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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

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=60cm^{2}

#### 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 = = 60cm^{2}

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

#### 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

#### 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

#### 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

#### 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 = 2rh

2rh = 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

#### 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

#### What is the value of ?

#### 0.5

#### 5

#### 0.2

#### 2

Answer

#### Option = ⅕= 0.2

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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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: O**ption 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?