Simplify the following expression:
9991 × 10009
- ((a))
9999999
- ((b))
91999919
- ((c))
9999919
- ((d))
99999919
Show Answer
99999919
75 questions · 60 minutes · with answers · free
Simplify the following expression:
9991 × 10009
9999999
91999919
9999919
99999919
99999919
In two triangles ABC and DEF, if AB = EF, BC = DF and CA = DE, then:
ΔABC ≅ ΔDEF
ΔDEF ≅ ΔBCA
ΔBAC ≅ ΔFDE
ΔCBA ≅ ΔDFE
ΔCBA ≅ ΔDFE
Study the following graph and answer the given question.
The graph shows the height of five students in a class.
What is the respective ratio between the height of Amit and height of Rahul?
12 : 13
5 : 6
7 : 8
9 : 10
7 : 8
Which two numbers should be interchanged to make the given equation correct?
75 ÷ 5 + 15 × 4 - 17 × 3 + (60 ÷ 6) × 10 = 100
(Note: Interchange should be done of the entire number and not individual digits of a given number.)
5 and 3
3 and 6
17 and 15
3 and 4
5 and 3
Sharad starts from Point Y and drives 9 km towards the South. He then takes a left turn, drives 19 km, turns right and drives 23 km. He then takes a right turn and drives 8 km. He takes a right turn and drives 17 km. He then turns left, drives 11 km, turns left and drives 6 km to stop at Point Z. How far (shortest distance) and towards which direction should he drive in order to reach Point Y again? (All turns are 90 degrees turns only unless specified)
15 km towards the south
26 km towards the north
21 km towards the north
23 km towards the south
21 km towards the north
Given below is a statement followed by two possible reasons numbered I and II. Read the statement carefully and decide which of the two explain(s) the event/observation/information given in the statement.
Statement - Price of tomatoes has been steadily rising in the last two weeks and has crossed ₹200 per kg in most parts of the country.
Reasons:
(I) Farmers have reported a new unknown insect infestation in tomato crops, which has affected the crop output of tomatoes in many states across the country.
(II) Heavy flooding in many states during the monsoon season has destroyed many standing vegetable crops, leading to shortages in supplies.
Both I and II are possible reasons.
Only II is a possible reason.
Only I is a possible reason.
Neither I nor II is a possible reason.
Both I and II are possible reasons.
P is 30% more efficient than Q. How much time will they, working together, take to complete a job that P alone could have done in 23 days?
11 days
13 days
20 3/17 days
10 days
13 days
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements.
Statements:
Some gold are silver.
Some silver are diamonds.
Conclusions:
(I) Some diamonds are gold.
(II) Some silver are gold.
Both conclusions (I) and (II) follow
Only conclusion (I) follows
Neither conclusion (I) nor (II) follows
Only conclusion (II) follows
Only conclusion (II) follows
Who among the following is currently the Governor of the Reserve Bank of India (RBI) as of 2024?
Shaktikanta Das
Raghuram Rajan
Duvvuri Subbarao
Urjit Patel
Shaktikanta Das
Which of the following household items does NOT use the heating effect of current?
Electric stove (heater)
Electric water heater
Electric iron box
Electric motor
Electric motor
The median of the observations 4, 14, 11, 8, 7, 8, 9, 12, 4 and 6 is:
11
10
8
9
8
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which pair does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)
DK-HO
RY-VC
QX-UB
AD-GJ
AD-GJ
Which of the following Acts was amended in 2023 to enhance child protection measures in India?
Juvenile Justice (Care and Protection of Children) Act
Right to Education Act
Child Labour (Prohibition and Regulation) Act
Protection of Children from Sexual Offences Act
Juvenile Justice (Care and Protection of Children) Act
Evaluate the given expression.
(-4) + (-12) ÷ (-6)
-6
-2
-4
-8
-2
Umesh took 100 chocolates out of 250 chocolates from Ruchi. Umesh gave 20% of his chocolates to Shalaka and 35% of his chocolates to Marry. Then Ruchi gave 50% of her remaining chocolates to Umesh. Find the number of chocolates Umesh had at the end.
125
130
120
75
120
Which of the following statements is correct according to the law of conservation of mass?
Mass can be created but cannot be destroyed in a chemical reaction.
Mass can neither be created nor be destroyed in a chemical reaction.
Mass can be destroyed in a chemical reaction.
Mass can be created in a chemical reaction.
Mass can neither be created nor be destroyed in a chemical reaction.
The number of chromosomes become half in a daughter cell by the process of:
binary fission
meiosis
mitosis
amitosis
meiosis
In a certain code language,
A + B means ‘A is the mother of B’,
A – B means ‘A is the brother of B’,
A × B means ‘A is the wife of B’,
A ÷ B means ‘A is the father of B’,
and A # B means ‘A is the daughter of B’.
How is P related to K if ‘Q – R × P ÷ S – T + K’?
Daughter's son
Son's daughter
Father's father
Mother's father
Mother's father
The weights (in kg) of 9 members of a school cricket team are 50, 63, x, 62, 64, 48, 51, 55, 48. If the mean weight is 56 kg, then the value of x is _______.
48
63
64
57
57
Which of the following metals CANNOT be cut with a knife?
Sodium
Copper
Lithium
Potassium
Copper
If each vowel in the word ELASTIC is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter following it in the English alphabetical order, then which of the following letters will be fourth from the right in the group of letter thus formed?
B
T
M
U
T
The gravitational force between two objects of masses m₁ and m₂ is directly proportional to _________.
m₂-m₁
m₁-m₂
m₁ / m₂
m₁ × m₂
m₁ × m₂
The HCF of the numbers 310, 208 and 180 is:
2
4
6
8
2
Which Kashmiri wood carver was honoured with the Padma Shri award in 2024 for his contributions in the field of art?
Bashir Ahmad Mir
Shri Ghulam Nabi Dar
Mohammad Yousuf
Abdul Rashid Khan
Shri Ghulam Nabi Dar
Select the set, from the given options, in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(6, 13, 78)
(5, 22, 110)
(24, 9, 206)
(7, 13, 90)
(8, 19, 162)
(8, 12, 96)
(8, 12, 96)
The magnetic field produced by a current-carrying wire at a given point depends on which of the following factors?
Neither distance from the wire nor current through the wire
Current flowing through the wire Only
Distance from the wire Only
Both distance from the wire and current through the wire
Both distance from the wire and current through the wire
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
28 - 6 ÷ 4 + 14 × 14 = ?
171
168
169
160
171
Each letter in the word HYDROMETER is changed to the letter preceding it in the English alphabetical order and then all the letters thus formed are arranged in alphabetical order. Which of the following letters will be fifth from the right in the new group of letters thus formed?
N
Q
L
G
N
Evaluate the given expression.
16 + 8 ÷ 4 - 2 × 3
18
0
6
12
12
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which pair does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
NJ-MP
SO-RV
PL-OR
LH-KN
SO-RV
If a force 'F' acts on a body such that body gets displaced through the distance 'x' in the direction of the force, then the work done by the force is ___________.
F/x
x/F
x²F
Fx
Fx
TRPMK is related to XVTQO in a certain way based on the English alphabetical order. In the same way, LJHEC is related to PNLIG. To which of the following options is KIGDB related, following the same logic?
OMKIG
OMKIF
NLJGE
OMKHF
OMKIG
Which of the following options does NOT represent a property of solids?
It is not difficult to change their shape.
They have distinct boundaries and fixed volumes.
They have a definite shape.
They have a tendency to maintain their shape when subjected to outside force.
It is not difficult to change their shape.
In a certain code language, 'bright as day' is coded as 'cb mn ju' and 'day and night' is coded as 'mn fd rs'. How is 'day' coded in the given language?
fd
cb
ju
mn
mn
An order was placed for the supply of a carpet whose breadth was 6 m and whose length were 1.44 times the breadth. What is the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. [The cost of a carpet is Rs. 45 per sq m.]
Rs. 3642.60
Rs. 4216.20
Rs. 4082.40
Rs. 3868.80
Rs. 4082.40
The simple interest on ₹1,280 at 5% p.a. in 3 years is:
₹192
₹180
₹185
₹195
₹192
A, B, E, F, L, M and P are sitting around a circular table, facing the centre. Only three people sit between P and E when counted from the left of P. Only three people sit between M and A when counted from the right of A. L sits to the immediate right of M. F is an immediate neighbour of A as well as E. Who sits second to the left of B?
F
P
E
A
F
Simplify: (1 - sec² θ)(1 - sin θ)(1 + sin θ)(1 + cot² θ) .
2
-1
0
1
-1
What is the title of Parimal Nathwani's book, which was presented to PM Modi in 2024?
The Kingdom of Lions
The Pride of Gujarat
Call of the Gir
Asiatic Lions: A Conservation Story
Call of the Gir
If a : b = 3 : 2 and b : c = 4 : 5, then a : b : c = ?
3 : 4 : 5
6 : 4 : 5
4 : 5 : 3
6 : 5 : 4
6 : 4 : 5
Which of the following types of reaction represents formation of slaked lime from calcium oxide and water?
Decomposition reaction
Precipitation reaction
Displacement reaction
Combination reaction
Combination reaction
Which of the following is NOT an example of osmosis?
Absorption of water by plant roots
Movement of O₂ and CO₂ in and out of the living cell
Swelling of raisins when soaked in water
Gaining of water by unicellular fresh water organisms
Movement of O₂ and CO₂ in and out of the living cell
8 men and 12 women can build a wall in 10 days. 6 men and 8 women can build the same wall in 14 days. How long will take for 2 women and 1 man to build it together?
280 days
35 days
140 days
70 days
70 days
Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
EGI, KMO, QSU, WYA, ?
DGJ
CEG
DFH
CFI
CEG
Which of the following compounds is unsaturated?
C₂H₆
C₃H₈
C₂H₄
C₄H₁₀
C₂H₄
A car moving along a straight path slows down and stops. The car is under which type of motion?
Uniform motion
Non-uniform motion
Circular motion
Periodic motion
Non-uniform motion
In a row of 34 students facing North, Jignesh is 12ᵗʰ from the right end. If Kamlesh is 7ᵗʰ to the left of Jignesh, what is Kamlesh's position from the left end of the line?
19ᵗʰ
16ᵗʰ
18ᵗʰ
17ᵗʰ
16ᵗʰ
Which of the following is formed when carbon dioxide reacts with calcium hydroxide?
Carbon monoxide
Methane
Calcium oxide
Calcium carbonate
Calcium carbonate
In September 2024, Prime Minister Narendra Modi launched three _______ supercomputers, developed indigenously under the National Supercomputing Mission.
Parma Chandra
PARAM Surya
PARAM Rudra
PARAM Shakti
PARAM Rudra
RGEL is related to VKAH in a certain way based on the English alphabetical order. In the same way, HWOV is related to LAKR. To which of the following options is TICJ related, following the same logic?
XNYG
XNYF
XMYF
XMZF
XMYF
The Defence Research and Development Organisation's headquarters is located in ________.
New Delhi
Hyderabad
Bengaluru
Mumbai
New Delhi
The nature of an image formed by a concave mirror when an object is kept at the position between the principal focus and the pole of the mirror is __________.
virtual and inverted
real and inverted
real and erect
virtual and erect
virtual and erect
A dishonest dealer professes to sell goods at the cost price, but uses a false weight of 900 grams instead of a kg. His gain percentage is:
[Formula 1 above]
11%
[Formula 2 above]
10%
[Formula 2 above]
Amit bought a laptop at a 25% discount on its marked price. If he paid ₹28,500 for the laptop, what was its marked price?
₹38,000
₹37,400
₹37,000
₹38,600
₹38,000
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements.
Statements: Some cars are bikes. All bikes are trucks.
Conclusions: (I) Some trucks are cars. (II) All trucks are cars.
Only conclusion (II) follows
Only conclusion (I) follows
Neither conclusion (I) nor (II) follows
Both conclusions (I) and (II) follow
Only conclusion (I) follows
Select the correct option for liquid connective tissue.
Cartilage
Adipose connective tissue
Blood
Areolar connective tissue
Blood
The sum of a two-digit number and the number obtained by reversing the digits is 99. If the digits of the number differ by 7, then the two-digit number can be:
29
92
19
81
81
Select the number from among the given options that can replace the question mark (?) in the following series.
175 221 267 313 359 ?
413
431
405
429
405
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 649 :: 956 : Y
X = 923, Y = 738
X = 894, Y = 711
X = 944, Y = 742
X = 876, Y = 724
X = 894, Y = 711
How many such pairs of letters are there in the word JOURNEY (in forward direction), each of which has as many letter in the same sequence between them in the word as in the English alphabet?
Three
One
Four
Two
Two
India scripted history at the 2024 edition of Chess Olympiad, winning the gold medal in both the open and women's section for the ______________.
First Time
Second Time
Third time
Fourth Time
First Time
Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
SHK, WLO, APS, ETW, ?
IXB
IXA
JXA
IYA
IXA
Find the perimeter of a rhombus whose diagonals are of lengths 6 cm and 8 cm.
24 cm
25 cm
20 cm
26 cm
20 cm
Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only two people sit to the left of A. Only three people sit between G and A. C is an immediate neighbour of F and E. D sits second to the left of F. How many people sit to the left of F?
Three
Two
Four
One
Three
Which of the following organisms does NOT show asexual reproduction by means of fission?
Leishmania
Amoeba
Earthworm
Plasmodium
Earthworm
Which element is needed by the thyroid gland to produce thyroxine hormone?
Sodium
Iodine
Calcium
Potassium
Potassium
Two trains of equal length, running at the speeds of 60 km/h and 40 km/h, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
8 sec
10 sec
9 sec
7 sec
10 sec
Ms. Yanung Jamoh Lego, who has been conferred with Padma Shri award in the field of Agriculture in 2024, belongs to which state of India?
Madhya Pradesh
Rajasthan
Maharashtra
Arunachal Pradesh
Arunachal Pradesh
In a certain code language, 'RUIN' is coded as '3719' and 'RUNG' is coded as '7916'. What is the code for 'G' in the given code language?
7
6
9
1
6
When white light is incident on aglass prism, it undergoes dispersion. This phenomenon is due to ___________
refractive index of the glass being different for different colours
interference of the light
diffraction of the light
refractive index of the glass being the same for different colours
refractive index of the glass being different for different colours
What organisation is hosting the six-day international festival on Indian dance from 16 October 2024 in Delhi?
Kalakshetra Foundation
Indian Council for Cultural Relations
Sangeet Natak Akademi
Kathak Kendra
Sangeet Natak Akademi
A solution contains 40 g of common salt in 320 g of water. What is the concentration of the solution in terms of mass by mass percentage?
11.0%
11.3%
1.0%
11.1%
11.1%
Who among the following won the Gold Medal in 2020 Paralympics and Silver in 2024 Paralympics in Shooting?
Nishad Kuamr
Manish Narwal
Pramod Bhagat
Rubina Francis
Manish Narwal
By how much is 80% of 40 greater than 4/5 of 25?
12
6
9
4
12
Which of the following substances can move across the cell membrane by diffusion?
Oxygen
Nucleic acid
Proteins
Starch
Oxygen
Timed interface, section switching, instant scoring, and question-by-question analytics — free.
Start Timed Attempt