are interchanged. The correct terms to be interchanged have been given as one of the five alternatives under the expressions. Find 5 + 3 × 6 - 4 ÷ 2 = 4 × 3 - 10 ÷ 2 + 7
In each of the following questions, the two expressions on either side of the sign (=) will have the same value if two terms on either side or the same side are interchanged. The correct terms to be interchanged have been given as one of the five alternatives under the expressions. Find . 7 × 2 - 3 + 8 ÷ 4 = 5 + 6 × 2 - 24 ÷ 3
On interchanging 7 and 6, we get the statement as: 6 × 2 - 3 + 8 ÷ 4 = 5 + 7 × 2 - 24 ÷ 3 or 12 - 3 + 2 = 5 + 14 - 8 or 11 = 11, which is true
In each of the following questions, the two expressions on either side of the sign (=) will have the same value if two terms on either side or the same side are interchanged. The correct terms to be interchanged have been given as one of the five alternatives under the expressions. Find the corect alternative in each case.
6 × 3 + 8 ÷ 2 - 1 = 9 - 8 ÷ 4 + 5 × 2
On interchanging 9 and 5 on R.H.S., we get the statement as: 6 × 3 + 8 ÷ 2 - 1 = 5 - 8 ÷ 4 + 9 × 2 or 18 + 4 - 1 = 5 - 2 + 18 or 21 = 21, which is true
Select the correct mirror image of the figure (X) from amongst the given alternatives.
Each of the following question consists of five problem figures marked 1,2,3,4,5 followed by answer figures marked A,B,C,D and E. Select figure from answer figures which will continue the same series as given in the problem figures.
In the questions, figure (X) is embedded in one of following figures. Find out the correct alternative.
The provisional figures of India’s largest Census 2011 were released in New Delhi on?
Adhoc Judges are appointed in the Supreme court of India when-
Which article provides for automatic suspension of Art.19 during emergency
India's first Prisoner's Bank was started at
How many times can a person be elected President of India?
For reproducing sound, a CD (Compact Disc) audio player uses a
The process of ____________ involves automated study of consumer buying patterns in order to support marketing, inventory replenishment, and pricing decisions
Which of the following is not a financial institution?
The period of 11th plan is—
When prices are rising, which of the following steps should the Government adopt to bring about reduction in prices?
Interest on public debt is a part of-
Welfare State is the aim of
Revealed preference theory was propounded by-
The term mixed economy denotes-
Which of the following countries is not the members of European Union ?
Which river is mainly associated with the Sardar sarovar Project?
which is the period of south west monsoon in india?
Lines connecting places with equal atmospheric pressure are called :
Which of the following countries has the second largest rail network in the world?
Which of the following atmospheric layers is outermost?
Among the following who established the 'Indian National Army'?
The poet-saint of medieval India, who supported the way of 'Nipakha 'was-
Ashtadiggajas were in the court of
Which dynasty patronised the University of Vikramaditya?
Name the author of Kadambari
Emission of which one of the following will produce isobars ?
Which one among the following is nearest to the Tropic of Cancer?
Assertion [A] : In human beings, the females play a major role in determining the sex of the offspring.
Reason [R] : Women have two 'X' chromosomes.
A corked bottle full of water then forzen will break because
Which one of the following is used as an anti-freeze the automobile engines?
If a gas is compressed to half of its original volume at 27 deg C, to what temperature should it be heated to make it occupy its original volume?
Assertion [A] : A piece of copper and a piece of glass are heated to the same temperature. When touched, thereafter, the copper piece appears hotter than the glass piece. .
Reason [R] : The density of copper is more than that of glass.
The thermal conductivity of copper is about 400 times greater than glass.
Which one of the following is a membrane that protects the developing embryo from desiccation?
Assertion [A] : In a motion picture, usually 24 frames are projected every second over the whole length of the film.
Reason [R] : An image formed on the retina of eye persists for about 0.1 s after the removal of stimulus.
Who has been conferred with the 1st Mufti Mohammad Sayeed Award for Probity in Politics and Public Life?
The memory of a computer is commonly expressed in terms of kilobytes or Megabyes. A byte is made up of
A fuse wire is used for :
The reason for the increasing number of malaria patients is that :
Windows 98 is an Internet browser. Name the other software which also has an Internet browser ?
Copper is not used for long distance lighting wires because :
Microwave links are preferred for telephone because
The bomb that cannot destroy the property but can damage the life only is :
The change of ice into water is a/an :
Furnish the frequency of Olympic Games (summer) :
The needle of a magnetic compass points to :
Which country has achieved the top position in the latest FIFA World Ranking?
KMnO₄ can be used as
Which is the principal organ of the United Nations that has virtually accomplished its object?
If algae suddenly disappear from the water bodies, then all the other aquatic organisms (like fish, prawns and protozonas) will die. This is beacuse of
Which of the following countries are among the constituents of the SAARC? (1)Nepal (2) Bangladesh (3) Pakistan (4) Maldives (5) Afganistan
Nine persons went to a hotel for taking their meals. Eight of them spent Rs 12 each over their meals and the ninth spent Rs 8 more than the average expenditure of all the nine. Total money spent by them was
Let the average expenditure of all the nine be Rs. x.
Then. 12 x 8 + (x + 8) = 9x
⇒ x = 13
Total money spent = 9x = 9 x 13 = Rs. 117
If 2x+y=5 and 3x-4y=2, then the value of 2xy is
If a3 = b3 and a≠b, then the sum of the roots of the equation x2 - (a2 + ab + b2)x+k=0 is equal to
The ratio of P's and Q's ages is 5:7. If the difference between the present age of Q and the age of P six yrs hence is 2 then what is the total of present ages of P and Q?
The solution of x/2+y/9=11 and x/3+y/6=9 is
A student was asked to find the arithmetic mean of the numbers 3,11,7,9,15,13,8,19,17,21,14 and x. He found the mean to be 12. What should be the number in place of x?
Three lines 3x - y = 2, 5x + ay = 3 and 2x + y = 3 are concurrent, then a =
Chord AB of a circle radius 28 cm subtends an angle of 90º at the centre of the cirlce. The area of the major segment is .... (use π = 3.14)
Find the average of all the numbers between 6 and 34 which are divisible by 5.
The parallel sides of a trapezium are 10 cm and 22 cm. Its non parallel sides are 10 cm each then the area of the trapezium is
In Δ CEB CE = 10 cm, CB = 10 cm, EP + PB = EB = 12 cm
In Δ CEP CE = 10 cm, EP = 6 cm
CP2 = 102 - 62
CP = 8
Here h = 8 cm
Area of trapezium is = 1/2 (sum of parallel side) (height)
= 1/2 (10 + 22) (8)
= 1/2 (32) (8)
= 128 cm2
A rectangular park is 200 by 150m. Two cross paths are to be made one parallel to the length and the other parallel to the breadth. The longer path is to be 3 m wide and the shorter is to be 2 m wide. The cost of grassing the remaining part of the park @ Rs. 1000 per ha is
Area of the park minus the paths
= (200 - 3) (150 - 2)
= 197 x 147 sq. m
= 29156 sq. m
The cost of grashing the remaming part of the park = Rs 29156 /10000 x 1000
= Rs 2915.6
If 47.2506 = 4A+( 7 B )+2C+( 5 D )+6E, then the value of 5A+3B+6C+D+3E is :
Given 47.2506 = 4A + 7 B + 2C + 5 D + 6E .....(i)
Now, write 47.2506 = 40 + 7 + 0 2 + 0.05 + 0.0006 .....(ii)
Comparing (i) and (ii), we get,
4A = 40 ⇒ A = 10
7 B = 7 ⇒ B = 7 7 ⇒ B = 1
2C = 0.2 ⇒ C = 0.1
5 D = 0.05 ⇒ D = 5 0.05 ⇒ D = 100
6E = 0.0006
⇒ E = 0.0001 ∴ The Value of 5A + 3B + 6C + D + 3E
= (5x 10) + (3 x 1) + (6 x 0.1) + 100 + (3 x 0.0001)
= 50 + 3 + 0.6 + 100 + 0.0003
A shopkeeper bought 150 calcualtors at the rate of Rs 250 per calculator. He spent Rs 2,500 on transportation and Packing. If the marked price of a calcualtor is Rs 320 per calculator and the shopkeeper gives a discount on 5% on the marked price then what will be the percentage profit gained by the shopkeeper?
ABCD is a parallelogram. P, Q R and S are the midpoint of sides AB, BC, CD and DA of parallelogram ABCD. Then area of shaded part is
P and R are the mid-points.
Hence,ar.|| gtm APRD= 1 2 a r . ∥ g m A B C D
Also DROS is a ||gm. Hence area || gm = DROS = 1 2 a r . ∥ g m A P R D = 1 2 1 2 a r . ∥ g m A B C D
Cube root of 658503 is
ABCD is a trapezium with AB || CD. L and M are midpoints of AD and BC respectively LM meets BD and AC at E and F respectively. Then EF=
∠ F = 1 2
DC and ∠ E = 1 2 AB;
Also EF = LF - LE
A sum of money becomes 8 times of itself in 3 yrs at Compound Interest. The rate of interest per annum is
A man observes a tower AB of height h from a point P on the ground. He moves a distance d towards the foot of the tower and find that the angle of elevation is doubled. He further moves a distance (3/4)d in the same direction and finds that the angle of elevation is three times that at P. Then
In a cyclic quadrilateral, the opposite angles are :
The HCF of 1134,1344 and 1512 is
A person usually spent Rs 48 to buy groundnuts for roasting and resale. On one occasion he could buy 1.5 kg of groundnuts less for Rs 48 as the price had gone up by 25%. What was the earlier price of groundnut per kg?
A and B are two fixed points on a plane. A collection of all the points whose sum of distance from A and B is 10 cm is
In Δ A B C , r + r 3 + r 1 − r 2 =
In an examination a student who gets 20% of the maximum marks fails by 5 marks.Another student who scores 30% of the maximum marks gets 20 marks more than the pass marks. The necessary percentage required for passing is
If a/b=2/3 and b/c=4/5,then the ratio (a+b)/(b+c) is equal to
There are Rs 225 consisting of one-rupee, 50-paise and 25-paise coins. The ratio of their numbers in that order is 8:5:3. The number of one-rupee coins is
What number should be divided by √0.25 to give the result as 25?
Arun Borrowed a sum of money from Jayant at the rate of 8% per annum simple interest for the first four years, 10% per annum for the next six years and 12% per annum for the period beyond ten years. If he pays a total of Rs. 12160 as interest only at the end of 15 years, how much money did he borrow ?
If 4th term of an H.P. is 5 and 5th term is 4, then its 20th term is
A and B can run 200 m in 22 and 25 seconds respectively. How far is B from the finishing line when A reaches in?
A and B can do a job together in 7 days. A is 1.75 times as efficient as B. The same job can be done by A alone is :
If sinα=-3/5, where π<α<(3π/2), then cos(α/2)=
The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is
The radii of internal and external surfaces of a hollow spherical shell are 3cm and 5cm respectively. If it is melted and recaste into a solid cylinder of diameter 14 cm, the height of the cylinder is nearly
Let Internal surfaces of a hollow spherical shell = r = 3cm
External surfaces of a hollow spherical shell = R = 5cm
Volume of hollow spherical shell = 4 3 π (R3 - r3)
Let the height of solid cylinder = h
Radius of solid cylinder = R1 = 14 2 = 7cm
Volume of solid cylinder = π R12 h
Now volume of hollow spherical shell = Volume of solid cylinder
⇒ 4 3 π (R3 - r3) = π R12 h
⇒ 4 3 ((5)3 - (3)3) = (7)2 h
⇒ 49 h = 392 3
⇒ h = 2.6666 ≅ 2.67
If the areas of the three adjacent faces of a cuboidal box are 120 cm2, 72 cm2 and 60 cm2 respectively, then find the volume of the box.
The sides of cuboidal box are √120 cm, √72 cm and √60 cm respectively.
The volume of a cuboidal box
Given A=sin2θ+cos4θ, then for all values of θ :
The greatest value of 3 cos θ + 4 sin θ is :
The greatest value of 3 cos θ + 4 sin θ is
In a school the periodical examinations are held every second month. In a session during April 2001-March 2002, a student of Class IX appeared for each of the perodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below. Study the graph and answer the question based on it given below.
Marks obtained by a student in six periodical exams held in every two months during the years in the session 2001-02. Maximum total marks in each periodical exam = 500.