Part – 1 English
Who is the hero in “The Count’s Revenge”?
Answer: The Count of Monte Cristo
The Synonym of Engrossed is?
Answer: Absorbed
I congratulated him _____ his success.
Answer: On
My friend and benefactor ___ died.
Answer: Has
The Antonym of ABUNDANT is?
Answer: Scarce and Minute ( Both B and C)
The Synonym of COLLAPSE is?
Answer: Both A and B (Break down & Failure)
Study hard, _____ you will fail the test.
Answer: Or
You have staggered by the police brutality. The Synonym of Brutality is?
Answer: Cruelty
He is taller _______ any other boy in the class.
Answer: Than
William Wordsworth is a _____?
Answer: Romantic poet
He laughs as if he _____ mad.
Answer: Were
It is not the casting pearls before ______?
Answer: Swine
She was yelling ______ her students.
Answer: At
The Synonym of VEXING is?
Answer: Both A and B (Disturbing & Annoying)
#489. Things are managed with a great sense of responsibility and “accuracy”. The Synonym of Accuracy is?
Answer: Precision
If he works hard, he _________ the examination.
Answer: Will pass
Her voice sounded in my ears like a summons to damnation. The Synonym Damnation is?
Answer: Condemnation
Change the narration: “Please don’t go away,” he said to me.
Answer: He requested me not to go away.
The Antonym of Mammoth is?
Answer: Small
Autistic people usually have unexpected and bizarre responses. The Synonym of Bizarre is?
Answer: Strange
“This man is free from service bands…” are famous lines in the poem _____?
Answer: Character of Happy Life
The enemy’s attempt at a blockade was unsuccessful. The Synonym of Blockade is?
Answer: Closure
The Antonym of FOREMOST is?
Answer: Unimportant / Hindmost
Generally, our memories cluster around certain topics. The Synonym of Cluster is?
Answer: Bunch
We are answerable ______ God _____ our actions.
Answer: To – For
She _____ ill for a week.
Answer: Has been
Part-I: Teaching Methodology
A ______ is a senior employee who sponsors and supports new employees.
Answer: Mentor
Process when new information is integrated into existing knowledge?
Answer: Assimilation
Test developed to measure minimum basic knowledge and skills?
Answer: Mastery test
Pedagogy, literally translated, is the art or science of ______?
Answer: Teaching children
Education acquired without any specific purpose, fixed period and place?
Answer: Informal Education
The achievement gained during the career is called ______?
Answer: Accomplishment
Micro teaching is a ______?
Answer: Teacher training technique
Workplace conflicts may be resolved by the principal using ______?
Answer: Win-win approach
A prolonged tension causes _____?
Answer: Stress
Job shadowing is normally conducted on ______?
Answer: Site
Trial, error and imitation is a(n) _____?
Answer: Mechanism
I.Q of a student having same physical and mental age will be _____?
Answer: 100
The ______ violates the unity of command concept.
Answer: Matrix structure
In multiple-choice item, the stem of the items should be _____?
Answer: Meaningful
A value which is constantly described and desirable in a subject is called ______?
Answer: Conventional
The most important person in the curriculum implementation process is ______?
Answer: Teacher
The discipline of educational management focuses on _____?
Answer: Men
______ improves the productive contribution of people.
Answer: Personnel management
Evaluation answers the question?
Answer: How good
Sum of knowledge, disposition, and expertise of people in an organization?
Answer: Human capital
The statement of problem in Multiple Choice Questions (MCQs) is _____?
Answer: Stem
Characteristics of information used to investigate an event are called ______?
Answer: Attributes
What do you mean by school?
Answer: All of these (A social laboratory for the children, A model social centre & Responsible for awakening the sense of collective life)
Test used to measure many skills with just a few items for each skill?
Answer: Survey
Administrative decision making is assumed to be ______?
Answer: Rational
Part – II Mathematics
Q: Check linear independence
A. Det ≠ 0
Linearly independent
Q: Fourier series of f(x)=x
A. x = 2 Σ (-1)ⁿ⁺¹ sin(nx)/n
Q: If y = xˣ, show that derivative
A. dy/dx = xˣ (ln x + 1)
Q: Area of triangle
A. Area = 7
How much 60% of 50 is greater than 40% of 30?
Solution:
60% of 50 = 0.6 × 50 = 30
40% of 30 = 0.4 × 30 = 12
Difference = 30 – 12 = 18
Answer: 18
What is the name of a triangle with two sides of equal length?
Solution:
A triangle with two equal sides is called Isosceles.
Answer: Isosceles
What equal amount of coins of Rs 5, Rs 2, Rs 1 makes a total of 1152?
Solution:
Let number of each coin = x
Total = 5x + 2x + 1x = 8x = 1152 → x = 1152 ÷ 8 = 144
Answer: 144
How many times in a day are the hands of clock in straight line but opposite in direction?
Solution:
Hands are opposite (180°) twice every hour except the 12th hour overlaps → 12 × 2 – 2 = 22 times
Answer: 22
If an increase of 30% charged the price of shirt to Rs. 520, then the original price of shirt is _______?
Solution:
Let original price = x
x + 30% of x = 520 → x(1 + 0.3) = 520 → x × 1.3 = 520 → x = 520 ÷ 1.3 = 400
Answer: 400
Two automobiles are 75 kilometers apart and travelling towards each other. One at 60 km/h, the other at 40 km/h. In how many minutes will they meet?
Solution:
Relative speed = 60 + 40 = 100 km/h
Time = distance ÷ speed = 75 ÷ 100 = 0.75 hours = 0.75 × 60 = 45 minutes
Answer: 45 minutes
What is the length of each side of a square whose area is 576 cm²?
Solution:
Side = √Area = √576 = 24 cm
Answer: 24 cm
The sum of the two numbers is 28 and their difference is 4?
Solution:
Let numbers be x and y
x + y = 28, x – y = 4 → Solving: x = 16, y = 12 → Numbers: 16, 12 (smaller first: 12,16)
Answer: 12,16
The sum of four consecutive even numbers is 292. What is the smallest number?
Solution:
Let numbers be x, x+2, x+4, x+6
Sum = 4x + 12 = 292 → 4x = 280 → x = 70
Answer: 70
In a certain class the ratio of men to women is 3:5. If the class has 24 people in it, how many are women?
Solution:
Total parts = 3+5=8
Each part = 24 ÷ 8 = 3 → Women = 5 × 3 = 15
Answer: 15
Insert the missing number: 14, 9, 5, 21, 8, 13, 28, 9, _____?
Solution:
Pattern alternates subtraction and addition: 14–5=9, 9–4=5, 5+16=21, 21–13=8, 8+5=13, 13+15=28, 28–19=9 → Next = 9+9 = 18
Answer: 18
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. Find the length of the ladder.
Solution:
Ladder = hypotenuse, base = 4.6 m, angle = 60°
cos 60° = base / hypotenuse → 0.5 = 4.6 / L → L = 4.6 ÷ 0.5 = 9.2 m
Answer: 9.2 m
Find the missing term in the given pattern: H38, K33, N28, ____?, T18.
Solution:
Letters H→K→N→Q→T (skip 2 each time), Numbers: 38→33→28→23→18
Answer: Q23
If 6 men can make 10 sofas in 2 days, then 8 men can make 8 sofas in ______?
Solution
Step 1: Calculate total man-days for the initial work:
6 men × 2 days = 12 man-days to make 10 sofas
Step 2: Man-days required per sofa:
12 ÷ 10 = 1.2 man-days per sofa
Step 3: Total man-days for 8 sofas:
8 × 1.2 = 9.6 man-days
Step 4: Time required for 8 men:
9.6 ÷ 8 = 1.2 days
Answer: 1.2 days
If √n/3 is an even integer, which of the following could be the value of n?
Solution:
Let √n / 3 = 2 → √n = 6 → n = 36 (even integer)
Check options: 144 → √144/3 = 12/3=4 → even integer → correct
Answer: 144
Complete the series: 4, 8, 9, 13, 14, 18, _____?
Solution:
Pattern: +4, +1, +4, +1, +4 → Last term: 18+1=19
Answer: 19
Which one of the following options is suitable to fill the blank? SCD, TEF, UGH, _____, WKL.
Solution:
Answer: VIJ
Solution:
First letters go S → T → U → V → W.
The next two letters form pairs: CD → EF → GH → IJ → KL.
Combine V + IJ → VIJ.
Which one of the following is least like the other three? Football, Baseball, Golf, Billiard
Solution:
All are outdoor sports except Billiard
Answer: Billiard
If the sum of two numbers is 16 and their product is 63. Then the smaller number is ______?
Solution:
Let numbers x and y → x + y = 16, xy = 63
x² – 16x + 63=0 → x=7, y=9 → Smaller =7
Answer: 7
Some months have 31 days, how many have 30?
Solution:
4 months have 30 days: April, June, September, November
Answer: 4
What is the probability of getting one Head and one Tail when a coin is tossed twice?
Solution:
Sample space = {HH, HT, TH, TT} → favorable outcomes = {HT, TH} → Probability = 2/4 = 1/2
Answer: 1/2
The sum of first 10 natural numbers is equal to ____?
Solution:
Sum = n(n+1)/2 = 10×11/2 = 55
Answer: 55
The average of first 10 even numbers is _______?
Solution:
First 10 even numbers = 2,4,6,…,20 → Sum = 2+4+…+20 = 110 → Average = 110 ÷ 10 = 11
Answer: 11
If GOAL is coded as LTFQ, then what is the code for BEAT?
Solution:
Each letter shifted +7 positions: B+7=G, E+7= L → Follow same → BEAT = GJFY
Answer: GJFY
What is the Arithmetic Mean of the following data 3, 6, 9, 12, 15?
Solution:
Sum = 3+6+9+12+15=45 → Number of terms=5 → Mean = 45/5 = 9
Answer: 9
60% of a number is added to 120, the result is the same number. Find the number?
Solution:
Let number = x → x = 0.6x + 120 → x – 0.6x = 120 → 0.4x = 120 → x = 120/0.4 = 300
Answer: 300
If you arrange the letters “BARBIT”, you would have the name of a(n) ______?
Solution:
Rearranging letters → Animal = Rabbit
Answer: Anima
Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides.
Solution:
Formula = nC3 = 8C3 = 8×7×6/6=56
Answer: 56
Complete the number series: 1, 6, 13, 22, 33, ______?
Solution:
Differences: 5,7,9,11 → Next difference =13 → 33+13=46
Answer: 46
Arrange the words in a meaningful sentence: 1. Key 2. Door 3. Lock 4. Room 5. Switch on
Answer: 1, 3, 2, 4, 5
Solution:
Step 1: Key – you need the key to start.
Step 2: Lock – insert the key into the lock.
Step 3: Door – open the door after unlocking.
Step 4: Room – enter the room.
Step 5: Switch on – finally, switch on the light.
If A={1,2,3,4,5} and B={1,2,5,9}, which is true?
Solution:
Common elements = 1,2,5 → Sets are overlapping
Answer: A and B are overlapping
If 28 men can finish a work in 15 days, 21 men can finish the same work in ______?
Solution:
Work = 28×15 = 420 man-days → 21 men → Days = 420/21 = 20 days
Answer: 20 days
After decreasing 24% the price of an article costs Rs. 912. Find the actual cost of the article.
Solution:
Let original price = x → x – 24% of x = 912 → 0.76x = 912 → x = 912/0.76 = 1200
Answer: 1200
Today is Maryam’s birthday. After one year, she will become two times as she was ten years ago. What is the current age of Maryam?
Solution:
Let age = x → x +1 = 2(x – 10) → x +1 = 2x –20 → 2x – x = 21 → x = 21
Answer: 21
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Solution:
Let youngest = x → x + x+3 + x+6 + x+9 + x+12 = 50 → 5x+30=50 → 5x=20 → x=4
Answer: 4 years
Find the missing letter: Group 1 = B, E, H Group 2 = M, O, Q Group 3 = R, _____, T.
Solution:
Middle letter = S (pattern moves forward 3,2,2 etc)
Answer: S
The total sum of all sides of a closed surface is called?
Solution:
The perimeter of a closed figure is the sum of its sides.
Answer: Perimeter
If a/2 + 4 = 7/2, then a = ______?
Solution:
a/2 +4 = 7/2 → a/2 = 7/2 – 8/2 = –1/2 → a = –1
Answer: –1
Visitors were charged Rs. 15 each on the first day, Rs. 7.50 on the second day and Rs. 2.50 on the third day. Total attendance ratio = 2:5:13. Find average charge per person.
Solution:
Let number of visitors = 2x,5x,13x → Total visitors = 20x
Total charge = 2x15 +5x7.5 +13x*2.5 = 30x+37.5x+32.5x=100x → Average = 100x/20x=5
Answer: Rs. 5.00
If 10 workers can make 10 tables in 10 days, then how many days would it take for 5 workers to make 5 tables?
Solution:
Work = 10×10=100 worker-days → 5 workers → 100/5=20 days for 10 tables → For 5 tables = 10 days
Answer: 10
There are 12 pens on the table, you took 3. How many do you have?
Solution:
You took 3 pens → You have 3
Answer: 3
25% of 30% of 45% is equal to _____?
Solution:
0.25 × 0.30 × 0.45 = 0.03375
Answer: 0.03375
If A and B are in the ratio 3:4 and B and C are in the ratio 12:13, then A and C will be in the ratio ______?
Solution:
A:B = 3:4, B:C=12:13 → Scale B: multiply A:B by 3 → A:C=9:13
Answer: 9:13
Co-ordinates of origin are _______?
Solution:
Origin = (0,0)
Answer: (0,0)
What is 45% of 300?
Solution:
45% of 300 = 0.45×300=135
Answer: 135
The ratio of the length of a rod and its shadow is 1:√3. The angle of elevation of the sun is _____?
Solution:
tan θ = height/length of shadow = 1/√3 → θ = 30°
Answer: 30°
1 acre is equal to ______ square foot.
Solution:
1 acre = 43560 sq. ft
Answer: 43560 sq. ft
85% of a number is added to 24, the result is the same number. Find the number?
Solution:
Let number = x → 0.85x + 24 = x → 0.15x = 24 → x = 24/0.15 = 160
Answer: 160
An angle measuring less than 90 degree is called?
Solution:
Angle < 90° = Acute angle
Answer: Acute angle
In how many ways 2 students can be chosen from the class of 20 students?
Solution:
20C2 = 20×19/2=190
Answer: 190
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