JIPMAT 2023
Quantitative Ability
- Given below are two statements:
Statement (I): 4 boys and 8 girls completed 1/3 of work in 5 days. After that 3 boys and 3 girls increased, and they completed another 1/3 of work in 3 days. If the remaining work is to be completed in 2 days, then the number of girls that should be increased is 32.
Statement (II): The ratio of time taken by A and C to do a work is 1:2 respectively. B is 166 (2/3)% more efficient than C. Time taken by A to complete 6% of work is 6 days. Then, the time taken by B and C together to complete the whole work is 54 (6/11) days.
In light of the above statements, choose the most appropriate answer.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- The number of integral solutions of the equation (7(y+)-2(y^{2}+)=9) is:
A. 0
B. 1
C. 2
D. 3
- Given below are two statements:
Statement (I): The difference, the sum, and the product of two numbers are in the ratio 1:5:12. The product of the two numbers is 18.
Statement (II): The last digit in the decimal representation of (2^{91}) is 6.
In light of the above statements, choose the most appropriate answer.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- In a Women’s Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is:
A. 301
B. 300
C. 299
D. 298
- The total number of seconds in (P) weeks, (P) days, (P) hours, (P) minutes, and (P) seconds is:
A. 11580P
B. 11581P
C. 694860P
D. 694861P
- Sumit has Rs. 90,000. He purchases three items A, B, and C for Rs. 15,000, Rs. 13,000, and Rs. 35,000 respectively and puts the remaining money in a bank deposit that pays compound interest @15% per annum. After 2 years, he sells the three items at 80% of their original price and withdraws his entire money from the bank. What is the total change in his asset?
A. -4.152%
B. 3.152%
C. -4.325%
D. 5.552%
- How many proper divisors (that is, divisors other than 1 or 7200) does 7200 have?
A. 54
B. 52
C. 20
D. 18
- If the difference between the circumference and radius of a circle is 37 cm, using (=), what is the circumference (in cm) of the circle?
A. 42 cm
B. 46 cm
C. 44 cm
D. 38 cm
- Let A and B be two events such that (P(A)=0.25), (P(B)=0.50), and (P(AB)=0.14). The probability that neither A nor B occurs is:
A. 0.09
B. 0.19
C. 0.39
D. 0.29
- Which of the following statements are True in the context of circles?
A. A tangent of a circle touches it at two points.
B. A circle can have two parallel tangents at the most.
C. There is no tangent to a circle passing through a point inside the circle.
A. A and B Only
B. A, B and C
C. A and C Only
D. B and C Only
- (=)
A. (+1)
B. (+)
C. (-)
D. (-)
- Which of the following statements are True?
A. If the mean of x, y, z is y, then (x+z=2y).
B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43.
C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4, and 3 is 3.
A. A and B only
B. A and C only
C. B and C only
D. A, B and C
- If (k^{2}-1) is divisible by 8, then (k) is:
A. an integer
B. a natural number
C. an even integer
D. an odd integer
- A 30 meter deep well, with a diameter of 7 meters is dug and the earth from digging is evenly spread out to form a platform of size 22 meters by 14 meters. The height of the platform is:
A. 3.75 meter
B. 2.5 meter
C. 3 meter
D. 4 meter
- If the eight-digit number (5a32465b) is divisible by 88, then (2a+5b=)
A. 36
B. 38
C. 40
D. 24
- Sonali buys 2 Pen Drives A and B; their cost prices are in the ratio 5:6. If she sells them at a 10% profit each, she earns a total profit of ₹22. What will be her total profit, if she sells Pen Drive A at a 20% loss and Pen Drive B at a 30% profit?
A. ₹16
B. ₹13
C. ₹14
D. ₹24
- If (-), the value of ({4}+{4}) is:
A. 1
B. ()
C. ()
D. ()
- The mean of 25 observations is 36. If the mean of the first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is:
A. 16
B. 23
C. 21
D. 18
- The graph of a polynomial (y=f(x)) is shown in the figure. The number of its zeros is:
A. 4
B. 3
C. 2
D. 1
- Given below are two statements:
Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is (1540 ^3) (Take (=)).
Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm, is 3872 cm² (Take (=)).
In light of the above statements, choose the most appropriate answer.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- If the pair of linear equations (2x+3y=7) and (2px+(p+q)y=28) has an infinite number of solutions, then (p, q):
A. (8,4)
B. (4,8)
C. (3,6)
D. (6,3)
- In (ABC), (B=90^{}), (BC=5 ), (AC-AB=1 ). The value of () is:
A. ()
B. ()
C. 2
D. ()
- In a survey of 100 students, the number of students studying various languages were found. Based on the data, which of the statements are true?
A. Number of students who were studying Hindi is 18.
B. Number of students who were studying English and Hindi is 3.
C. Number of students who were studying English, Hindi and German is 3.
A. A and B only
B. A and C only
C. B and C only
D. A, B and C
- Amicable numbers are a pair of distinct natural numbers (a, b) such that the sum of the proper divisors of a equals b and the sum of the proper divisors of b equals a. Given that (220, y) is a pair of amicable numbers, y equals:
A. 225
B. 284
C. 404
D. No Answer
- Given below are two statements in the context of throwing two different dice together:
Statement (I): The probability that the two numbers obtained have an even sum is 0.50.
Statement (II): The probability that the two numbers obtained have an even product is 0.75.
In light of the above statements, choose the most appropriate answer.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- The expression (2x{3}+ax{2}+bx+3) where a and b are constants, has a factor of (x-1) and leaves a remainder of 15 when divided by (x+2). Then, ((a,b)=)
A. (-3,8)
B. (3,-8)
C. (-3,-8)
D. (3,8)
- Aman takes half the time in rowing a certain distance downstream than upstream.
Statement (I): Ratio of the speed of the boat in still water to the speed of the water current is 2:1.
Statement (II): If the speed of the boat in still water is 6 km per hour, then the speed of the water current is 2 km per hour.
Choose the most appropriate answer.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- The probabilities that A, B, and C can solve a problem independently are (1/3, 1/3,) and (1/4) respectively. The probability that only two of them are able to solve the problem is:
A. ()
B. ()
C. ()
D. ()
- Given below are two statements:
Statement (I): ((x{2}+3x+1)=(x-2){2}) is not a quadratic equation.
Statement (II): The nature of roots of the quadratic equation (x^{2}+2x+3=0) are real and equal.
In light of the above statements, choose the most appropriate answer.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- Two identical solid cubes of side 5 cm are joined end to end. The total surface area of the resulting cuboid is:
A. (300 ^2)
B. (250 ^2)
C. (225 ^2)
D. (200 ^2)
- Assertion [A]: Sum of the first hundred even natural numbers divisible by 5 is 45050. Reason (R): Sum of the first n-terms of an Arithmetic Progression is given by (S=(n/2)(a+l)) where a = first term, l = last term.
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 but (R) is false.
D. [A] is false but (R) is true.
- The area of the circle that can be inscribed in a square of side 6 cm is:
A. (36)
B. (18)
C. (12)
D. (9)
- The radii of two cones are in the ratio 2:3 and their volumes are in the ratio 1:3. The ratio of their heights is:
A. 3:2
B. 1:2
C. 3:4
D. 2:3
- Based on the provided table of student marks, what is the overall percentage of students A, B and C respectively?
A. 68.44, 69.29, 68.94
B. 68.94, 68.14, 68.29
C. 68.29, 68.14, 68.94
D. No Answer
- Find the average marks obtained by students in Economics and Physics respectively.
A. 84, 67
B. 65, 83
C. 66, 85
D. 56, 70
- How many students have obtained more than 65% overall marks in all the subjects and who are those students?
A. 3; A, B, C
B. 2; B and C
C. Only one; B
D. 3; B, C, D
- In which subject is the overall percentage maximum and what is the percentage?
A. Biology, 72%
B. Physics, 70%
C. Maths, 71%
D. English, 71%
- Based on the pie chart of brand sales, if in 2006, sales of brand A increased by 50% and brand E increased by 10%, with other brands remaining the same, by what percentage did total sales grow in 2006 compared to 2005?
A. 124%
B. 60%
C. 24.70%
D. 12.10%
- Considering the same sales changes as the previous question, if total sales in 2006 were ₹2,16,000, what was the approximate sale of brand A in 2005?
A. ₹1,23,000
B. ₹1,08,600
C. ₹77,947
D. ₹1,16,920
- In 2006, if sales value of B increases by 10% and that of A decreases by 10%, what is the percentage change in total sales, if sales of all other brands remain the same?
A. No change
B. Decrease by 3%
C. Increase by 6%
D. Decrease by 1%
- Five people A, B, C, D, and E participated in a race. D ran faster than E but slower than B. C ran slower than E but was not the slowest. Who ran at the fastest speed?
A. A
B. C
C. B
D. D
- BJMS: EMPV :: AWPL:?
A. DYRO
B. CYRN
C. DZSO
D. BYTN
- Based on the table of vehicles passing a toll plaza, in which week of September was the total number of vehicles the second highest?
A. III
B. IV
C. I
D. II
- What was the average number of buses passing through the toll plaza per week?
A. 2530
B. 2860
C. 2070
D. 2440
- In a certain coded language CAT is coded as 6423. How will LION be coded in that language?
A. 14131716
B. 961211
C. No option provided
D. No option provided
- Suppose that the year 2008 starts on a ‘Monday’. The calendar for the year 2009 will be the same in the year:
A. 2015
B. 2011
C. 2013
D. 2016
- Two cars A and B start from opposite ends X and Y of a 120 km highway. Car A travels 30 km, turns right for 15 km, turns left for 30 km, and then returns to the highway. Meanwhile, car B travels 35 km along the highway. What is the distance between the two cars at this point?
A. 28 Km
B. 35 Km
C. 30 Km
D. 25 Km
- Six persons P, Q, R, S, T, and U were sitting around a hexagon table facing the center. U was opposite to P, who was to the immediate left of R. S was to the immediate right of U and T was exactly between P and S. What was the sitting location of Q?
A. Opposite to R
B. Opposite to P
C. Between U and R
D. Immediate left of P
- Find the missing term in the series: 10, 11, 13, 17, 25, 31, 33, ?
A. 34
B. 45
C. 39
D. 37
- Unscramble the letters to form meaningful words and find the odd one out: EIWNTR, LCUOD, UMRSME, PIGRSN
A. EIWNTR
B. LCUOD
C. UMRSME
D. PIGRSN
- Find the number that can replace the question mark in the series: 15, 18, 17, 21, 20, 25, 24, 30, 29, ?
A. 32
B. 36
C. 28
D. 59
- Find the number that can replace the question mark in the series: 2, 12, 30, 56, 90, ?
A. 132
B. 146
C. 136
D. 128
- Match the angle between the hour and minute hand (List I) with the corresponding time (List II).
List I: A. 105°, B. 45°, C. 127.5°, D. 187.5°
List II: (I) 7:15, (II) 9:15, (III) 4:30, (IV) 2:30
A. A-(IV), B-(III), C-(I), D-(II)
B. A-(I), B-(II), C-(III), D-(IV)
C. A-(II), B-(I), C-(III), D-(IV)
D. A-(III), B-(IV), C-(I), D-(II)
- A clock shows the time as 3:00 p.m. What would be the time on the clock when the hour hand moves 135°?
A. 5:30
B. 7:30
C. 6:30
D. 8:30
- A boy runs 150 meters south from his house. He then turns left and runs 300 meters, again turns left and runs 350 meters. Now he turns right and runs 50 meters to reach the stadium. In which direction is the stadium from the boy’s house?
A. South-East
B. East
C. North-East
D. No option provided
- Six books are kept in a shelf one on top of the other. The Electronics book is just above Chemistry. Statistics is between Commerce and Environmental Science. Botany is between Electronics and Commerce. Which book is at the top?
A. Chemistry
B. Commerce
C. Environmental Science
D. Electronics
- Find the odd one among the following jumbled words: PWSORAR, GPΝΕΙΟ, CTPORAR, D JRABLNI
A. PWSORAR
B. GPΝΕΙΟ
C. CTPORAR
D. JRABLNI
- In a certain coding language, HE is coded as 418 and GO is coded as 240. How will SHE be coded?
A. 4444
B. 3333
C. 4433
D. 3344
- Four persons (P, Q, R, S) from four different cities (Bombay, Calcutta, Ahmedabad, Jaipur) each play a different game (Chess, Tennis, Cricket, Football). P is from Bombay and plays either Chess or Tennis. The person who plays Tennis is from Jaipur. Neither S nor the person from Calcutta plays Cricket. Q plays either Football or Chess. Which sport does the person from Ahmedabad play?
A. Tennis
B. Chess
C. Cricket
D. Football
- Eight persons A, B, C, D, E, F, G, and H are sitting around a circle, facing the center. E sits fourth to the right of F and second to the left of A. D is not a neighbour of A or C. B sits third to the right of D. F never sits next to H. Which pair sits between G and A?
A. C, F
B. A, B
C. E, H
D. D, H
- Ecology is related to Environment in the same way as Histology is related to?
A. History
B. Hormones
C. Tissues
D. Fossils
- Ram and Sham are real brothers. Sita and Gita are real sisters. Ram’s son is Gita’s real brother. How is Sham related to Sita?
A. Sham is brother of Sita
B. Sham is father of Sita
C. Sham is uncle of Sita
D. Sham is grandfather of Sita
- The main statement is ‘If the game is interesting, then I play it.’ Which answer logically follows?
A. I played a game means it is interesting.
B. The game is interesting. I do not play it.
C. I did not play the game though it was interesting.
D. I did not play a game implies that the game was not interesting.
- Which of the words cannot be formed from the letters of the word ‘CONSULTATION’?
A. NATION
B. STATION
C. SOLUTION
D. SALUTE
- Sham knows Ram’s birthday is between 14th and 21st October. Shalini knows it is between 15th and 20th October. They both know it falls on a Wednesday this year. If 2nd October is a Monday, when is Ram’s birthday?
A. 16th October
B. 17th October
C. 18th October
D. 19th October
- Using the logic/pattern in the figure, find the number that can replace ‘?’.
A. 47
B. 42
C. 71
D. 60
- Pick the correct sentence in indirect narration: She said to him, “Please wait here till I return”
A. She requested her to wait there till she returned.
B. She requested him to wait there till she returned.
C. She requested him to wait there till she returns.
D. She requests him to wait there till she had returned.
- From the passage, why were the monkeys running through the forest?
A. were in search of food
B. liked running about in dark
C. were in search of a warm shelter
D. wanted to kill the birds
- What did the monkeys mistake for fire?
A. Lightning
B. The moon
C. Fireflies
D. A lamp
- The bird tried to help the monkeys because she:
A. gave an unsolicited advice
B. was kind and felt sorry for them
C. wanted to save the fireflies
D. wanted to distract the monkeys
- What happens when you try to help a fool, according to the passage?
A. You get a lot of credit for it.
B. You develop friendship with him.
C. You may invite danger for yourself.
D. You may harm him too.
- Pick out the correct sentence from the following sentences.
A. Who had replaced the player after she was injured?
B. Who replaced the player after she were injured?
C. Who was replacing the
D. Who replaced the player
- Pick out the part of the sentence which has an error. If there is no error, mark “No Error”.
- Writing the letter, B) is often cheaper, C) than telephoning
A. A
B. B
C. C
D. No Error
- Identify the antonym for the word CONSIDERATE.
A. Comprehensive
B. Atrocious
C. Malignant
D. Indifferent
- Pick out the correct sentence in indirect narration: He said, “Let us wait for the award.”
A. He proposed him to wait for the award.
B. He proposed that they should wait for the award.
C. He agreed to wait for the award with him.
D. He proposed me that I should wait for the award.
- Pick out the correctly spelt word.
A. disastar
B. documantation
C. daviation
D. dormitory
- Fill in the blank: ‘Time and tide ____ for none.’
A. waits
B. wait
C. waiting
D. had waited
- Pick out the synonym of the word ‘reproach’.
A. reprimand
B. appreciate
C. understand
D. to approach again
- Choose the best definition for the underlined word from the context: The attorney wanted to expedite the process, because her client was becoming impatient.
A. accelerate
B. evaluate
C. reverse
D. justify
- Arrange the parts to make a meaningful sentence: P: around the town, Q: when I was young, R: delivering food to customers, S: shopkeepers would cycle
A. RSPQ
B. QSPR
C. SRPQ
D. PQRS
- Arrange the parts to make a meaningful sentence: P: around the town, Q: when I was young, R: delivering food to customers, S: shopkeepers would cycle
A. RSPQ
B. QSPR
C. SRPQ
D. PQRS
- Pick out the correct sentence from the following sentences.
A. Due to his ill health, he decided to not perform on the stage.
B. Due to his ill health, he decided not to perform on the stage.
C. Due to his ill health, he did not decided to perform on the stage.
D. Due to his ill health, he decide not to perform on the stage.
- Arrange the parts to make a meaningful sentence: P: an extra person, Q: this card entitles, R: with you free, S: you to take
A. QSPR
B. PORS
C. RPQS
D. SQRP
- Fill in the blank with a suitable preposition: While going to Chandigarh, our car broke ____ in midway.
A. apart
B. up
C. down
D. into
- Give the meaning of the underlined idiom: He requested her to reconsider the decision but she put her foot down.
A. agreed to consider
B. ignored
C. listened very carefully
D. refused to yield
- Pick the correct sentence in passive voice: He will finish the work in a fortnight.
A. He would be finished the work in that fortnight.
B. The work would be finished in that fortnight.
C. The work was finished by him in a fortnight.
D. The work will be finished by him in a fortnight.
- Select the most suitable synonym for the word PALPABLE.
A. visible
B. perceivable
C. audible
D. presentable
- Which statement best supports the author’s point about critical reading?
A. critical reading is a slow, dull, but essential process.
B. readers should get in the habit of questioning the truth of what they read.
C. the best critical reading happens at critical times in a person’s life.
D. critical reading requires thoughtful and careful attention.
- Choose the best definition for the underlined word from the context: Mr. Powers was so gullible that he believed even the most outlandish excuses of his insincere employees.
A. intelligent
B. naive
C. dishonest
D. critical
- Fill in the blank: There are more things in heaven and earth ____ are dreamt of in our philosophy.
A. then
B. thin
C. than
D. where
- Pick the correct active voice of the sentence: Why was such a letter written by your father?
A. Why had your father written such a letter?
B. Why did your father wrote such a letter?
C. Why did your father write such a letter?
D. Why was your father writing such a letter?
- Select the most suitable synonym for the word FAMISHED.
A. Agricultural
B. Hungry
C. Prestigious
D. Feasible
- Select the most suitable synonym for the word OSTENSIBLE.
A. strong
B. desirable
C. apparent
D. fateful
- Fill in the blank with a suitable preposition: He put ____ his departure for a week.
A. down
B. off
C. of
D. on
- Fill in the blank: Read ____; nor to believe; but to weigh and consider.
A. to not contradict
B. contradict not to
C. to contradictory
D. not to contradict
- Pick out the synonym of the word ‘Communicable.’
A. Communication
B. Contagious
C. Commutation
D. Understandable
- Pick out the correctly spelt word.
A. unequivocaly
B. unequivocally
C. enequivocally
D. uniquivocally
- Pick out the correct sentence from the following sentences.
A. She doesn’t like to gets up early.
B. She doesn’t likes to get up early.
C. She doesn’t like to get up early.
D. She doesn’t likes getting up early.
- This paragraph about litigation and mediation best supports which idea?
A. There is too much reliance on litigation in our society.
B. Litigation is expensive, slow and limited by its reliance on following the letter of the law.
C. Mediation is the best way to resolve a crisis.
D. Mediation can be an effective way to resolve conflicts.
- Pick out the correct sentence from the following sentences.
A. Hardly had the function got over, the crowd dispersed.
B. Hardly have the function getting over, the crowd dispersed.
C. The function was not got over after the crowd were dispersed.
D. Hardly had got over the function, the crowd disperse.
- Fill in the blank: A bird in the hand ____ worth two in the bush.
A. are
B. were
C. was
D. is
JIPMAT 2022
Quantitative Ability
- A sum becomes double in 10 years, then what is the annual rate of simple interest?
A. 8%
B. 5%
C. 10%
D. 20%
- P, Q, and R invested Rs. 25,000, Rs. 50,000, and Rs. 25,000 respectively to start a business. At the end of two years, they earned a profit of Rs. 48,000. What will be Q’s share?
A. 24,000
B. 36,000
C. 12,000
D. 20,000
- Match the quadratic equations in List I with their roots in List II.
List I: A. (6x^{2}+x-12=0) | B. (8x^{2}+16x-10=202) | C. (x^{2}+45x+324=0) | D. (2x^{2}-5x-3=0)
List II: I. ((-6,4)) | II. ((9,36)) | III. ((3,-)) | IV. ((-,))
A. A–I, B–III, C–IV, D–II
B. A–IV, B–I, C–II, D–III
C. A–II, B–IV, C–III, D–I
D. A–III, B–II, C–I, D–IV
- The population of a village is 5000. If in a year, the number of males were to increase by 5% and females by 3% annually, the population would grow to 5202. If M is the number of males and F is the number of females, then (M, F) = ?
A. (3000, 2000)
B. (2800, 2200)
C. (2600, 2400)
D. (2700, 2300)
- If A earns (33%) more than B, then by what percentage does B earn less than A?
A. 66.33%
B. 25%
C. 65%
D. 33.33%
- Which of the following trigonometric identities are true?
A. ({2}41+ {2}49= 1)
B. ({2}60- 2^- {2}30= -1)
C. (^{2}+ = 1)
A. A and B only
B. A and C only
C. B and C only
D. A, B, and C
- What is the value of (m) for which the polynomial (x{4}+10x{3}+25x^{2}+15x+m) is exactly divisible by (x+7)?
A. -91
B. -101
C. 15
D. 115
- The area of a circular playground is 22176 cm². What is the cost of fencing this ground at the rate of ₹50 per metre?
A. ₹264
B. ₹400
C. ₹312
D. ₹244
- The sum of (n)-terms of the sequence (+++) is:
A. ()
B. ()
C. ()
D. ()
- If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?
A. 36
B. 60
C. 108
D. 120
- Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?
A. 12 m
B. 14 m
C. 13 m
D. 11 m
- The value of a flat worth ₹500,000 is depreciating at the rate of 10% per annum. In how many years will the value be reduced to ₹364,500?
A. 2 Years
B. 3 Years
C. 3 Years, 6 Months
D. 4 Years
- How many liters of water should be added to a 30-liter mixture of milk and water (ratio 7:3) so that the resultant mixture has 40% water?
A. 5
B. 2
C. 3
D. 8
- Given the two statements below, choose the correct option.
Statement I: The sum of exponents of prime factors in the prime factorization of 392 is 5.
Statement II: The decimal representation of () will terminate after 2 decimal places.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- If A and B are independent events such that (P(A)=p), (P(B)=2p) and P(exactly one of A,B) = (), which statement is true?
Statement I: (p=)
Statement II: (p=)
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Which statement is true?
Statement I: Speed of the boat in still water is 12 km/hr.
Statement II: Speed of the stream is 4 km/hr.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is false but Statement (II) is true.
D. Statement (I) is true but Statement (II) is false.
- The floor of a room is 15 m 17 cm long and 9 m 2 cm broad. What is the least number of square tiles required to pave the floor?
A. 768
B. 906
C. 814
D. 652
- A and B start from the same point to travel 60 km. A’s speed is 4 km/hr slower than B’s. B reaches the destination, starts back immediately, and meets A who is still 12 km away from the destination. Find A’s speed.
A. 4 km/hr
B. 8 km/hr
C. 12 km/hr
D. 14 km/hr
- The LCM of two numbers is 12 times their HCF. The sum of the LCM and HCF is 403. If one number is 93, find the other.
A. 124
B. 114
C. 128
D. 96
- The father’s age is six times his son’s age. Four years hence, the father’s age will be four times his son’s age. What are their present ages?
A. 6 and 36
B. 4 and 24
C. 5 and 30
D. 7 and 42
- Three years ago, the ratio of the ages of Amisha and Namisha was 8:9. Three years from now, the ratio will be 11:12. What is Amisha’s present age?
A. 2 years
B. 16 years
C. 19 years
D. 21 years
- If four identical circles of radius ‘r’ are placed touching each other to form a square, what is the radius of the innermost circle that touches all four circles?
A. (r)
B. (r)
C. ((-1)r)
D. ()
- If (()) and (()) are the roots of the equation (ax^{2}+bx+c=0), then (b^{2}) is:
A. (c^{2}+2ac)
B. (a^{2}+ac)
C. (a^{2}+2ac)
D. (c^{2}+ac)
- If the mean of a, b, and c is M; (ab+bc+ca=0); and the mean of (a^{2}), (b^{2}), and (c^{2}) is (KM^{2}), then K is equal to:
A. 3
B. 9
C. 6
D. 4
- Match the statistical measures in List I with their values in List II.
List I: A. Mean of first five prime numbers | B. Mean of all factors of 24 | C. Mean of first six multiples of 4 | D. If the mean of (x-5y, x-3y, x-y, x+y, x+3y, x+5y) is 12, then x is
List II: I. 12 | II. 7.5 | III. 5.6 | IV. 14
A. A–II, B–I, C–III, D–IV
B. A–III, B–II, C–IV, D–I
C. A–I, B–IV, C–II, D–III
D. A–IV, B–III, C–I, D–II
- The value of (+) is:
A. (25++2)
B. (40++2)
C. (30++2)
D. (15++2)
- If (a b = 2a - 3b + ab), then what is the value of ((3 ) + (5 ))?
A. 26
B. 24
C. 22
D. 20
- What is the value of ()?
A. 143755
B. 1125
C. 150
D. 500
- Given the two statements below, choose the correct option.
Statement I: In (ABC), if (AB=6) cm, (AC=12) cm and (BC=6) cm, then angle (B=90^{}).
Statement II: In (ABC), if it is an isosceles triangle with (AC=BC) and (AB{2}=2AC{2}), then angle (C=90^{}).
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- Given the two statements below, choose the correct option.
Statement I: If (()=), then the value of (()=).
Statement II: If (()=), then the value of (()=).
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- A two-digit number is 7 times the sum of its digits. The number formed by reversing its digits is 18 less than the original number. What is the number?
A. 24
B. 42
C. 36
D. 63
- If (===k), then what is the value of k?
A. ()
B. () or -1
C. -1
D. ()
- The equation of the circle which passes through the point (4, 5) and has its center at (2, 2) is:
A. ((x-2)+(y-2)=13)
B. ((x-2){2}+(y-2){2}=13)
C. (x{2}+y{2}=13)
D. ((x-4){2}+(y-5){2}=13)
- Based on the table of company expenditure, what is the approximate ratio between total tax paid and the cost of components over all the years?
A. 1:117
B. 3:70
C. 14:138
D. 12:141
- Total expenditure in 2000 was what percentage of the total expenditure in 2003?
A. 60.03%
B. 81.70%
C. 76.56%
D. 122.39%
- Which year saw the maximum percentage increase in salary over the previous year?
A. 2001
B. 2002
C. 2003
D. 2004
- From the partial data on student results, the number of girls with grade B and grade C are:
A. 5, 30
B. 30, 5
C. 10, 30
D. 30, 10
- The number of girls, boys, and total students is:
A. Girls-40, Boys-45, Total-85
B. Girls-40, Boys-40, Total-80
C. Girls-40, Boys-50, Total-90
D. Girls-40, Boys-35, Total-75
- Half the students have grade A or B. The number of girls with Grade A and the total students (girls and boys) with grade A are:
A. 5, 10
B. 5, 5
C. 10, 5
D. 10, 10
- The number of boys who have grade B and the number of boys who have grade C are:
A. 25, 10
B. 10, 25
C. 10, 30
D. 30, 10
- Sheela is Arun’s wife. Deepak is Sheela’s brother. Sunita is Deepak’s wife. Geeta and Mita are Sunita’s children. How is Arun related to Mita?
A. Grandfather
B. Mother
C. Uncle
D. Father in law
- Statements: All Sparrows are birds. All birds are mountains. All mountains are skies. Which conclusions logically follow?
- All Sparrows are skies.
- All Skies are birds.
- All mountains are sparrows.
- All birds are skies.
A. Only I and III follow
B. Only II and III follow
C. Only I and IV follow
D. Only II and IV follow
- Choose the missing term in the series: AGDLX, GDLXA, DLXAG, ?, XAGDL, AGDLX
A. LXAGD
B. XAGLD
C. DXAGL
D. GLXAD
- A and C are good in History and Biology. A is also good in Maths. B and D are good in Physics. A is also good in Chemistry. C and D are good in Chemistry. Who is good in four of these five subjects?
A. A and C
B. C
C. A
D. D
- According to the pie chart on colored balls (total 1000), how many dark red balls are there in the box?
A. 110
B. 120
C. 130
D. 140
- What is the total number of green balls?
A. 180
B. 170
C. 185
D. 190
- What is the total percentage of orange, yellow and pink balls in the box?
A. 46
B. 47
C. 48
D. 49
- What is the difference between the number of light red balls and the number of dark yellow balls?
A. 15
B. 12
C. 14
D. 17
- What is the ratio of dark pink balls to dark green balls?
A. 6:9
B. 7:8
C. 7:9
D. 6:8
- Four friends have different sports they like and are members of different clubs (Dance, Theatre, Eco). Jaspreet likes swimming and is not in the dance club. Rihanna is in the dance club but doesn’t like tennis. Rohit likes badminton but is not in the theater or dance club. Blessy is in the Eco club and doesn’t like swimming or badminton. Who likes badminton and is a member of the Eco club?
A. Jaspreet
B. Rohit
C. Rihanna
D. Blessy
- Complete the series: CEFH, IKLN, OQRT, ?
A. OPQR
B. PRSU
C. POST
D. UWXZ
- Based on the pie chart of student activities (total students = 40), how many participated in mask-making and paper-quilling?
A. 14
B. 12
C. 16
D. 10
- How many students did not participate in the toy-making activity?
A. 16
B. 12
C. 10
D. 28
- How many students participated in the flower-making activity?
A. 12
B. 10
C. 16
D. 20