Question 1
Answer
Question 1
What is the sum ( in RS) which when divided among X Y Z in the proportion 3:5:7 provides rupees 8000 more to Z then what it would have done to him when the proportion is 11 : 15 : 19?
180000
120000
175000
135000
Answer
Option= 180000
X:Y:Z
3: 5: 7
Z got 8000 more = 2 parts more than Y
If 2 parts = 8000
Then 1 part = 4000
Final ratio = 11: 15: 19 = 45 parts
45 x 4000 = Rs 180000
Question 2
Answer
Question 2
A man has to travel 50 km in 2 hours. He could cover 20 km in one hour, and then had to stop for 10 minutes for refueling. By What factor should he increase his speed with reference to that during the first hour so as to be able to complete the journey as per schedule?
1.5
1.8
1.2
2.4
Answer
option=1.8
Question 3
Answer
Question 3
If the positive square root of (
) is multiplied by
(
) and the product is raised to the power of four, the result would be
100
1600
11520000
10
Answer
option = 10 (use the TCS calculator directly to find the answer of this question)
Question 4
Answer
Question 4
X is four times as efficient as Y in respect of doing a particular work. Working together they complete the work in 16 days. In how many days y working alone will be able to half the work?
80
20
40
60
Answer
Option = 40
Efficiency of X = 4a
Efficiency of Y = a
Time taken by both to complete a work = 16 days
a = 20
Hence X will do the work in 20 days
And Y will do the work in 80 days
Thus Y will do half of work in 40 days
Question 5
Answer
Question 5
If 
= 225 x 405, find the value of 
27
81
125
25
Answer
Option = 27
Prime Factorization of 225 = 5 x 5 x 3 x 3
Prime Factorization of 405 = 3 x 3 x 3 x 3 x 5
5336 = 5X3Y
So X = 3 and Y = 6
Now, X2y – 3x = 32(6) – 3(3)
312 – 9 = 33 = 27
Question 6
Answer
Question 6
The collection of numbers which comprise the data given below is arranged in ascending order.
(3,7,9, N – 1,15,18,19,20)
If the median of the data is 12.5, what is the value of N?
10.5
11.5
11
12
Answer
Option = 11
Median of the even data = (sum of middle terms) / 2
= [(N – 1) + 15] / 2 = 12.5
Question 7
Answer
Question 7
How much percentage is (0.025% of 240% of 1.5) of 0.9?
10
0.01
0.1
1
Answer
Option = 0.1
Question 8
Answer
Question 8
After purchasing two copies of the same book, X sold them respectively at 0.8 and 1.4 times their cost prices. What was the percentage gain earned or loss incurred by X?
10% loss
5% gain
10% gain
5% loss
Answer
Option = 10% gain
Let the C.P of each copy be Rs 100
ATQ one copy is sold at 0.8 x 100 = 80
One copy is sold at 1.4 x 100 = 140
Total money spent in buying the copies = Rs 200
Total money earned after selling the copies = Rs (80 + 140) = Rs 220
Total gain of Rs 20. Therefore gain% = 10%.
Question 9
Answer
Question 9
A file of cadets consisting of ten rows and five columns measures 420 m in length along the direction of their marching. How much time (in hours and minutes) would it take to march for a stretch of 3 km, if the stride of each cadet is 80 cm and he takes 57 strides per minute?
1 hr 10 min
1 hr 20 min
1 hr 24 min
1 hr 15 min
Answer
Option =1 hr 15 min
Question 10
Answer
Question 10
Two vessels X and Y of capacities one and two litres respectively are completely filled with mixtures of two chemicals A and B.The ratio by volume of the chemicals A and B in X and Y are 3:2 and 4:5 respectively.The contents of A and B are mixed and the combination is kept in a vessel C of capacity of four litres.How many litres of Chemical A should be added to the combination so as to make the ratio of A to B equal to 1:1?
Not visible
Answer
Option =1 hr 15 min
Question 11
Answer
Question 11
The diameter of a pizza is 30 cm.What is the area(in 
)of the upper surface of a sector of the pizza whose arc length is 8 cm?
- 120
- 120
- 60
- 60
Answer
Option=60cm2
Area of sector when arc is given = (L x r)/2
Where L = length of arc and r = radius of the circle Here L = 8 cm and r = 15 cm
Therefore, Area = 
= 60cm2
Question 12
Answer
Question 12
In a competitive exam, 5 marks are awarded for every correct answer and for every wrong answer, 2 marks are deducted. Sathwik scores 32 marks in the examination. If 4 marks had been awarded for each correct answer and 1 mark had been deducted for each incorrect answer, Sathwik would have scored 34 marks. If Sathwik attempted all the questions, how many questions were there in the test ?
14
12
20
26
Answer
Option= 26 Answer
In given Question:-
Correct answer =5x and wrong answer=2y
Correct answer =4x and wrong answer= 1y
So,
5x -2y = 32
4x-2y =34——*2
Now
5x-2y =32
8x-4y=68
By solving
3x=36
x=12
Now to find ‘y’
5*12 -2y =32
60 -2y= 32
y=14
By adding x+y
12+24 =26
Questions in the test =26
Question 13
Answer
Question 13
An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. What would be the gain or loss percentage if a discount of 25% is given on the list price ?
2.5% gain
2.5% loss
4% loss
4% gain
Answer
Option =4% loss
Question 14
Answer
Question 14
The mean of a set of data is 5. What will be the mean if ten is subtracted from each data ?
-5
5
10
-15
Answer
Option = -5
let the number of data be n
so sum of data = mean * number of data
= 5 n
now 10 is subtracted to each data
so now sum becomes = 5n-10n =-5n
mean = sum of data /no. of data
=-5n/n = -5
so new mean becomes -5
Question 15
Answer
Question 15
If (x+10)% of 240 is 60% more than x% of 180, then 15% of (x+20) is what percent less than 25% of x ?
15
16
Answer
Option = 16
Question 16
Answer
Question 16
What is the diameter (in cm) of a solid right circular cylinder whose height is 6 cm and the area of the curved surface is five times the combined area of the two flat surfaces
2.4
0.9
1.2
3
Answer
Option = 1.2
Here h = 6 cm
C.S.A = 2
rh
2
rh = 5(2
)
2 x x r x 6 = 10 x x 
12 x x r = 10 x 
x 
12 = 10r
1.2 = r
Question 17
Answer
Question 17
A sum invested on simple interest grows to Rs 22500/- and Rs 25500/- is seven and nine years respectively. What is the rate percentage of the interest ?
7.5
9.6
12.5
13.5
Answer
Option= 12.5
Total Interest of two years= 25500-22500=3000
Interest of one year= 3000/2 = 1500
Total Interest = 9 * 1500 = 13500
Principle = 25500 – 13500 = 12000
R= I * 100/P *t
= 13500 *100/1200*9 = 12.5
Question 18
Answer
Question 18
What is the value of 
?
0.5
5
0.2
2
Answer
Option = ⅕= 0.2
Question 19
Answer
Question 19
The variation in temperatures throughout the day in a desert town was studied on the basis of the record of minimum and maximum temperatures which were 36 and 8 degrees centigrade respectively. What was the standard deviation in degree centigrade?
12
22
14
28
Answer
Option =
Question 20
Answer
Question 20
A sum of Rs. 30000 invested in a scheme where the interest gets compounded annually and grows to Rs. 51840 in three years. How much interest in Rs. would have got accrued in six months in the same scheme had the interest been compounded quarterly?
3075
2975
3024
3126
Answer
Option = 3075
Question 21
Answer
Question 21
96 men were engaged for a project of constructing a railway track of the length of 18 km in four weeks. After one week it was observed that the work of 4 km was completed. How many additional men should be engaged for timely completion of the project?
16
14
15
12
Answer
Option = 16
4 km was completed by 96 men
Remaining work is 14km in three weeks so per week 14/3
For 4km——— 96men
For 14/3 km ———– ?
= 14/3 x 96 x ¼ = 112 so additionally 16 men needed
Question 22
Answer
Question 22
If n is an integer such that 1nn352 is a six-digit number exactly divided by 24, what will be the sum of the possible value of n?
21
27
9
15
Answer
Option = 15
Possible values of n are 2, 5 and 8 so sum of all possible values is 2 + 5 + 8 = 15
Question 23
Answer
Question 23
What is the mean deviation of the data 8,9,12,15,16,20,24,30,32,34?
A.10.2
B.8
C.0
D.9.6
Answer
Option = 8
Step 1
Find the mean
8+9+12+15+16+20+24+30+32+34/10
=200/10
=20
Find the distance of each value from that mean
Value | Distance from 20 |
8 | 12 |
9 | 11 |
12 | 8 |
15 | 5 |
10 | 4 |
20 | 0 |
24 | 4 |
30 | 10 |
32 | 12 |
34 14
Step 3:- Find the mean of those distances
12+11+8+5+4+0+4+10+12+14/10
80/10=8
Question 24
Answer
Question 24
The marks scored by a student out of 100 in English and Mathematics at four consecutive monthly test held in 2019 are presented through a Bar Graph shown below. In each case the marks is a multiple of five.
In which month is the difference of marks scored in the two subjects the highest ?
Jan
Mar
Apr
Feb
Answer
Option =Feb
Question 25
Answer
Question 25
The temperature (
}F of a patient was recorded (using a clinical thermometer with smallest division equal to 1^{\circ}F) during 6 AM to 8PM on four consecutive days,A,B,C,D at intervals of two hours and the results are presented in a tabular form given below.The reading at a particular time provides the average body temperature (ABT) of the patient for the previous one hour.He is supposed to be given temperature controlling medicine (TCM) at the bedtime if the total duration of his ABT remaining above 99^{\circ}F during the 14 hour period of record is four hours or more.on which day,TCM was required?
Day/Time | 0600 | 0800 | 1000 | 1200 | 1400 | 1600 | 1800 | 2000 |
A | 101 | 100 | 99 | 98 | 99 | 98 | 100 | 100 |
B | 98 | 99 | 100 | 100 | 99 | 99 | 100 | 102 |
C | 98 | 99 | 99 | 101 | 100 | 99 | 99 | 100 |
D | 98 | 98 | 99 | 99 | 99 | 98 | 98 | 99 |
A
D
B
C
Answer
Option = D
=20
Find the distance of each value from that mean
Value | Distance from 20 |
8 | 12 |
9 | 11 |
12 | 8 |
15 | 5 |
10 | 4 |
20 | 0 |
24 | 4 |
30 | 10 |
32 | 12 |
34 14
Step 3:- Find the mean of those distances
12+11+8+5+4+0+4+10+12+14/10
80/10=8
Question 26
Answer
Question 26
What is the mean proportional (MP) between the MPs of
Answer
Q1. A man has to travel 50 km in two hours. He could cover 20 km in one hour, and then had to stop for 10 minutes for refueling. By what factor should be increase his speed with reference to that during the first hour so as to be able to complete the journey as per schedule?
1.2
1.8
2.4
1.5
Answer: Option B
Q2. If n is an integer such that 1nn352 is a six-digit number exactly divisible by 24, what will be the sum of the possible values of n?
15
27
9
21
Answer: Option A
Q3. The diameter of a pizza is 30 cm. What is the area (in square cm) of the upper surface of a sector of the pizza whose arc length is 8 cm?
120 * pi
60
60 * pi
120
Answer: Option B
Q4. What is the mean proportional (MP) between the MPs of (2/7 & 32/343) and (2 & 1/5000)?
3/35
4/35
2/35
2/175
Answer: Option C
Q5. If (x+10)% of 240 is 60% more than x% of 180, then 15% of (x+20) is what percent less than 25% of x?
16
15
15 ½
19 1/21
Answer: Option A
Q6. A sum of Rs.30000 invested in a scheme where the interest gets compounded annually and grows to Rs. 51840 in three years. How much interest (in Rs.) would have got accrued in six months in the same scheme had the interest been compounded quarterly?
3024
3075
3126
2975
Answer: Option B
Q7. How much percentage is (0.025% of 240% of 1.5) of 0.9?
0.01
10
0.1
1
Answer: Option C
Q8. If the positive square root of ((90^0.5)+(80^0.5) is multiplied by (2^0.5 – 1), and the product is raised to the power of four, the result would be:
1600
11520000
100
10
Answer: Option D
Q9. What is the mean deviation of the data: 8,9,12,15,16,20,24,30,32,34?
8
10.2
0
9.2
Answer: Option A
Q10. An item was sold at a profit of 12% after giving a discount of 12.5% on the List Price. What would be the gain or loss percentage if a discount of 25% is given on the List Price?
5% loss
5% gain
4% gain
4% loss
Answer: Option D
Q11. What is the diameter in cm of a solid right circular cylinder whose height is 6 cm and the area of the curved surface is five times the combined area of the two flat surfaces?
3
2.4
1.2
0.9
Answer: Option B
Q12.The Variation in temperature throughout the day in a desert town was studied on the basis of the records of the maximum and minimum temperatures which was 36 and 8 degree centigrade respectively. What was the standard deviation in degree centigrade?
28
22
14
12
Answer: Option A
Q13. The Collection of numbers which comprise the data given below is arranged in ascending order. (3,7,9,N – 1,15,18,19,20). If the median of the data is 12.5, what is the value of N?
11
12
11.5
10.5
Answer: Option A
Q14.A file of cadets consisting of ten rows and five columns measures 420m in length along the direction of their marching. How much time( in hours and minutes) would it take to march for a stretch of 3 km, if the stride of the each cadet is 80cm and he takes 57 strides per minute?
1 hr 15 min
1 hr 24 min
1hr 10 min
1 hr 20 min
Answer: Option A
Q15.96 men were engaged for a project of constructing a railway track of the length of 18km in four weeks. After one week it was observed that the work of 4km was completed. How many additional men should be engaged for timely completion of the project?
12
16
14
15
Answer: Option B
Q16. X is four times as efficient as Y in respect of doing a particular work. Working together they complete the work in 16 days.In how many days Y, working alone,will be able to do half the work?
A.40 B.80 C.60 D.20
Answer: Option A
Q17. In a competitive exam, 5 marks are awarded for every correct answer and for every wrong answer, 2 marks are deducted. Sathwik and 32 marks in this examination. If 4 marks has been awarded for each correct answer and 1 mark had been deducted for each incorrect answer, Sathwik would have scored 34 marks. If Sathwik attempted all the questions, how many questions were there in the test?
20
14
12
26
Answer: Option D
Q18. A sum invested on simple interest grows to Rs 22500 and Rs 25500 in seven and nine years respectively. What is the rate percentage of the interest?
7.5
9.6
13.5
12.5
Answer: Option D
Q19. What is the sum (in Rs) which, when divided among X, Y, Z in the proportion 3 : 5 : 7 provided Rs. 8000 more to Z than what it would have done to him when the proportion is 11 : 15
: 19?
120000
180000
135000
175000
Answer: Option B
Q20. What is the value of (0.0000128)1/7?
0.2
5
2
0.5
Answer: Option A
Q21. After purchasing two copies of the same book, X sold them respectively at 0.8 and 1.4 times their cost prices. What was the percentage gain earned or loss incurred by X?
5% gain
10% gain
5% loss
10% loss
Answer: Option B
Q22. Two vessels X and Y of capacities one and two litres respectively are completely filled with mixtures of two chemicals A and B. The ratio by volume of the chemicals A and B in X and Y are 3:2 and 4:5 respectively. The contents of A and B are mixed and the combination is kept in a vessel C of capacity of four liters. How many liters of Chemical A should be added to the combination so as to make the ratio of A to B equal to 1:1?
1/135
1/67
1/68
1/270
Answer: Option C
25th Oct Slot 1
Q1. A sales representative’s commission is 6% on all sales up to Rs.15000 and 5% on all sales
exceeding this. He remits Rs.47350 to his company after deducting his commission. What were
the total sales?
A. Rs.50000
B. Rs.49000
C. Rs.47500
D. Rs.50500
Answer: Option A
Q2. When the List Price (LP) of an article is fixed at 30% above the Cost Price (CP), and while
selling the same, it is subject to a discount of x%, the profit percentage is 80% of that when the
LP is fixed at 25% above the CP and the discount is 16%. What is the value of x?
A. 3.6
B. 3.25
C. 3
D. 3.84
All the answer options are wrong.
Correct Answer: 20
Q3. The ratio of the average speeds of two sprinters A and B is 8:7. In a racing track if B startsat
a distance 2m ahead of A, at what distance (in metre) from the starting point of B would A
catch up with B?
A. 2.8
B. 1.5
C. 0.4
D. 4.4
All the answer options are wrong.
Correct answer: 14
Q4. A sum invested in compound interest (CI) at a certain rate for three years earns the same
interest as it would earn by way of an investment in simple interest (SI) at the rate of 18.2% for
four years. How much more or less is the percentage rate in the case of the CI than that in the case
of the SI?
A. 21.25
B. 18.43
C. 16.52
D. 20.63
All the answer options are wrong.
Correct answer: +1.8%
Q5. With symbols having their usual meanings the mean of the data given below is 39.2.
x | 36 | 40 | 35 | 44 |
f | 10 | 13 | 12 |
What is the missing frequency?
A. 125.2
B. 124.6
C. 124.2
D. 123.8
All the answer options are wrong.
Correct answer: 15
Q6. What is the fourth proportional of the mean proportionals between (4, 6.25); (0.0027, 300);
(1.2 X 10-3
, 3)?
A. 4.8
B. 48
C. 36
D. 3.6
All the answer options are wrong.
Correct answer: 43.92
Q7. What is the mean Deviation from the median for the data given below?
Data: 34, 46, 28, 48
A. 64
B. 53
C. 66
D. 51
All the answer options are wrong.
Correct answer: 8
Q8. In a competitive exam, 5 marks are awarded for every correct answer and for every wrong
answer, 2 marks are deducted. Sathwik and 32 marks in this examination. If 4 marks has been
awarded for each correct answer and 1 mark had been deducted for each incorrect answer,
Sathwik would have scored 34 marks. If Sathwik attempted all the questions, how many
questions were there in the test?
A. 20
B. 14
C. 12
D. 26
Answer: Option D
Q9. Raju lends Rs. 3000 to Bharath and a certain sum to Charan at the same time at 6% per
annum simple interest. If after 5 years, Raju altogether receives Rs. 1650 as the interest from
Bharath and Charan, what is the sum lent to Charan?
A. Rs. 2500
B. Rs. 2750
C. Rs. 3250
D. Rs. 3300
Answer: Option A
Q10. What is the difference between the Range and the Standard Deviation of all the natural
numbers between 81 and 90, both inclusive?
A. 7
B. 11
C. 9
D. 8
All the answer options are wrong.
Correct answer: 7.13
Q11. What is the simplified value of:
A. 0.4
B. 0.08
C. 0.8
D. 0.04
All the answer options are wrong.
Correct Answer: 2.54
Q12. The area of a sector, with a central angle of 150
, of a circle is 231 sq cm. If 𝚷 = 22/7, what is the
circumference (in cm) of the circle?
A. 2.8
B. 1.45
C. 2.1
D. 2.45
All the answer options are wrong.
Correct answer: 264
Q13. The total surface area of a solid hemisphere is 75 times the area of a circle whose
diameter is 6 cm. What is the radius (in cm) of the hemisphere?
A. 80π
B. 120π
C. 100π
D. 50π
All the answer options are wrong.
Correct Answer: 15
Q14. A takes 10 days less than B to complete a work, and together they do it in 12 days. In how
many days can B alone do the work?
A. 9
B. 12
C. 10
D. 6
All the answer options are wrong.
Correct Answer: 30 days
Q15. A shopkeeper calculated his profit as 12% with the selling price of an article as the
base. What would have been his actual profit percentage if the selling price was 20% more?
A. 20
B. 24
C. 23
D. 21
All the answer options are wrong.
Correct Answer: 36.66%
Q16. The sum of ages of two friends is 74. After one year the ratio of their ages will be 9:10.
What was the ratio of their ages nine years ago?
A. 4:3
B. 3:2
C. 13:12
D. 7:6
All the answer options are wrong.
Correct Answer: 13:15
Q17. The table below presents the data of atmospheric pressure (in area of mercury) at a place
at four different times of the day during four days P, Q, R, S. A steady rise in atmospheric
pressure indicates a fair weather. On which of the given days was the weather fair?
Time/Day | A | B | C | D |
0600 | 742 | 765 | 754 | 761 |
1000 | 778 | 767 | 755 | 770 |
1400 | 762 | 745 | 757 | 775 |
1800 | 760 | 756 | 758 | 774 |
2200 | 768 | 752 | 760 | 762 |
A. 324:283
B. 81:73
C. 326:293
D. 28:25
All the answer options are wrong.
Correct Answer: C
(Also please note that Days are marked as P, Q, R, S in the question but in the options it is given
as A, B, C, D)
Q18.In case of frequency distribution for ten continuous classes, the class width is 4 and the
lower class limit of the lowest class is 8. What is the upper-class limit for the highest class?
A. Both R&S
B. R Only
C. Neither R nor S
D. S only
All the answer options are wrong.
Correct Answer: 48
Q19. What is the simplified value of:
A. 4
B. 5
C. 6
D. 2
12 19
Answer: Option B
Q20. 10 men can complete work in 8 days and 10 women take 12 days to complete the same
work. How many days will 3 men and 6 women take to complete the same work?
Answer: Option A
Q21. A retailer purchases several pens of same cost for Rs.384 and then sells some of them for
Rs.114 at no loss or gain. What is the least possible number of pens that he will be left with?
A. 9
B. 7
C. 8
D. 3
All the answer options are wrong.
Correct answer: 45
Q22. The percentage marks scored by two students A and B at four consecutive monthly tests
are depicted in the Bar Graph given below. In which month is the percentage of marks scored by B
40% more than that by A?
