Question 1
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
Question 23
A17R:D12P::G7N:?
a)H2L
b)H3M
c)J2L
d)H3M
Answer
C) J2L
Question 24
Answer
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