Question 1

#### Two cards are drawn from a deck of 52 cards without replacement. what is the probability of getting both cards black or getting one card queen and the other king?

#### a)337/1326

b)25/102

c)15/26

d)7/13

e)None of the above

Answer

#### d) None of the above

n(S)= 52

let b be the event that we get both black cards

n( b)= 26

thus p(b)= 26÷52=1 upon 2

let a be the even that we get one queen and one King

#### thus n(a) = 16

p(a)=16÷52= 8/26 = 4/13

Question 2

#### From the given anagrams select the odd one out

A) ESOR

B) POLIT

C) LUFTE

D) STUOL

Answer

#### Answer :

#### C) LUFTE (FLUTE)

#### This question is related to anagrams.

#### Cambridge English Dictionary defines ‘anagram’ as ‘a word or phrase made by using the letters of another word or phrase in a different order.’

#### The anagrams for the words are as follows :

#### A) ESOR = ROSE

#### B) POLIT = PILOT

#### C) LUFTE = FLUTE

#### D) STUOL = LOTUS

#### Clearly, flute is the odd one out as it is a musical instrument while Rose, Lotus and Pilot are the names of flowers.

Question 3

#### What are the largest 4 digit and smallest 3 digit numbers divisible by 6,15,21 & 24?

#### A)9235,420

B)9980,840

C)9240,840

D)9999,999

Answer

#### C)9240,840

The largest 4 digit number is 9240 and smallest 3 digit number is 840.

#### Step-by-step explanation:

#### To find : What are the largest 4 digit and smallest 3 digit numbers divisible by 6,15,21 & 24 ?

#### Solution :

#### First we find the LCM of the numbers 6,15,21 & 24

#### 2 | 6 15 21 24

#### 2 | 3 15 21 12

#### 2 | 3 15 21 6

#### 3 | 3 15 21 3

#### 5 | 1 5 7 1

#### 7 | 1 1 7 1

#### | 1 1 1 1

#### The largest number in 4 digits = 9999

#### Now,

#### Remainder = 759

#### So the largest number, divisible by 6, 15, 21 and 24 is

#### The smallest number in 3 digits, divisible by 6, 15, 21 and 24 is LCM.

#### i.e. n=840

Question 4

#### The number of prime factors of (3 x 5)^{12} (2 x 7)^{10} (10)25 is:

#### a)47

b)60

c)72

d)None of the above

Answer

#### d)None of the above

Solution:-

(3 × 5)^12 × (2 × 7)^10 × (10)^25

= (3)¹² × (5)¹² × (2)¹⁰ × (7)¹⁰ × (2)²⁵ × (5)²⁵

= (3)¹² × (5)¹²⁺²⁵ × (2)¹⁰⁺²⁵ × (7)¹⁰

= (3)¹² × (5)³⁷ × (2)³⁵ × (7)¹⁰

Now, it cannot be further factorised hence this is the prime factorisation of the above number.

So, (3)¹² × (5)³⁷ × (2)³⁵ × (7)¹⁰ has total

12 + 37 + 35 + 10 = 94 prime factors.

Question 5

#### A boy is facing north west. he turns 85 degree in the anti clockwise direction and then 50 degree in the same direction. which direction is he facing now?

#### a)South-West

b)South-East

c)South

d)North

Answer

#### c)South

To answer this question we need to draw the compass.

#### We should understand that between each of the cardinal points we have 90°.

#### North West is 45° from both North and West.

#### 85° anticlockwise turn lands us to South west ,40° from West.

#### 50° anticlockwise turn lands us on the south direction.

#### The final direction is thus South.

Question 6

#### Meeru has lost her way home and was standing 25 meters away from her house in the south-west direction. she walks 20 meters north and reaches point

A. How far and in which direction would she have to walk to reach her house?

#### a)20 meters,East

b)15 meters, East

c)15 meters, West

d)20 meters, West

Answer

#### d)15 meters, East

Question 7

#### 10,74,202,394,….?

#### a)600

b)621

c)625

d)650

Answer

#### d) 650

#### Step-by-step explanation:

#### 10 , 74 , 202 , 394 650

#### 64 128 192 256

#### 64 64 64

Tₓ₊₁ = Tₓ + 64x x > 0 integer , where T₁ = 10

#### Rule here is Next number = Previous number + 64 * (Previous number Sequence)

#### Next number would be 650

Question 8

#### Rasheb starts for a wedding venue at 6 pm and drives at a speed of 60 km/hr. Ramesh starts for the same venue at 6.30 pm. and drives at a speed of 75 km/hr When will both reach the venue. provided they reach at the same time?

#### a)8:00pm

b)9:30pm

c)9:00pm

d)8:30pm

Answer

#### d)8:30 pm

#### Step-by-step explanation:

#### t = d/60 = d/

#### d = 60t = 75(t – 0.5)

#### 15t = 75×0.5 , t = 2.5 hours

#### they will reach at 8:30 pm

Question 9

#### Read the following information carefully and answer the questions given below it.

(i) Six friends P, Q, R,S, T and U are members of a club and play a different game of – Football, Cricket, Tennis, Basketball, Badminton and Volleyball.

(ii) T, who is taller than P and S, plays Tennis.

(iii) The tallest among them plays Basketball.

(iv) The shortest among them plays Volleyball.

(v) Q and S neither play Volleyball nor Basketball.

(vi) R plays Volleyball.

(vii) T is between Q who plays Football and P in order of height.

#### Which of the following statements is NOT TRUE?

#### a)P is shorter than R

b)Q is taller than S

c)T is taller than R

d)U is taller than Q

Answer

#### Answer: Option a) P is shorter than R

P Cricket or Badminton

Q Football

R Volleyball

S Cricket or Badminton

T Tennis

U Basketball

Question 10

#### If SPORTS is coded as TOPQUR, then GAME is coded as

#### A)HZND

B)FBNF

C)HBND

D)FZNF

Answer

#### A)HZND

Question 11

#### Rohan is walking towards west .he takes three turns while walking,all at an (internal) angle of 45 degree towards right, right and left.what direction is he facing now?

#### a)North-East

b)South-East

c)East

d)West

Answer

#### a)North-East

Question 12

#### One gear pulley rotates at a speed of 3 rev/sec another gear roates at 5 rev/sec. if both start together after how many seconds will they be together again?

a) 3 sec

#### b) 5 sec

#### c) 15 sec

#### d) 20 sec

Answer

#### The correct answer is Option C: 15

Question 13

#### Product of two numbers is 9, 152 and their HCF is 8. What is the LCM of the numbers?

a)1144

b)2154

c)1048

d)1456

Answer

#### The correct answer is Option A:1144

#### Product of two numbers=Product of their LCM and HCF

#### or, 9152 = LCM × HCF

#### or, LCM ×8= 9152

#### or, LCM = 9152/8=1144

#### Hope that helped.

Question 14

#### Which of the two is greater, 22/7 or 138/43?

a) 22/7

b) 138/43

c) Both are equal

d) Undefined

Answer

#### The correct answer is Option :B

138/43 is greater

Question 15

#### A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed?

A. 4914

#### B. 3630

#### C. 3724

#### D. 3824

Answer

#### Option A

Question 16

#### In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?

A. 3! 4! 8! 4!

#### B. 3! 8!

#### C. 4! 4!

#### D. 8! 4! 4!

Answer

#### Option A

Question 17

#### How many different words can be formed using all the letters of the word ALLAHABAD?

(a) When vowels occupy the even positions.

(b) Both L do not occur together.

A. 7560,60,1680

#### B. 7890,120,650

#### C. 7650,200,4444

#### D. None of these

Answer

#### Option D

Question 18

#### Arrange 2/15, 18/29, 7/18, 10/87 in ascending order:

a) 10/87 , 2/15 , 7/18 , 18/29

b) 2/15 , 7/18 , 18/29, 10/87

c) 7/18 , 18/29, 10/87 , 2/15

d) 10/87 , 7/18 , 18/29, 2/15

Answer

#### The correct answer is Option :A

10/87 , 2/15 , 7/18 , 18/29

Question 19

#### A total profit of rs. 36,000 is to be distributed among rajesh, salesh and rajeev such that rajesh : salesh :: 5 : 4 and salesh : rajeev :: 8 : 9. what is the share of rajeev

a) 24000

b) 21000

c) 15000

d) 12000

Answer

#### The correct answer is Option :d

12000

#### Ratio of Rajesh : Salesh = 5 : 4

Ratio of Salesh : Rajeev = 8 : 9

Since both ratio have Salesh, we will make Salesh’s share in both the ratio the same.

Rajesh : Salesh = 5 : 4

multiply by 8:

Rajesh : Salesh = 40 : 32

Salesh : Rajeev = 8 : 9

Multiply by 4 :

Salesh : Rajeev = 32 : 36

Now we have the two ratios:

Rajesh : Salesh = 40 : 32

Salesh : Rajeev = 32 : 36

Since both Salesh’s share is the same, we can combine the two ratio:

Rajesh : Salesh : Rajeev = 40 : 32 : 36

#### Define x :

Let x be the constant ratio

Rajesh : Salesh : Rajeev = 40x : 32x : 36x

Solve x:

The total sum is Rs 36000

40x + 32x + 36x = 36000

108x = 36000

x = 1000/3

#### Find Rajeev’s share:

Rajeev = 36x = 36 (1000/3) = Rs 12000

Answer: Rajeev’s share is Rs 12000

Question 20

#### The population of a town three years ago was ‘b’ and the population of the town three years from now will be ‘c’. What is the current population of the town, if it grows at the same rate?

(a) √(bc)

(b) b√(c)

(c) c√(b)

(d) √(b/c)

Answer

#### option d.

Question 21

#### Paul can complete a project in 6 days. With the help of an intern, he can do it in 4 days. At what time can the intern complete the project alone?

a) 8

b)6

c)4

d)10

Answer

#### Option c.

#### The intern can complete the project in 4 days

Explanation:

Paul can complete it 2 days faster with the intern.

But if Paul is not there then 2+2=4 days needed for intern to complete project

Question 22

#### A detergent powder company is having acontest.

Each pack of 1kg contains one of the letters B, A, M and O. In every 20 packs, there are four Bs, five As, ten Ms and one O. What is the probability that a pack will have a B

a) 1/5

b) 1/2

c) 1/10

d) 1/8

Answer

#### Option a.

Question 23

#### A17R:D12P::G7N:?

#### a)H2L

b)H3M

c)J2L

d)H3M

Answer

#### C) J2L

Question 24

#### There are 5 types of toys with 2 toys of each type in how many ways can a shopkeeper arranged on shelf

a) 140000

b) 189400

c) 102400

d) 113400

Answer