Quant Quiz
Q1.How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
A.5 B.10 C.15 D.20 E. None of these
Q2.Two dice are tossed. The probability that the total score is a prime number is:
A.1/6 B.5/12 C.1/2 D.7/9 E. None of these
Q3.There are 6 boxes numbered 1, 2,….6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
A. 5 B. 21 C. 33 D. 60 E. 6
Q4.In how many ways can the letters of the word “PROBLEM” be rearranged to make 7 letter words such that none of the letters repeat?
A.7! B.7C7 C.77 D.49 E.None of these
Q5.A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
A.1 B.1/256 C.81/256 D.175/256 E.144/256
Q6.Rohit has 9 pairs of dark Blue socks and 9 pairs of Black socks. He keeps them all in a same bag. If he picks out three socks at random what is the probability he will get a matching pair?
(A) (2*9C2 * 9C1) / 18C3 (B) (9C2 * 9C1) / 18C3 (C) 1 (D) Cant determine (E) None of these
Q7.There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?
A.15624 B. 16384 C.6144 D.240 E.None of these
Q8.From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
A.564 B.645 C.735 D.756 E.None of these
Q9.A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
A.32 B.48 C.64 D.96 E.None of these
Q10. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
A.63 B.90 C.126 D.45 E.135
Q11.A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A.10/21 B.11/21 C.2/7 D.5/7 E.None of these
Q12.In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A.1/3 B3./4 C.7/19 D8/21 E.9/21
Q13.Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
A.1/2 B.3/4 C.3/8 D.5/16 E.None of these
Q14.In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
A.1/10 B.2/5 C.2/7 D.5/7 E.None of these
Q15.From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
A.1/15 B.25/57 C.35/256 D.1/221 E.None of these
1.D
Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.
The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.
The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.
Required number of numbers = (1 x 5 x 4) = 20.
2.B
3.B
If only one of the boxes has a green ball, it can be any of the 6 boxes. So, this can be achieved in 6 ways.
If two of the boxes have green balls and then there are 5 consecutive sets of 2 boxes. 12, 23, 34, 45, 56.
Similarly, if 3 of the boxes have green balls, there will be 4 options.
If 4 boxes have green balls, there will be 3 options.
If 5 boxes have green balls, then there will be 2 options.
If all 6 boxes have green balls, then there will be just 1 options.
Total number of options = 6 + 5 + 4 + 3 + 2 + 1 = 21.
4.A
There are seven positions to be filled.
The first position can be filled using any of the 7 letters contained in PROBLEM.
The second position can be filled by the remaining 6 letters as the letters should not repeat.
The third position can be filled by the remaining 5 letters only and so on.
758
Therefore, the total number of ways of rearranging the 7 letter word = 7*6*5*4*3*2*1 = 7! Ways.
5.D
The probability that he will not hit the target in one shot = 1 – 1/4 = 3/4
Therefore, the probability that he will not hit the target in all the four shots =81/256
Hence, the probability that he will hit the target at least in one of the four shots = 1 – 81/256
= 175/256 .
6.C
If he picks any of the three socks invariably any two of them should match. Hence the probability is 1.
7.A
8.D
We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).
Required number of ways = (7C3 x 6C2) + (7C4 x 6C1) + (7C5)
=756
9.C
We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).
Required number of ways = (3C1 x 6C2) + (3C2 x 6C1) + (3C3)
=64
10.A
Required number of ways = (7C5 x 3C2) = (7C2 x 3C1)
=63
11.A
Total number of balls = (2 + 3 + 2) = 7.
Let S be the sample space.
Then, n(S)= Number of ways of drawing 2 balls out of 7
= 7C2 `
=(7 x 6)/(2 x 1)
= 21.
Let E = Event of drawing 2 balls, none of which is blue.
n(E)= Number of ways of drawing 2 balls out of (2 + 3) balls.
= 5C2
=(5 x 4)/(2 x 1)
= 10.
P(E) =n(E)/n(S=10/.21
12.A
Total number of balls = (8 + 7 + 6) = 21.
Let E= event that the ball drawn is neither red nor green
= event that the ball drawn is blue.
n(E) = 7.
P(E) =n(E)/n(S)=7/21=1/3.
13.B
In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.
Then, E = {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4),
(3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),
(6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
n(E) = 27.
P(E) =n(E)/n(S)=27/36=3/4
14.C
P (getting a prize) = 10/(10 + 25)=10/35 =2/7 .
15.D
Reasoning : Quiz
Q1. Ramnik walked 55 metres towards South, took a left turn and walked 45 metres. He then took a right turn and walked 40 metres. He again took a right turn and walked 45 metres. How far is he from the starting point?
(1) 95 metre (2) 15 metre (3) 185 metre (4) Can’t say (5) None of these
Directions: (2 – 6) In the following questions, the symbols @, $, *, # and used with the following meaning as illustrated below:
‘P $ Q’ means ‘P is not smaller than Q’
‘P@Q’ means ‘P is neither smaller than nor equal to Q’
‘P # Q’ means ‘P is neither greater than nor equal to Q’
‘P Q means ‘P is neither greater than nor smaller than Q’
‘P *Q’ means ‘P is not greater than Q’
Now, in each of the following questions assuming the given statements to be true, find which of the four conclusions I, II, III and IV given below them is/are definitely true and give your answer accordingly.
Q2. Statements:
N € B, B $ W, W # H, H * M
Conclusions: I. M @ W, II. H @ N, III. W € N’ IV. W # N
(1) Only I is true (2) Only III is true (3) Only IV is true (4) Only either III or IV is true (5) Only either III or IV and I are true
Q3. Statements: R * D, D $ J, J # M, M @ K
Conclusions: I. K # J II. D @ M III. R # M IV. D @ K
(1) None is true (2) Only I is true (3) Only II is true (4) Only III is true (5) Only IV is true
Q4. Statements: H @ T T # F F € E E * V
Conclusions: I. V $ F II. E @ T III. H @ V IV. T # V
(1) Only I, II and III are true (2) Only I, II and IV are true (3) Only II, III and IV are true (4) Only I, III and IV are true
(5) All I, II, III and IV are true
Q5. Statements: D # R R * K K @ F F $ J
Conclusions: I. J # R II. J # K III. R # F IV. K @ D
(1) Only II and III are true (2) Only III and IV are true (3) Only I, III and IV are true (4) All I, II, III and IV are true (5) Only II and IV are true.
Q6. Statements: M $ K K @ N N * R R # W
Conclusions: I. W @ K II. M $ R III. K @ W IV. M @ N
(1) Only I and II are true (2) Only I is true (3) Only III and IV are true (4) Only III is true (5) Only IV is true
Directions (7-10) : Study the following information to answer the given questions:
In a certain code, ‘za la ka ga’ is code for ‘must obey traffic rules’ ,“ za fa sa na ‘ is code for ‘we obey the elders’ , ‘ na la da sa’ is a code for ‘ we must be elders’ , and ‘wa sa za da’ is code for ‘be elders obey younger’.
Q7. Which of the following is the code for ‘must’?
(l) sa (2) da (3) la (4) na (5) None of these
Q8. What does the code ‘za’ stand for ?
(1) traffic (2) must (3) be (4) younger (5) obey
Q9. Which of the following is the code for ‘elders’?
(1) sa (2) wa (3) za (4) la (5) fa
Q10. How does ’rules of younger’ coded in the code language?
(l) ka da fa (2) wa ka sa (3) ja da wa (4) ka wa ya (5) Cannot be determined
1. (1)
Ramnik is 95 m away from the starting point towards south.
Solution: (30 – 34)
$ – ≥, @ – >, # – <, – =, ¬¬¬¬* – ≤
2. (5) N = B ≥ W < H ≤ M
2. (5) N = B ≥ W < H ≤ M
I. M > W (True) II. H > N (False)
III. W = N (False) IV. W < N (False)
So : N ≥ W (Only either III or IV and I are true)
3. (1) R ≤ D ≥ J < M > K
I. K < J (False) II. D > M (False)
III. R < M (False) IV. D > K (False)
So none is true.
4. (2) H > T < F = E ≤ V
I. V ≥ F (True) II. E > T (True)
III. H > V (False) IV. T < V (True)
So only I, II and IV are true.
5. (5) D < R ≤ k > F ≥ J
I. J < R (False) II. J < K (True)
III. R < F (False) IV. K > D (True)
So only II and IV are true.
6. (5) M ≥ K > N ≤ R < W
I. W > K (False) II. M ≥ R (False)
III. K > W (False) IV. M > N (True)
So only IV is true.
Solutions (7-10):
Word obey Must elders we be The younger traffic rules
Code za La sa na da fa wa ka/ga ga/ka
7. (3)
8. (5)
9. (1)
10. (5)
English Quiz
Directions (Q.1-5). Rearrange the following six sentences (A), (B), (C), (D), (E) and (F) in the proper sequence to form a meaningful paragraph; then answer the questions given below them.
(A)If China is the world’s factory, India has become the world’s outsourcing centre —’keeping in line with this image.
(B)But India’s future depends crucially on its ability to complete fully in the Creative Economy — not just, in tech and software, but across design and entrepreneurship; arts, culture and entertainment; and the knowledge-based professions of medicine, finance and law.
(C)While its creative assets outstrip those of other emerging competitors, India must address several challenges to increase its international competitiveness as the world is in the midst of a sweeping transformation.
(D)This transformation is evident in the fact that the world is moving from an industrial economy to a Creative Economy that generates wealth by harnessing intellectual labour, intangible goods and human creative capabilities.
(E)Its software industry is the world’s second-largest, its tech outsourcing accounts for more than half of the $ 300 billion global industry, according to a technology expert.
(F)If the meeting of world leaders at Davos is any indication, India is rapidly becoming an economic ‘rock star’.
Q.1.Which of the following should be the SIXTH (LAST’) sentence after the rearrangement?
(1) A (2) B (3) C (4) D (5) E
Q.2.Which of the following should be the FIFTH sentence after the rearrangement?
(1) A (2) B (3) C (4) F (5) E
Q.3.Which of the following should be the FIRST sentence after the rearrangement?
(1) F (2) B (3) C (4) A (5) E
Q.4.Which of the following should be the SECOND sentence after the rearrangement?
(1 ) A (2) B (3) C (4) D (5) F
Q.5. Which of the following should be the THIRD sentence after the rearrangement?
(1) A (2) B (3) C (4) D (5) E
Directions (Q.6-13): In the following passage there are blanks each of which has been numbered. These numbers are printed below the passageand against each, five words/phrases are suggested one of which fits the blank appropriately. Find out the appropriate word/phrase in each case:
The recent series of (6) attacks, from Pakistan to Australia to Europe to North Africa, confirm that “mindless” violence (7) the staple of most groups. In November 2014, a suicide bomber (8) to the Tehrik-e Taliban Pakistan (TTP) killed 60 Pakistanis on the Wagah border. In December, TTP was behind the killing of over 140 people which (9) 132 children at an army school in Peshawar. Three persons were killed in a terrorist attack in Sydney in mid-December 2014. And in January 2015, a (10) of terrorists in Paris massacred 12 people at the office of the French satirical magazine, Charlie Hebdo; in this case, each of the targets was identified by name.
Africa too has not been spared and is (11) a resurgence in jihadi-linked violence. In September 2013, the Somali-based Al-Shabaab claimed responsibility for the killing of 67 people in a shopping mall in Nairobi. In January this year, the Boko Haram carried out the “deadliest massacre” in its (12), reportedly killing over 2,000 people in attacks on Baga and surrounding towns, in Nigeria. In April, in Kenya, al-Shabaab gunmen killed 147 students (mainly Christians) following a (13) at the Garisa University College campus.
Q6.(1)Barbaric (2) benevolent (3) slake (4) acumen (5) divulge
Q7. (1) continues (2) stimulate (3) astonish (4) presages (5) remains
Q8.(1)following (2)reporting (3)Belonging (4)responsible (5)got
Q9. (1)excluded (2)precluded (3)Included (4)impeded (5)interdicted
Q10.(1)genesis (2)Group (3)Repugnance (4)Head (5)Myriad
Q11.(1)Witnessing (2)happening (3)occurring (4)feeling (5)demanding
Q12.(1)remembrance (2)History (3)revival (4)country (5)Trumpery
Q13.(1)celebration (2)Myriad (3)trumpery (4)Siege (5)Nascent
Directions (Q.14-15): In each one of the following sentences, there are two blank spaces. Below each sentence, there are five pairs of words denoted by numbers (1), (2), (3), (4) and (5). Find out which pair of words can be filled up in the blanks .n the sentence in the same sequence to make it, meaningfully complete.
Q.14.In order to tie the rope at the………. , you would have to move slightly………… .
1) bottom, below 2) top, down 3) bottom, up 4) pole, away 5) pole, near
Q.15.The chairman informed the board members about his decision to……..1,000 equity shares owned by him in the ………market.
1)sell, closed 2)buy, troubled 3)sell, stock 4)stock, share 5)sell, black
1.(4) 2.(3) 3.(1) 4.(1) 5.(5) 6.(1) 7.(5) 8.(3) 9.(3) 10.(2) 11.(1) 12.(2) 13.(4) 14.(1) 15.(3)
Computer Quiz
Q1. Where would you find the letters QUERTY?
(1) Mouse (2) Screen (3) Numeric Keypad (4) Keyboard (5) None of these
Q2. How did the computer mouse get its name?
(1) It’s cable looks like a tail (2) Because it squeaks when moved (3) It has ears (4) Teeth outside mouth (5) None of these
Q3. What are you most likely to use when playing
(1) Touch screen a computer game? (2) Light pen 3) notepad (4) Joystick (5) None of these
Q4. A digitising tablet can be used for?
(1) Tracing diagrams (2) Printing letters (3) Reading barcodes (4) Playing (5) None of these
Q5. Which of the following is a pointing device?
(1) Hard disk . (2) CD-ROM drive (3) Touch screen used for computer input. (4) RAM (5) None of these
Q6. What does a light pen contain?
(1) Refillableink (2) Light sensitive elements (3) Pencil lead (4) Blue Ink (5) None of these
Q7. What would be the best way to move around a 3D environment?
(1) Use a tracker ball (2) Use a keyboard. (3) Use a space mouse (4) Use Joystick (5) None of these
Q8. What input device can be used for marking
(1) Optical mark reader (2) Bar code reader (3) Mouse a multiple choice test? (4) All of the above (5) None of these
Q9. What input device could tell you the price of?
(1) Mouse a bar of chocolate? (2) All of the above (3) Optical mark reader (4) Bar code reader (5) None of these
Q10. Where would you find a magnetic strip?
(1) Speakers (2) Credit card (3) Smart card (4) All of the above (5) None of these
Q11. Hard copy is a term used to describe…?
(1) Printed output (2) Writing on a hard board (3) Storing information on the hard disk (4) All of the above (5) None of these
Q12. What do the abbreviations VAB stand for?
(1) Voice activated broadcasting (2) Visual audio board (3) Voice answer back (4) All of the above (5) None of these
Q13. What are the individual dots which make up a picture on the monitor screen called?
(1) Coloured spots (2) All of the above (3) Pixies (4) Pixels (5) None of these
Q14. A daisy wheel is a type of…?
(1) None of these (2) Storage device (3) Pointing device (4) All of the above (5) Printer
Q15. Factory production lines can be automated using…?
(1) Machine tools (2) VDUs (3) Plotters (4) All of the above (5) None of these
1.(4) 2.(1) 3-(4) 4.(1) 5-(3) 6-(2) 7-(3) 8.(1) 9-(4) 10.(2) 11.(1) 12.(3) 13.(4) 14.(5) 15.(2)