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Study Stuff for MCA Examinations

Study Stuff for MCA Examinations

If TRANSFER is coded as RTNAFSRE, the ELEPHANT would be coded as

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Which two of the following numbers comes in the next in the following sequence.

61, 57, 50, 61, 43, 36, 61, ………

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Thus, following the same pattern next two terms will be 29
and 22.

How many minimum number of colours will be required to paint all the sides of a cube without the adjacent sides having the same colours?

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In the following sequence, which pair of numbers fill in the blanks?

1, 1, 3, 2, 8, 5, 21, 13

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1, 1, 2, 3, 5, 8, 13, 21, 34, 55

Four friends A, B, C and D need to cross a bridge in
the night. A maximum of 2 people can cross at a
time. They have only one lamp. A takes one minute
to cross the bridge. B takes 2 minutes, C takes 8
minutes and D takes 11 minutes to cross the bridge
respectively. A pair must walk together at the speed
of the person who walks slowly. What is the
minimum time required to cross the bridge by all the four people?

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A person’s present age is two fifth of the age of his
mother. After 8 years, he will be one-half of the age
of his mother. What is the present age of his mother?

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In a certain code, DOES is written as 5$3% and SITE
is written as %4#3. How is EDIT written in that
code?

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Eight friends A through H, are sitting around a
circular table, playing a game of cards. They belong
to two different teams X and Y. No two persons of
the same team sit in adjacent seats.

- A sits neither opposite to D nor to H but is sitting in between C and G.
- B sits neither opposite to A nor to G but is sitting in between F and D
- B and H belong to team X and D sits opposite to E.

Who are the members of team X?

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Eight friends A through H, are sitting around a
circular table, playing a game of cards. They belong
to two different teams X and Y. No two persons of
the same team sit in adjacent seats.

- A sits neither opposite to D nor to H but is sitting in between C and G.
- B sits neither opposite to A nor to G but is sitting in between F and D
- B and H belong to team X and D sits opposite to E.

Who are sitting adjacent to E?

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Four students A, B, C and D distributed 30 marbles
among themselves. No two students got equal
number of marbles. No student got more than 10
marbles. No student got less than 5 marbles. A and C
got odd number of marbles. B and D got even
number of marbles. A got more marbles than B, C
got more marbles than D, B got more marbles than
D.

What is the number of marbles with A?

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Four students A, B, C and D distributed 30 marbles
among themselves. No two students got equal
number of marbles. No student got more than 10
marbles. No student got less than 5 marbles. A and C
got odd number of marbles. B and D got even
number of marbles. A got more marbles than B, C
got more marbles than D, B got more marbles than
D.

Mean of number of marbles with B, C, D is:

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Nine individuals - Z, Y, X, W, V, U, T, S and R - are
the only candidates, who can serve on three
committees — K1, K2 and K3, and each candidate
should serve on exactly one of the committees.
Committee K1 should consist of exactly one member
more than committee K2. It is possible that there are
no members in committee K3. Among Z, Y and X
none can serve on committee K1. Among W, V and
U none can serve on committee K2. Among T, S and R none can serve on committee K3.

In case committee K2 is served by T and Z only, how
many of the nine individuals should serve on
committee K3?

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Nine individuals - Z, Y, X, W, V, U, T, S and R - are
the only candidates, who can serve on three
committees — K1, K2 and K3, and each candidate
should serve on exactly one of the committees.
Committee K1 should consist of exactly one member
more than committee K2. It is possible that there are
no members in committee K3. Among Z, Y and X
none can serve on committee K1. Among W, V and
U none can serve on committee K2. Among T, S and R none can serve on committee K3.

Of the nine individuals, the largest number that can
serve together on committee K3 is:

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Fill in the blank in the series: ELFA, GLHA, ILJA,
_____, MLNA:

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Pointing to a gentleman, Mohan said, 'His only
brother is the father of my daughter’s father'. The
gentleman is Mohan’s ________.

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It was 9.35 AM in Garvita’s watch, which kept
correct time, when Manya informed her that the last
bus left the bus stop at 9.25 am. Manya’s watch is 5
min fast. The frequency of the bus is every 20 min.
For how long Garvita must wait to catch the next
bus?

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A total of 324 notes comprising of Rs. 20 and Rs. 50
denominations make a sum of Rs. 12450. The
number of Rs. 20 notes is

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Rishabh stops after going 10 Km towards west from
his office. Then he goes 8 Km turning to his left.
After this he goes 4 Km turning to his left. How far is
he from the fixed point?

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Which of the four options should fill the missing
cell?

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In the following questions, the symbols $, #, @, %
and * illustrate the following meanings.

- P$Q – P is not smaller than Q
- P#Q – P is neither greater than nor equal to Q.
- P@Q – P is neither smaller than nor equal to Q.
- P%Q – P is not greater than Q
- P*Q – P is neither greater than nor smaller than Q.

Statements:

K # L, L % M, M * N, N # O - Conclusions:

I. K # M

II. K * M

III. L % O

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Study the following arrangement carefully and
answer the question given below:

W 1 R % 4 J E # 7 M T 2 I 9 B H 3 A $ 9 F Q 5 D G
6 U S P

Three of the following are alike in a certain way on
the basis of above arrangement and hence form a
group. Which one does not belong to that group?

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If there are no dancers that aren’t slim and no singers
that aren’t dancers, then which statements are always
true?

Choose the correct answer

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If in a certain language, ITNIETAM is the code for
INTIMATE, which word has the code
TREVNIETARBI?

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Sum of ages of Anu and Bhanu is 10 years more than the sum of ages of Bhanu, Chanu, and Dhanu. The average age of Chanu and Dhanu is 19 years. Find the average age of Anu and Dhanu if Dhanu is 10 years
elder than Chanu.

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Read the information given below and answer the
questions that follow:

i. A * B means -> A and B are of the same age

ii. A – B means -> B is younger than A

iii. A + B means -> A is younger than B

Sachin * Madan – Reena means?

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Read the information given below and answer the
questions that follows

i. A * B means -> A and B are of the same age

ii. A – B means -> B is younger than A

iii. A + B means -> A is younger than B

X + Y + Z is same as ________?

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Find out the wrong number in the following number
series:

56, 58, 62, 70, 84, 118, 182

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Find out the missing number:

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Which number should come in place of the question
mark (?) in the following chart:

1 | 7 | 9 |

2 | 14 | ? |

3 | 105 | 117 |

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Find the missing number

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How many minimum numbers of colours will be
required to paint all the sides of a cube without the
adjacent sides having the same colours?

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A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.

What is E's profession?

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If a man walks at the rate of 4 km/hr, he misses a
train by only 6 minutes. However, if he walks at the
rate of 5 km/hr, he reaches the station 6 minutes
before the arrival of the train. The distance covered
by him to reach the station is:

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A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.

How many members of the group are males?

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Wrong number in the series 7, 8, 18, 57, 228, 1165, 6996

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7*1 + 1 = 8

8*2 + 2 = 18

18*3 + 3 = 57

57*4 + 4 = 232

232*5 + 5 = 1165

1165*6 + 6 = 6996

so 228 is wrong

i. Five friends Amar, Kapil, Sarvesh, Rohan and
Nagesh put on five shirts of different colours,
i.e., Red, Yellow, Blue, White, and Green, while
they were going to attend a party. These colours
are not in the order.

ii. They have different hobbies as reading,
playing, outing, singing and writing.

iii. Kapil, who likes singing, does not wear
Yellow shirt. Sarvesh wears Red shirt and he
does not like reading or writing. Nagesh likes
playing and he does not wear Blue or Yellow
shirt. Amar likes writing and Rohan does not
wear Yellow or Green shirt.

What is the colour of Kapil’s shirt?

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i. Five friends Amar, Kapil, Sarvesh, Rohan and
Nagesh put on five shirts of different colours,
i.e., Red, Yellow, Blue, White, and Green, while
they were going to attend a party. These colours
are not in the order.

ii. They have different hobbies as reading,
playing, outing, singing and writing.

iii. Kapil, who likes singing, does not wear
Yellow shirt. Sarvesh wears Red shirt and he
does not like reading or writing. Nagesh likes
playing and he does not wear Blue or Yellow
shirt. Amar likes writing and Rohan does not
wear Yellow or Green shirt.

Who likes writing?

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Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both statements and

- Give the answer (U) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- Give the answer (V) if the data in statement I| alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- Give the answer (W) if the data either in Statement I or in Statement II alone are sufficient to the answer of the question.
- Give the answer (X) if the data in both statements I and II together are not sufficient to answer the question.
- Give the answer (Y) if the data in both statements I and II together are are necessary to answer the question.

How much time will the leak take to empty the full cistern?

- The cistern is normally filled in 9 hours.
- It takes one hour more than the usual time to fill the cistern because of a leak in the bottom.

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Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both statements and

- Give the answer (U) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- Give the answer (V) if the data in statement I| alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- Give the answer (W) if the data either in Statement I or in Statement II alone are sufficient to the answer of the question.
- Give the answer (X) if the data in both statements I and II together are not sufficient to answer the question.
- Give the answer (Y) if the data in both statements I and II together are are necessary to answer the question.

How will long it take to empty the tank if both the inlet pipe P1 and the outlet pipe P2 are opened simultaneously?

- P1 can fill the tank in 16 minutes.
- P2 can empty the full tank in 8 minutes.

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How many people (from the group surveyed) read both Indian Express and Times of India?

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If **137+ 276 = 435**, how much is **731 + 672/**** ?**

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Hence, 731+672=6123

Study the information carefully and answer the questions given below:

If we arrange the alphabets in the word "RATE" in the English alphabetical order, word "AERT" is formed. Then the third alphabet from the left in this word is "R". similarly, from the word "OPEN" we get - "ENOP" and the third alphabet from the left is "O". From the word "CHEF" we get - "CEFH" the third alphabet from the left "F". From the word "TOY" we get - "OTY" and the third alphabet from the left is "Y". If we use all these letters, then a meaningful English word "FORTY" can be formed.

Now find which of the following word set DOES NOT give a meaningful word in the similar way.

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Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6:30 am and travels at 50kmph towards Baroda situated 100 km away. At 7.00 am Howrah-Ahmedabad Express leaves Baroda towards Ahmedabad and travels at 40 kmph. At 7:30 am Mr. Shah, the traffic controller at Baroda realizes that both trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?

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The distance between Ahmedabad and Baroda is 100 Km

Navjivan express starts at 6:30 am at 50 Km/hr and Howrah expresses starts at7:00 am at 40 Km/hr.

Distance covered by Navjivan express in 30 minutes (by 7 am) is 25 Km/hr.

So, at 7 am, the distance between the two trains is 75 Kms and they aretravelling towards each other a relative speed of 50+40=90 Km/hr.

So, time taken them to meet is 75/90*60 = 50 minutes.

As, Mr. Shah realizes the problem after thirty minutes, time left to avoid collision is 50-30 = 20 minutes

Angles of elevation of the top of a tower from
three points (collinear) A, B and C on a road
leading to the foot of the tower are 30°, 45°
and 60° respectively. The ratio of AB and BC is

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Today is Wednesday. What would be the day
after 61 days?

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Identify the fifth number in the series:
122, 144, 166, 188, ?

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Which of the following is the odd one from
the given alternatives?

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Fill in the blank:

HEC, JGE, LIG, NKI, ______

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Choose the word opposite in meaning to the
given word: **MITIGATE**

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DNN, FQQ, HTT, ______, LZZ

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Select the pair of words, which are related in
the same way as the capitalized words are
related to each other.**BUTTERFLY : FREEDOM **

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Select the pair of words, which are related in
the same way as the capitalized words are
related to each other. **FRUGAL : EXTRAVAGANT**

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In the following figure, find the total number
of squares.

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A clock is set right at 5 AM. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?

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Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.

Now 23 hrs 44 min. of this clock = 24 hours of correct clock.

356/15 hrs of this clock = 24 hours of correct clock

89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.

= 90 hrs of correct clock.

So, the correct time is 11 p.m

Deepak, Rahul, Manoj, and Vinod are
brothers. Who is the heaviest?

- Rahul is heavier than Deepak and Vinod, but lighter than Manoj.
- Deepak is lighter than Rahul and Manoj, but heavier than Vinod.

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A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

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Which of the following diagrams correctly represents lions, elephants, and animals?

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Lions, Elephants, and Animals

Lions and Elephants are different animals.

Decide which of the give conclusions logically follow from from the given students(s) :

Statements:

All suns are moons.

Some moons are planets.

Conclusions :

I. All moons are suns.

II. At least some moons are planets.

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Replace the question mark with an appropriate image to complete the analogous pair.

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Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?

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We can get the triangles in
two different ways.

Taking two points from the line having 10 points

(in ^{10}_{}2

So,
the number of triangles here is

Taking
two points from the line having 11 points (in ^{11}_{}2

Total number of triangles, =495+550

Fill in the blank:

JAK, KBL, LCM, MDN, _____

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The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

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= H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

Find the synonym that is most nearly similar in meaning to the word:

DEBACLE

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Twelve classmates A, B, C, D, E, F, G, H I, J, K and L are sitting on a square table with 3 persons on each side. ABC and GJK are sitting on opposite sides. A and L are adjacent to each other. K is sitting diagonally to C.

If F is sitting between D and E, who is sitting to the left of K?

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If in a certain language, KOLKOTA is coded as LPMLPUB, how is MUMBAI coded in that

code?

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Twelve classmates A, B, C, D, E, F, G, H I, J, K and L are sitting on a square table with 3 persons on each side. ABC and GJK are sitting on opposite sides. A and L are adjacent to each other. K is sitting diagonally to C.

If H is sitting between L and F, then he will be facing

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Select the related word from the given alternatives.

MELT : LIQUID : : FREEZE : ?

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Twelve classmates A, B, C, D, E, F, G, H I, J, K and L are sitting on a square table with 3 persons on each side. ABC and GJK are sitting on opposite sides. A and L are adjacent to each other. K is sitting diagonally to C.

If G and E are facing C and H respectively, the neighbours of K are

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Looking at the portrait of a man, Manu said, "Her mother is the wife of my father's son and I have no brother and sister." Whose portrait was Manu looking at?

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The integers 34041 and 32506, when divided by a 3 - digit integer n, leave the same remainder. What can be the value of n?

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34041 - 32506 = 1535

So n should be a factor of 1535.

Factors of 1535:-
1, 5, 307, 1535

Here, 307 is a three digit factor of 1535. So n = 307
34041 and 32506 divided by 307 leaves remainder 271.

So 307 is the answer.

Identify the sixth number in the series:

6, 11, 21, 36, 56, ?

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The number of solid spheres ,each of diameter 3 cm that could be moulded to form a solid metal cylinder of height 54cm and diameter 4 cm is?

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U, V, W, X and T are sitting on a bench. T is sitting next to U, V is sitting next to W, W is not sitting with X who is on the left end of the bench. V is in the second position from the right. T is to the right of U and X. T and V are sitting together. In which position T is sitting?

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1.All chickens are birds.

2. Some chickens are hens.

3. Female birds lay eggs.

If the above three statements are facts, which of the following statement must also be a fact?

I. All birds lay eggs.

II. Hens are birds.

III. Some chickens are not hens.

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No women teacher can play.

Some women teachers are athletes.

I. Male athletes can play.

II. Some athletes can play.

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The number that comes next in the series 1, 2, 3, 6, 11, 20, 37, 68,...

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1 + 2 + 3 = 6

2 + 3 + 6 = 11

3 + 6 + 11 = 20

6 + 11 + 20 = 37

11 + 20 + 37 = 68

so next number in the sequence would be;20 + 37 + 68 = 125

All mangoes are golden in colour.

No golden-coloured things are cheap.

I. All mangoes are cheap.

II. Golden-coloured mangoes are not cheap.

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Using only 2, 5, 10, 25 and 50 paise coins, the smallest number of coins required to pay exactly 79 paise, 66 paise and Re 1.01 to three different persons is

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25 paise × 3 coins + 2 paise × 2 coins
Total number of coins for 79 paise = 5

Coins
For 66 Paise :

50 paise × 1 coin + 10 paise × 1 coin + 2 paise × 3 coin

Total number of coins for 66 paise = 5 coins

For 1.01 Paise :

50 paise × 1 coin + 25 paise × 1 coin + 10 paise × 2 coin
+ 2 paise × 3 coin

Total number of coins for Rs. 1.01 paise = 7 coins

So, total coins used = (5 + 5 + 7) coins

= 17 coins

Ans.(A) (because given that smallest no. of coin)

All young scientists are open-minded.

No open-minded men are superstitious.

I. No scientist is superstitious.

II. No young people are superstitious.

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What pair comes next in the following sequence 99, 90, 83, 78, ...

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Six books are labelled A, B, C, D, E and F and
are placed side by side. Books B, C, E and F
have green covers while others have yellow
covers. Books A, B and D are new while the
rest are old volumes. Books A, B and C are
law reports while the rest are medical
extracts. Which two books are old medical
extracts and have green covers?

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A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the actual price price were his was the listed price of the article?

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As dealer makes a profit of 20%,

selling price (SP) = 1.2x

But the dealer incurs loss by selling 16 articles at the cost of 12 articles.

So, SP of 16 articles = CP of 12 articles

Loss = 25%

Now, SP = 1.6x

80% of marked (or list) price (MP) = 1.6x

MP = 2x

Hence, list price is 100% above cost price.

Find out the wrong number in the FOLLOWING series.

2, 5, 10, 17, 26, 38, 50, 65

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A dealer offers sells half of the eggs that he has and another half an egg to Anurag. Then he sells half of the balance eggs and another half an egg to Deepak. Then he sells half of the balance eggs and another half an egg to Sivani. In the end he is left with just 7 eggs and he claims that he never broke an egg. How many eggs did he start with?

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Find out the wrong number in the FOLLOWING series.

30, −5, −45, −90, −145, −195, −255

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There are eight poets, namely, A, B, C, D, E, F, G and H in respect of whom questions are being asked in the examination. The first four are ancient poets and the last four are modern poets. The question on ancient and modern poets is being asked in alternate years. Those who like W also like V, those who like S like R also. The examiner who sets question is not likely to ask question on S because he has written an article on him. But he likes S. Last year a question was asked on U. Considering these facts, on whom the question is most likely to be asked this year ?

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The following questions are based on the pie charts given below.

Percentage-wise distribution of students studying in Arts and Commerce in seven

different institutions – A, B, C, D, E, F, and G.

What is the total number of students studying Arts in Institutes A and G together?

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A team must be selected from ten probables – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and J are forwards, B, G and H are point guards and D, F and I are defenders. The team must have at least one forward, one point guard and one defender. If the team includes J, it must also include F. The team must include E or B, but not both. If the team includes G, it must also include F. The team must include exactly one among C, G and I. C and F cannot be members of the same team.D and H cannot be members of the same team. The team must include both A and D or neither of them. There is no restriction on the number of members in the team. What could be the maximum size of the team that includes G?

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The following questions are based on the pie charts given below.

Percentage-wise distribution of students studying in Arts and Commerce in seven

different institutions – A, B, C, D, E, F, and G.