Hello friends in this post I will show you total questions asked in Infosys exam which was held on 16th May 2021
Section I – Reasoning Ability
(15 questions | 30 minutes)
Section II – Technical Ability
(10 questions | 30 minutes)
Section III – Verbal Ability
(20 questions | 25 minutes)
Section IV – Numerical Puzzle Ability
(4 questions | 15 minutes)
In this section I will give you all questions of Mathematical Ability questions & answers. let's start
🔶Q.1 Two cars A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively. The car B reaches the destination 2 hours earlier than A. What is the time taken by A to reach the destination?
A. 7 hours 20 minutes
B. 9 hours 05 minutes
C. 8 hours 25 minutes
D. 7 hours 30 minutes
📌Solution:-
Let the time taken by car A to reach destination is T hours So, the time taken by car B to reach destination is (T-2) hours.
As the destination of both the cars is same
=>40(T) = 55 (T-2)
=>40T=55T-110
=> 15T = 110
🎯>>T= 7 hours 20 minutes
🔶Q.2 How many three digit numbers are formed where at least two of the three digits are same?
A. 648
B. 900
C.388
D. 252
📌Solution:-
Number of three digit numbers formed with all its digits distinct:
First place can be filled with 9 ways, as 0 can not come here.
Second place can be filled with remaining 9 digits.
Third digit can be filled with remaining 8 digits.
Total ways=9+9+8 = 648
Total number of 3 digits number formed=9*10*10 = 900
🎯Required number of digits = 900- 648 = 252
🔶Q.3 A and B start from the same point and run around a circular stadium, whose circumference is 2800 m, at the rate of 250 m and 350 m per minute respectively in the opposite direction. They will meet each other in?
A. 18/5 min
B.14/3 min
C. 16/3 min
D. 11/3 min
📌Solution:-
Let A covers 'x' meters while he meets B
Time taken by A to cover the x distance Time taken by B to cover the 2800 x distance
=> x/250 (2800-x)/350
⇒x=1167.67 m
Time taken by A to cover 1167.67 m = 1167.67/250
🎯= 4.67 min = 14/3 min
🔶Q.4 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. 8! 4! 4! B. 3! 8!
C. 3! 4! 8! D. 4! 4!
📌Solution:-
8 Indians can be arranged themselves in 8! Way.
4 American can be arranged themselves in 41 Ways.
4 Englishman can be arranged themselves in 41 Ways.
Taking all person of same nationality as one person, then we will have only three people.
These three person can be arranged themselves in 3! Ways.
🎯Hence, required number of ways = 31*81*41*4! Ways.
🔶Q.5 A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days?
A. 2 days B. 4 days
C. 3 day D. 5 days
📌Solution:-
Let 1 man 1 day's work =x
1 woman 1 day's work = y
=> 6x+5y = 1/6 ---- (1)
and 3x+4y= 1/10---- (2)
On solving, we get x = 1/54 and y=1/90
(9 men + 15 women)'s 1 day's work (9/54)+ (15/90) = 1/3
🎯9 men and 15 women will finish the work in 3 days
🔶Q.6 If twenty sweets are distributed among some boys and girls such that each girl gets two sweets and each boy gets three sweets, what is the number of boys and girls?
📌Statement
A. The number of girls is not more than five.
B. If each girl gets 3 sweets and each boy gets 2 sweets, the number of sweets required for the children will still be the same.
A. Statement A alone is sufficient but Statement B alone is not sufficient to answer this question.
B. Statement B alone is sufficient but Statement A alone is not sufficient to answer this question
C. Both statements together are able to solve the question but, neither statement alone is sufficient.
D. Statement A and B together are not sufficient to solve.
🎯Ans:- Statement B alone is sufficient but Statement A alone is not sufficient to answer this question
🔶Q.6 Find the missing term in the following series?
0, 2, 9, ........., 50, 90, 147
A. 27 B. 27
C. 24 D. 30
📌Solution:-
0, 2, 9, 24, 50, 90, 147
2-0=2,
9-2=7,
24-9=15,
50-24=26,
90-50=40,
147-90=57
🎯The new series: 2, 7, 15, 26, 40, 57
🔶Q.7 Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.?
A. 48
B. 45
C.55
D. 50
📌Solution :-
Required length H.C.F. of 495 cm, 900 cm and 1665 cm.
495 = 32 x 5 x 11,
900= 22 x 32 x 52,
1665 = 32 x 5 x 37.
H.C.F. = 32 x 5 = 45.
🎯Hence, required length = 45 cm.
🔶Q.8 Shruti purchased some articles for 2,400. She sold two-third of the articles purchased at 10% loss. Find the profit percentage at which the rest of must be sold to gain an overall profit of 25%?
A. 90%
B. 89%
C. 82%
D. 95%
📌Solution
The C.P of the articles = 2,400
overall Profit = 25%
So, Total S.P=(2,400* 125)/100 = 3,000
The C.P of the articles - 2,400
overall Profit = 25%
So, Total S.P (2,400 125)/100 = 3,000
(2/3)rd of the C.P (2/3)* 2,400 = 1,600
Loss = 10%
S.P. of (2/3) of articles (1,600 * 90)/100 = 1,440
Then,
S.P on remaining (1/3) articles 3,000-1,440 1,560
CP on remaining articles = (1/3)* 2,400 = 800
Profit= S.P-C.P= 1,560 - 800 = 760
hence,
🎯Profit % = (760 100)/800 = 95%
🔶Q.9 A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
📌Solution:-
A team of 6 members has to be selected from the 10 players. This can be done in 10C6 210 ways.
Now, the captain can be selected from these 6 players in 6 ways.
🎯Therefore, total ways the selection can be made is 210*6 = 1260
🔶Q.10 How many 4 digit numbers contain number 2?
A. 3168
B. 4690
C. 3170
D. 3178
Total number of 4 digit numbers are 9000 (between 1000 and 9999).
We find the numbers without any two in them:
1st place can be filled in 9 ways (except 2)
2nd place can be filled in 9 ways (except 2)
3rd place can be filled in 9 ways (except 2)
4th place can be filled in 8 ways (except 0,2)
So total numbers are 8x9x9x9 5832
🎯So numbers with number two in them
= 9000 - 5832 = 3168
🔶Q.11 What is the next number of the following sequence 7, 14, 55, 110, ....?
A. 138
B. 121
C. 125
D. 130
📌 Solution:-
Next number = Previous number + Reverse of previous number
🎯So, 7,7+7=14, 14+41 55, 55+55 110, 110+011 = 121
🔶Q.12 A box contains 5 green, 4 yellow and 3 white balls. Three balls are drawn at random. What is the probability that they are not of same colour?
A. 3/44
B. 52/55
C. 3/55
D. 41/44
📌Solution:-
Total cases ¹2C₁ = 220
Total cases of drawing same colour ³C₁+ *C₂ + ³C₂ = 15
Probability of same colour = 15/220 = 3/44
So, probability of same colour 1-3/44 = 41/44
🔶Q.12 A 1 unit of x% alcohol is mixed with 3 units of y% alcohol to give 60% alcohol. If x> y, how many integer values can x take?
A. 13
B. 19
C. 20
D. 21
1 unit of x mixed with 3 unit of y.
(x-60) = 3(60-y)
=> x=(120-3y) = 3(40 - y)
=> x has to be a multiple of 3
As x > y
=> x > 60 > y
🎯x can take values (63, 66, 69, 72.... 99)- A total of 13 values
🔶Q.13 Find the value of x which satisfies the relation?
Log10 3+log10 (4x+1)= log₁0 (x+1)+1
A. 2/7
B. 7/2
C. 3/7
D. 1/10
📌Solution:-
logio 3+logio (4x+1)=logi (x+1)+1
=> Logi0 3+logio (4x+1)=logio (x+1)+ logio 10
=> Log10 (3(4x+1))= log10 (10(x+1))
=> 3(4x+1)=10(x+1)
🎯=> x=7/2
🔶Q.14 A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2hours30minutes to cover a distance of 5km upstream. find the speed of the river current in km/hr?
A. 3km/hr
B. 2km/hr
C.1km/hr
D. 2.5km/hr
📌Solution:-
downstream rate =(15/3 %)km/hr (15*4/15)km/hr-4km/hr.
upstream rate =(5/2 %)km/hr=(5*2/5)km/hr=2km/hr.
Speed of current=1/2" ( downstream rate - upstream rate)
🎯1/2(4-2)km/hr=1km/hr
Q.15 Find the remainder when (x³+4x²+ 6x-2) ÷
(x+5)?
A.-33
B. -57
C. 6
D. 57
x+5=0
=> x = -5
f(x)=x² + 4x² + 6x-2
🎯=> f(-5) = (-5)+4(-5)² + 6(-5)-2= -57
I hope you have completely solved all these questions, if you have any query then ask your queries in the comment section.
🎯🔶📌 Best Of Luck📌🔶 🎯
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