Class 10

Section-1-Mathematical Thinking:

Q.1- Three numbers which are co prime to each other are such that the product of the first two numbers is 42 and the product of the last two numbers is 78. Then, the sum of all the three numbers is:

(a) 25

(b) 32

(c) 26

(d) 13

Q.2- The greatest number which on dividing 1659 and 2036 leaves remainders 8 and 4, respectively is:

(a) 124

(b) 129

(c) 127

(d) 305

Q.3- Pick the odd one out.

(a) 22, 16, 10, 4, ...

(b) -5, -3, -1, 1, ...

(c) -3, 3, -3, 3, 3, ...

(d) 3, 1, -1, -3, ...

Q.4- If cos⁴A-sin⁴A = x, then value of x is

(a) cos²A-1

(b) 2cos²A-1

(c) 2cos²A+1

(d) cos²A+1

Q.5- Two events A and B have probabilities 0.25 and 0.50, respectively. The probability that both A and B occur simultaneously is 0.12. Then, the probability that neither A nor B occurs is:

(a) 0.13

(b) 0.38

(c) 0.63

(d) 0.37

Section-2- Application Mathematics:

Q.6- Reflection of the point (2, -7) in the y-axis is:

(a) (2, 7)

(b) (-2, -7)

(c) (-7, 2)

(d) (7, -2)

Q.7-  What is the equation of the line passing through the point (-1, -3) and having x-intercept of 4 units?

(a) 3x-5y = 12

(b) 3x+5y = 12

(c) 3x+5y = -12

(d) 3x-5y = -12

Q.8-  P and Q are the centres of two circles whose radii are 5 cm and 11 cm, respectively.  If the direct common tangent to the circles meets PQ in M . Then, M divides PQ in the ratio:

(a) 5:11 internally

(b) 11:5 internally

(c) 5:11 externally

(d) 11:5 externally

Q.9- If the circumference of two circles is same, then their area will be:

(a) unequal

(b) equal

(c) not related

(d) Can’t be determined

Q.10- A farmer has three silos. The largest silo has a diameter of 18 ft. The radius of the smallest silo is one-third as big as the diameter of the largest.  If the middle-sized has a radius that is 1 ft greater than the radius of the smallest silo, then, the area of the mid-sized silo is:

(a) 154 sq ft

(b) 132 sq ft

(c) 101 sq ft

(d) 99 sq ft

Section-3- Logical Thinking:

Q.11-   Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?

h_ t_ l_ tt_ lht_ m_ htt_ l

(a) mmhtltm

(b) hmmttlm

(c) tmhmtlm

(d) Imtmhmt

Q.12-  A and B are a married couple. C and D are brothers. C is the brother of A. How is D related to B?

(a) Brother-in-law

(b) Brother

(c) Son-in-law

(d) Cousin

Q.13-  A girl leaves from her home. She first walks 30 m in North-West direction and then 30 m in South-West direction. Next, she walks 30 m in South-East direction. Finally, she turns towards her house. In which direction is she moving?

(a) North-East

(b) North-West

(c) South-East

(d) South-West

Section-4- High Order Thinking (HOT)

Instruction: Assertion (A): The graphical representation of x+3y-12 = 0 and 2x+6y-48 = 0 will have a pair of parallel lines.

Reason (R): Let x+bxy+cx = 0 and a2x+b2y+c2 = 0 be pair of lines which are parallel, then they do not have any solution.

Q.14- Which of the following is true?

(a) Both (A) and (R) are true and (R) is the correct explanation of (A)

(b) Both (A) and (R) are true but (R) is not the correct explanation of (A)

(c) (A) is true and (R) is false

(d) (A) is false and (R) is true

Q.15- Chord AB of a circle when extended meets the tangent to the circle at point P. PT is the tangent touching the circle at point T. If lengths of PT and PB are 6 cm and 4 cm respectively, what is the length of PA?

(a) 12 cm

(b) 18 cm

(c) 27 cm

(d) 9 cm

Section-1-Science

Q.1- A chemical reaction is characterized by:

1. change in colour only.
2. change in state (phase) only.

III. change in temperature.

1. evolution of a gas.

(a) I and II

(b) I, III and IV

(c) Only II

(d) I, II, III and IV

Instruction: Consider the following statements about a balanced chemical equation.

1. It saves time and space in writing.
2. It shows the ratio of the masses of reactants and products.

III. It gives no idea about the rate of a reaction.

1. It gives no idea about the physical states of the reactants and products.

Q.2- The incorrect statement(s) is/are:

(a) I, II, IV

(b) III and IV

(c) Only IV

(d) II and III

Q.3- Which of the following ions is furnished by acids in aqueous solution?

(a) OH^- ions

(b) H⁺ ions

(c) H3O⁺ ions

(d) None of these

Q.4- Which of the following is a strong acid?

(a) nitric acid

(b) citrus acid

(c) formic acid

(d) lactic acid

Q.5-  Mendeleev’s periodic table is upset by the fact that:

(a) many elements have several isotopes.

(b) noble gases do not form compounds.

(c) some groups stand divided into two subgroups A and B.

(d) atomic weights of elements are not always whole numbers.

Q.6- Li shows resemblance in properties with Na and K. This classification is found true according to which law?

(a) Lavoisier

(b) Dobereiner

(c) Newland

(d) Mendeleev

Q.7- Assertion (A): After eating our favorite food, we feel satisfied.

Reason (R): Hypothalamus acts as the centre of satiety.

(a) Both A and R is true and R is the correct explanation of A

(b) Both A and R is true, but R is not the correct explanation of A

(c) A is true, but R is false

(d) Both A and R is false

Q.8- Some plants respond to stimuli slowly by growing in a particular direction because:

(a) information is transferred from one cell to another

(b) plant growth is directional

(c) conduction of information occur between plant and stimuli

(d) None of the above

Q.9- Conductors and insulators can be differentiated on the basis of:

(a) bounded positive charge present in outermost shell

(b) free positive charge present in outermost shell

(c) free negative charge present in outermost shell

(d) bounded negative charge present in outermost shell

Q.10-  A positively charged rod is brought near to a negatively charged electroscope and is then removed without touching it. What happens a leaf of the electroscope?

(a) It rises more and stays at that deflection.

(b) It rises more and then returns to its previous deflection.

(c) It falls and stays at that deflection.

(d) It falls and returns to its previous deflection.

Section-2-logical Thinking:

Q.11-   Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?

h_ t_ l_ tt_ lht_ m_ htt_ l

(a) mmhtltm

(b) hmmttlm

(c) tmhmtlm

(d) Imtmhmt

Q.12-  A and B are a married couple. C and D are brothers. C is the brother of A. How is D related to B?

(a) Brother-in-law

(b) Brother

(c) Son-in-law

(d) Cousin

Q.13-  A girl leaves from her home. She first walks 30 m in North-West direction and then 30 m in South-West direction. Next, she walks 30 m in South-East direction. Finally, she turns towards her house. In which direction is she moving?

(a) North-East

(b) North-West

(c) South-East

(d) South-West

Section-3- High Order Thinking (HOT):

Q.14- A student took a 2 cm long magnesium ribbon and weighted it. After that, he burned the ribbon in air. What changes did he observe during this reaction?

1. Magnesium ribbon converts into powder.
2. It burns with dazzling white light.

III. The weight of the powder is higher than the weight of the magnesium ribbon taken.

(a) I and II

(b) I and III

(c) II and III

(d) All of these

Instruction: Four processes are used to charge an isolated metal sphere.

1. The sphere is earthed by touching it.
2. The earth connection is removed from the sphere.
3. A charged rod is brought close to the sphere.
4. The charged rod is removed.

Q.15- Which of the following option arranges the four processes sequentially?

(a) P Q R S

(b) P R S Q

(c) R P Q S

(d) R S P Q

Section-1-Basic Structure

Instruction:(1-2)Choose the correct Demonstrative/ Interrogative or Relative Pronouns.

Q.1-  __________ will we do if it rains on the day of our picnic?

(a) Who

(b) Whom

(c) Which

(d) What

Q.2- The family __________ bought the cottage next door is moving in next week.

(a) this

(b) that

(c) these

(d) those

Instruction: (3-4) Choose the appropriate prepositions for the following sentence.

Q.3- She insists ______________ wearing that gaudy dress.

(a) on

(b) to

(c) for

(d) up

Q.4- It’s __________ time you told her the truth!

(a) on

(b) in

(c) with

(d) about

Instruction: (5-12) complete the following similes by choosing the correct word.

Q.5- Without her glasses on, my grandmother was as blind as a ______________.

(a) Bat

(b) owl

(c) eel

(d) snake

Q.6- My joke about the stray dogs went down like a lead ______________ There was just an embarrassed silence.

(a) balloon

(b) ball

(c) weight

(d) load

Section-2-Reading:

Instruction: Read the passage carefully and choose the best answer to each question out of the four alternatives.

Everyone expected Mary Zophres to win for her retro-revival Technicolor others in La La Land - the eventual winner, Colleen Atwood for Fantastic Beasts and Where to find them, seemed surprised too. But as other awards began to slip away from the well-reviewed musical, a theme could be teased out. What is Fantastic Beasts if not a plea for equal treatment of people, magical or otherwise? Then, Arrival, a film about the inherent benignity of aliens (read immigrants) won for Best Sound Editing. Hacksaw Ridge, which is, in a way, an anti-guns movie, won in two categories. Fences, about an African-American father who fears racial discrimination, took home the Oscar for Best Supporting Actress. Earlier, Moonlight, featuring two minority communities (black and gray), won for Best Supporting Actor. This turned out to be one of those years the Oscar voter was underestimated. As a majority of voters are actors, there was the tendency to think they’d reward La La Land, a celebration of creation: the heroine wants to make movies, the hero wants to make jazz. It looked like the year of The Artist all over again.

Q.7- What does the lead female actor in La La Land want to do?

(a) Make jazz

(b) Make movies

(c) Make music

(d) Make magic

Q.8- Which of the following movies is about kindness of aliens?

(a) Hacksaw Ridge

(b) Arrival

(c) Fences

(d) Moonlight

Q.9- Why was it assumed that La La Land would win a lot of awards?

(a) Because the movie celebrates creation

(b) Because majority of voters are actors

(c) Because it is a movie about making movies and jazz

(d) Because it is a retro-revival Technicolor movie

Q.10- Which movie for sure won two awards?

(a) Arrival

(b) Fences

(c) Moonlight

(d) Hacksaw Ridge

Q.11- Colleen Atwood won which Award?

(a) Best Costume Design for La La Land

(b) Best Supporting Actor for Fantastic Beasts and Where to Find Them

(c) Best Supporting Actor for La La Land

(d) Best Costume Design for Fantastic Beasts and Where to Find Them

Section-3- Writing and Speaking:

Instruction: (12-13)Mark the most appropriate word for the given descriptions.

Q.12- List of the business or subjects to be considered at a meeting.

(a) Schedule

(b) Timetable

(c) Agenda

(d) Plan

Q.13- A person who knows many foreign languages.

(a) Linguist

(b) Grammarian

(c) Polyglot

(d) Bilingual

Q.14- If you’re having company for dinner, try to get as much done in advance as possible. _________ , set the table the day before.

(a) Moreover

(b) In contrast

(c) Similarly

(d) For instance

Section-4- High Order Thinking (HOT):

Instruction: Select the most appropriate answer for the following.

Q.15- How would someone probably respond if you called him or her an unflattering name?

(a) resolve

(b) defraud you

(c) scowl at you

(d) reserve you