Which one among the following chemicals is used as washing soda?

- Calcium carbonate
- Calcium bicarbonate
- Sodium carbonate
- Sodium bicarbonate

Which one of the following gases is placed second in respect of abundance in the Earth's atmosphere?

- Oxygen
- Hydrogen
- Nitrogen
- Carbon dioxide

Zinc is used to protect iron from corrosion because zinc is

- more electropositive than iron
- cheaper than iron
- a bluish white metal
- a good conductor of heat and electricity

How much CO_{2} is produced on heating of 1 kg of carbon?

- 11/3 kg
- 3/11 kg
- 4/3 kg
- 3/4 kg

Which one among the following waves carries the maximum energy per photon?

- X-rays
- Radio waves
- Light waves
- Microwaves

Step-up transformers are used for

- increasing electrical power
- decreasing electrical power
- decreasing voltage
- increasing voltage

If some object is weighed when submerged in water, what will happen to its weight compared to its weight in air?

- Increase
- Decrease
- Remain exactly the same
- Increase or decrease cannot be predicted

Concave mirror is used in headlights of vehicles, because it

- focuses light from the bulb onto nearby vehicles
- sends parallel rays
- fits well into the shape of the headlight
- is cheaper than other mirrors

Water boils at a lower temperature at high altitudes, because

- the air pressure is less
- outside temperature is less
- less latent heat is less
- None of the above

Which one of the following microbes causes acidification and curdling of milk?

- Lactic Acid Bacillus
- Clostridium botulinum
- Vibrio cholerae
- Saccharomyces cerevisiae

The term 'Probiotic' is applied to

- Organic food
- Antacid
- Antibiotic
- Live microbial food supplement

Which of the following statements about magnetite ore of iron is/are correct?

- It is known as black ore.
- It contains 60% to 70% of pure iron.
- It possesses magnetic properties.

Select the correct answer using the codes given below:

- 1 only
- 2 and 3 only
- 1 and 3 only
- 1, 2 and 3

The compound C_{6}H_{12}O_{4} contains

- 22 atoms per mole
- twice the mass percent of H as compared to the mass percent of C
- six times the mass percent of C as compared to the mass percent of H
- thrice the mass percent of H as compared to the mass percent of 0

When pure water boils vigorously, the bubbles that rise to the surface are composed primarily of

- air
- hydrogen
- hydrogen and oxygen
- water vapour

The ionization energy of hydrogen atom in the ground state is

- 13.6 MeV
- 13.6 eV
- 13.6 Joule
- Zero

Which one of the following waves is used for detecting forgery in currency notes?

- Ultraviolet waves
- Infrared waves
- Radio waves
- Microwaves

The mirrors used as rear-view mirrors in vehicles are

- concave
- convex
- cylindrical
- plane

How long does light take to reach the Earth from the Sun?

- About 4 minutes
- About 8 minutes
- About 24 minutes
- About 24 hours

Electron emission from a metallic surface by application of light is known as

- Thermionic emission
- Photoelectric emission
- High field emission
- Autoelectronic emission

In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mango are dropped simultaneously from the same height. The time taken by them to reach the bottom is t_{1}, t_{2} and t_{3} respectively. In this situation, we will observe that

- t
_{1}> t_{2}> t_{3} - t
_{1}> t_{3}> t_{2} - t
_{3}> t_{1}> t_{2} - t
_{1}= t_{2}= t_{3}

The force acting on a particle of mass m moving along the x-axis is given by F(x) = Ax^{2} - Bx. Which one of the following is the potential energy of the particle?

- 2Ax - B
- -x
^{2}/6 (2Ax - 3B) - Ax
^{3}- Bx^{2} - Zero

An object moves in a circular path with a constant speed. Which one of the following statements is correct?

- The centripetal acceleration of the object is smaller for a gentle curve (i.e., curve of larger radius) than that for a sharp curve (i.e., curve of smaller radius).
- The centripetal acceleration is greater for a gentle curve than that for a sharp curve.
- The centripetal acceleration is the same for both, the gentle and sharp curves.
- The centripetal acceleration causes the object to slow down.

Golden rice is a genetically-modified crop plant where the incorporated gene is meant for biosynthesis of

- Omega-3 fatty acids
- Vitamin A
- Vitamin B
- Vitamin C

Which one of the following is the scientific name of the causal organism of elephantiasis?

- Ascaris lumbricoides
- Culex pipiens
- Wuchereria bancrofti
- Fasciola hepatica

Which one of the following elements is used as a timekeeper in atomic clocks?

- Potassium
- Caesium
- Calcium
- Magnesium

Which one of the following elements is involved in the control of water content of the blood?

- Potassium
- Lithium
- Rubidium
- Caesium

Which one of the following gases dissolves in water to give acidic solution?

- Carbon dioxide
- Oxygen
- Nitrogen
- Hydrogen

Which one of the following elements is essential for the formation of chlorophyll in green plants?

- Calcium
- Iron
- Magnesium
- Potassium

Why is argon gas used along with tungsten wire in an electric bulb?

- To increase the life of the bulb
- To reduce the consumption of electricity
- To make the emitted light colored
- To reduce the cost of the bulb

Which one of the following is the correct relation between the Kelvin temperature (T) and the Celsius temperature (t_{c})?

- These are two independent temperature scales
- T = t
_{c} - T = t
_{c}- 273.15 - T = t
_{c}+ 273.15

Sound waves cannot travel through a

- copper wire placed in air
- silver slab placed in air
- glass prism placed in water
- wooden hollow pipe placed in vacuum

There are five hobby clubs in a college viz., photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days?

- 5
- 3
- 18
- 10

Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

- 75 m 60 cm
- 50 m 40 cm
- 25 m 20 cm
- 75 m 60 cm

In a fire range, four shooters are firing at their respective targets. The first, the second, the third and the fourth shooter hit the target once in every 5, 6, 7 and 8 seconds respectively. If all of them hit the target at 9:00 am, when will they hit their target together again.

- 9:04 am
- 9:08 am
- 9:10 am
- 9:14 am

What is the number of integral solutions of the equations HCF(a,b) = 5 and a + b = 65?

- Exactly one
- Infinitely many
- Less than 65
- None

If for integer a, b and c if HCF(a,b) = 1 and HCF(a,c) = 1, then which one of the following is correct?

- HCF(a,bc) = a
- HCF(a,bc) = b
- HCF(a,bc) = 1
- None

What is the HCF of 8(x^{5} - x^{3} + x) and 28(x^{6} + 1)?

- (x
^{4}+ 1 - x^{2}) - 4(x
^{4}+ 1 - x^{2}) - 2(x
^{4}+ 1 - x^{2}) - None

The product of two numbers is 6912 and their GCD is 24. What is their LCM

- 296
- 288
- 286
- 280

What is the LCM of 2/3, 7/9, 14/15?

- 14/3
- 1/3
- 2/3
- 7/3

The sum of two positive integers is 52 and their LCM is 168. What is the ratio between the numbers?

- 2 : 3
- 5 : 4
- 7 : 6
- 7 : 8

The HCF of two expressions p and q is 1. What is the reciprocal of their LCM?

- p + q
- p – q
- pq
- (pq)
^{-1}

What is the LCM of x^{3} + 8, x^{2} + 5x + 6 and x^{3} + 4x^{2} + 4x?

- x (x + 2)
^{2}(x + 3) (x^{2}- 2x + 4) - x (x - 2)
^{2}(x - 3) (x^{2}+ 2x + 4) - (x + 2)
^{2}(x + 3) (x^{2}- 2x + 4) - (x - 2)
^{2}(x - 3) (x^{2}- 2x + 4)

A student on her first 3 tests receive an average score of N points. If she exceeds her previous average score by 20 points on her fourth test, then what is the average score for the first 4 tests?

- N + 10
- N + 4
- N + 5
- N + 20

In a class of 45 students, a boy is ranked 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end?

- 25th
- 26th
- 28th
- 27th

In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food?

- 10 days
- 25 days
- 20 days
- 15 days

A contract on construction job specifies a penalty for delay in completion of the work beyond a certain date is as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc. The penalty for each succeeding day being 50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days?

- Rs. 4950
- Rs. 4250
- Rs. 650
- Rs. 3600

A sum of Rs.700 has to be used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is Rs.20 less than its preceding prize, what is the least value of the prize?

- Rs. 30
- Rs. 40
- Rs. 60
- Rs. 80

There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10% student play both the games. What is the number of students who play neither cricket nor football?

- 25
- 20
- 18
- 15

Out of 120 applications for a post, 70 are male and 80 have a driver's license. What is the ratio between the minimum to maximum number of males having driver's license?

- 2 to 3
- 3 to 7
- 1 to 2
- 5 to 7

In the figure given, LM is parallel to QR. If LM divides the triangle PQR such that area of trapezium LMRQ is two times the area of triangle PLM, then what is PL/PQ equal to?

- 1/3
- 1/√2
- 1/√3
- 1/2