Average
1. The average weight of 3 person P, Q, R is 84 kg. Another person who is S joins the group and now the present average of the group becomes 80 kg. If another person T, whose weight is 3 kg more than that of S, replaces P then the average weight of Q, R, S, and T becomes 78 kg. Find the weight of P.

A. 70 kg B. 72 kg C. 79 kg D. 78 kg

Answer: Option (C)
2. Three years ago, the average of A, B, and C was 27 years and that of B and C 5 years ago was 20 years. A’s present age is

A. 35 years B. 30 years C. 40 years D. 48 years

Answer: Option (C)
3. The average age of a family of 6 members is 22 years. If the age of the youngest member be 7 years, what was the average age of the family at the birth of the youngest member?

A. 15 B. 12 C. 18 D. 21

Answer: Option (C)
4. The average of ten numbers is 7. If each number is multiplied by 12, then the average of the remaining numbers will be

A. 7 B. 84 C. 9 D. 87

Answer: Option (B)
5. Average marks obtained by Raju in 3 papers is 52 and in the fourth paper, he scored 60 marks. Find the new average of marks scored by Raju.

A. 55 B. 54 C. 52 D. 53.5

Answer: Option (B)
Data Interpretation
Directions(1-5): study the following table and answer the questions given below it.
Production of sugar by six major production units of India in Million Tonnes:

1. In which month unit B has a contribution of approximately 15% in the total sugar production?

A. August B. June C. July D. April

Answer: Option (C)
2. Which of the following units shows continuous increase in production of sugar over months?

A. A B. B C. C D. D

Answer: Option (A)
3. In the case of Unit E, in which of the following pairs of months the production of sugar was equal?

A. April & June B. June & July C. July & August D. April & May

Answer: Option (D)
4. In the month of June, how many units have a share of more than 25% of the total production of sugar?

A. one B. Three C. Two D. Four

Answer: Option (A)
5. What was approximate percentage decrease in sugar production of unit B in June as compared to April?

A. 8 % B. 10 % C. 15 % D. 18 %

Answer: Option (B)
Decimal and Fractions
1. When .36 is written in simplest fractions form, the sum of the numerator and the denominator is:

A. 15 B. 30 C. 45 D. 60

Answer: Option (A)
2. Which of the following fractions is the smallest?

A. 14/16 B. 15/19 C. 16/21 D. 17/23

Answer: Option (B)
3. Which of the following fractions is less than 7/8 and greater 1/3?

A. 2/4 B. 25/29 C. 9/10 D. 17/24

Answer: Option (D)
4. 337.62 + 8.591 + 34.4 = ?

A. 371.722 B. 391.622 C. 380.611 D. 463.94

Answer: Option (C)
5. 34.95 + 240.016 + 23.98 = ?

A. 298.1057 B. 298.222 C. 298.946 D. 299.09

Answer: Option (C)
HCF & LCM
1. What is the L.C.M. of 25, 30, 35 and 40 ?

A. 3800 B. 4200 C. 4400 D. 3200 E. None of these

Answer: Option (B)
2. What is the greatest number which divides 639, 1065 and 1491 exactly?

A. 193 B. 183 C. 223 D. 213 E. 233

Answer: Option (D)
3. What is the H.C.F. of 4/9, 10/21 and 20/63 ?

A. 4/189 B. 6/63 C. 2/63 D. 20/21 E. None of these

Answer: Option (C)
4. The H.C.F. of two numbers is 12 and their difference is 12. Which of the following can be the numbers?

A. 66, 77 B. 70, 84 C. 94, 108 D. 84, 96 E. 66, 106

Answer: Option (D)
5. The HCF of two numbers is 29 & their sum is 174. The possible numbers are

A. 1,174 B. 74,100 C. 29, 154 D. 29, 145 E. None of these

Answer: Option (D)
Mixtures and Allegations
1. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg? [RRB 2003]

A. 3: 7 B. 5: 7 C. 7: 3 D. 7: 5 E. None of these

Answer: Option (C)
2. Find the ratio in which rice sold at Rs. 7.20 a kg must be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg. [IGNOU, 2008]

A. 1: 3 B. 2: 3 C. 3: 4 D. 4: 5 E. None of these

Answer: Option (B)
3. In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg?

A. 3 : 1 B. 3: 2 C. 4: 3 D. 5: 3 E. None of these

Answer: Option (A)
4. In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

A. 1: 2 B. 2: 1 C. 2: 3 D. 3: 2 E. None of these

Answer: Option (A)
5. The cost of Type I rice is Rs. 15 per kg and Type 2 rice is Rs 20 per kg. If both Type 1 and Type 2 are mixed in the ratio 2: 3, then the price per kg of the mixed variety of rice is: Rs [MBA 2002]

A. 18 B. 18.50 C. 19 D. 19.50 E. None of these

Answer: Option (A)
Number System
1. Which of the following smallest number should be added to 163429 to make it exactly by 3?

A. 2 B. 4 C. 5 D. 7 E. None of these

Answer: Option (A)
2. Find the least number of boys so that they can be arranged in the groups of 18,24 and 30.

A. 210 B. 240 C. 320 D. 360 E. None of these

Answer: Option (D)
3. Find the greatest number which divides 327, 545 and 763 exactly.

A. 107 B. 108 C. 109 D. 118 E. None of these

Answer: Option (C)
4. 2/3 of 3/7 of 6/11 of a number is 144. What is the number?

A. 620 B. 734 C. 862 D. 924 E. None of these

Answer: Option (D)
5. When 1/9 of a number is subtracted from the number itself, it gives the same value as the sum of all the angles of a quadrilateral. What is the number?

A. 205 B. 315 C. 405 D. 510 E. None of these

Answer: Option (C)
Percentages
1. If 20% of a = b, then b% of 20 is the same as:

A. 4% of a B. 5% of a C. 20% of a D. None of these

Answer: Option (A)
2. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?

A. 72 B. 80 C. 120 D. 150 E. 100

Answer: Option (E)
3. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

A. 2 : 3 B. 1 : 1 C. 3 : 4 D. 4 : 3

Answer: Option (D)
4. A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?

A. 34% B. 44% C. 54% D. 64%

Answer: Option (D)
5. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

A. 2700 B. 2900 C. 3000 D. 3100

Answer: Option (A)

Problems on Ages
1. Father is four times the age of his daughter. If after 5 years, he would be threee times of daughter’s age, then further after 5 years, how many times he would be of his daughter’s age?

A. 1.5 times B. 2 times C. 2.5 times D. 3 times

Answer: Option (C)
2. What is Aman's present age, if after 20 years his age will be 10 times his age 10 years back?

A. 6.2 years B. 7.7 years C. 13.3 years D. 10 years

Answer: Option (C)
3. Nisha is 15 years elder to Romi. If 5 years ago, Nisha was 3 times as old as Romi, then find Nisha’s present age.

A. 32.5 years B. 27.5 years C. 25 years D. 24.9 years

Answer: Option (B)
4. One year ago, the ratio of Honey and Piyush ages was 2 : 3 respectively. After five years from now, this ratio becomes 4 : 5. How old is Piyush now?

A. 5 years B. 25 years C. 10 years D. 15 years

Answer: Option (C)
5. Ten years ago, the age of mother was three times the age of her son. After ten years, mother’s age will be twice that of his son. Find the ratio of their present ages.

A. 11 : 7 B. 9 : 5 C. 7 : 4 D. 7 : 3

Answer: Option (D)
Profit and Loss
1. By selling 45 lemons for Rs 40, a man loses 20%. How many should he sell for Rs 24 to gain 20% in the transaction?

A. 16 B. 18 C. 20 D. 22

Answer: Option (B)
2. A trader mixes 26 kg of rice at Rs 20 per kg with 30 kg of rice of other variety at Rs 36 per kg and sells the mixture at Rs 30 per kg. His profit percent is: [Bank PO 2003]

A. No profit no loss B. 5% C. 8% D. 10%

Answer: Option (B)
3. Arun purchased 30 kg of wheat at the rate of Rs 11.50 per kg and 20 kg of wheat at the rate of Rs 14.25 per kg. he mixed the two and sold the mixture. Approximately what price per kg should he sell the mixture to make 30% profit? [Bank PO 1999]

A. Rs 14.80 B. Rs 15.40 C. Rs 15.60 D. Rs 16.30

Answer: Option (D)
4. Padam purchased 30 kg of rice at the rate of Rs 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot of another 30 kg rice? [Bank PO 2000]

A. Rs 12.50 B. Rs 13.50 C. Rs 15.50 D. None of these

Answer: Option (B)
5. A trader mixes three varieties of groundnuts costing Rs 50, Rs 20 and Rs 30 per kg in the ratio 2: 4 : 3 in terms of weight, and sells the mixture at Rs 33 per kg. What percentage of profit does he make? [Hotel Management. 1998]

A. 8% B. 9% C. 10% D. None of these

Answer: Option (C)
Ratios and Proportions
Directions(1-5): In this section, the questions asked are the basic ratio and proportion questions that can be asked in the exam.
1. Divide Rs. 1870 in three parts such that half of the first part, one-third of the second part and one-sixth of the third part are equal.

A. 270, 840, 1160 B. 341, 243, 245 C. 400, 800, 670 D. None of the above

Answer: Option (D)
2. A and B are the two alloys of copper and brass prepared by mixing metals in the proportion of 7:2 and 7:11 respectively. If the equal quantities of two alloys are melted to form a third alloy called C, then the proportion of copper and brass in C will be,

A. 5:9 B. 5:7 C. 7:5 D. 9:5

Answer: Option (C)
3. The incomes of X and Y are in the ratio of 3:2 and their expenditures are in the ratio of 5:3. If each of them saves Rs. 1000, then, A’s income can be,

A. Rs. 3000 B. Rs. 4000 C. Rs. 9000 D. Rs. 6000

Answer: Option (D)
4. The students in three batches in school is in the ratio of 2:3:5. If 20 students in each batch are increased than the ratio changes to 4:5:7. The total number of students in the three before the increase was,

A. 100 B. 10 C. 90 D. 150

Answer: Option (A)
5. Divide the amount of Rs. 500 between P, Q, R, and S such that P and Q together get the thrice as much as R and S together. Q gets four times of what R geta and R gets 1.5 times as much as S. Now the value that Q gets will be

A. 75 B. 125 C. 150 D. 300

Answer: Option (D)
Simple Interest and Compound Interest
1. Find the simple interest on Rs. 68,000 at 16(2/3)% per annum for a period of 9 months?

A. Rs. 8500 B. Rs. 3200 C. Rs. 2100 D. Rs. 4300

Answer: Option (A)
2. Khan borrows some money at the rate of 6% p.a. for the first two years. He borrows the money at the rate of 9% p.a. for the next three years, and at the rate of 14% per annum for the period beyond five years. If he pays a total interest of Rs. 11400 at the end of nine years, how much money did he borrow?

A. Rs. 12000 B. Rs. 21000 C. Rs. 37000 D. Rs. 63000

Answer: Option (A)
3. The simple interest on a certain sum of money for 2(1/2) years at 12% per annum is Rs. 40 less than the simple interest on the same sum for 3(1/2) years at 10% per annum. Find the sum.

A. Rs. 600 B. Rs. 666 C. Rs. 780 D. Rs. 800

Answer: Option (D)
4. A man took a loan from a bank at the rate of 12 % p.a. simple interest. After three years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

A. Rs. 12000 B. Rs. 11000 C. Rs. 14000 D. Rs. 15000

Answer: Option (D)
5. Khan invests a certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest that accumulates in one year was Rs. 3200 and the amount he invests in scheme C was 150% of the amount he invests in Scheme A and 240% of the amount he invests in Scheme B, what was the amount he invests in scheme B?

A. Rs. 4000 B. Rs. 5000 C. Rs. 6000 D. Rs. 7000

Answer: Option (B)
Simplification
1. Income of a company doubles after every one year. If the initial income was Rs.4 Lakhs, what would be the income after 5 years?

A. Rs. 1.24 crores B. Rs. 1.28 crores C. Rs. 2.56 crores D. Rs. None of these

Answer: Option (B)
2. A light was seen at intervals of 13 seconds. It was seen for the first time at 1 hr. 54 min 50 secs. a.m. and the last time at 3 hrs. 17 min. 49 secs. a.m. How many times was the light seen?

A. 360 B. 375 C. 378 D. 384

Answer: Option (D)
3. If 3x- 5y= 5 and , then what is the value of x-y?

A. 3 B. 4 C. 6 D. 9

Answer: Option (A)
4. The total monthly salary of 4 men and 2 women is Rs. 46,000. If a woman earns Rs. 500 more than a man, what is the monthly salary of a woman?

A. Rs. 6500 B. Rs. 7500 C. Rs. 8000 D. Rs. 9000

Answer: Option (C)
5. David got two and a half time as many marks in English as in History. If his total marks in the two subjects are 140, the marks obtained by him in English are:

A. 40 B. 75 C. 90 D. 100

Answer: Option (D)
Time and Distance
1. A man covers a certain distance at 36 km/ph. How many meters does he cover in 2 minutes?

A. 1000 mt B. 120 mt C. 1200 mt D. 600 mt

Answer: Option (C)
2. Walking 5/6 of its usual speed, a train is 10 minutes late. Find its usual time to cover the journey?

A. 20 min B. 50 min C. 60 min D. 40 min

Answer: Option (B)
3. If a man running at 15 km/ph crosses a bridge in 5 min., then length of the bridge is _____.

A) 1333.33 mt B) 1000 mt C) 7500 mt D) 1250 mt

Answer: Option (D)
4. If one student walk from his house to school at 5 km/ph, he late by 30 minutes. However, if he walks at 6 km/ph, he is late by 5 minutes only. The distance of his school from his house is _______.

A. 2.5 km B. 3.6 km C. 5.5 km D. 12.5 km

Answer: Option (D)
5. A car travels a distance of 715 km at a uniform speed. If the speed of the car is 10 km/ph more, it takes 2 hours less to cover the same distance. The original speed was _______.

A. 45 km/ph B. 55 km/ph C. 60 km/ph D. 65 km/ph

Answer: Option (B)
Time and Work
1. In the beginning, Ram works at a rate such that he can finish a piece of work in 24 hrs, but he only works at this rate for 16 hrs. After that, he works at a rate such that he can do the whole work in 18 hrs. If Ram is to finish this work at a stretch, how many hours will he take to finish this work?

A. 12 hrs B. 18 hrs C. 11½ hrs D. 15 hrs E. 22 hrs

Answer: Option (E)
2. A can do a piece of work in 10 days, and B can do the same work in 20 days. With the help of C, they finished the work in 4 days. C can do the work in how many days, working alone?

A. 5 days B. 10 days C. 15 days D. 20 days E. 25 days

Answer: Option (A)
3. A can do a piece of work in 12 days. B can do this work in 16 days. A started the work alone. After how many days should B join him, so that the work is finished in 9 days?

A. 2 days B. 3 days C. 4 days D. 5 days E. 1 days

Answer: Option (D)
4. A and B can do a piece of work in 4 days, while C and D can do the same work in 12 days. In how many days will A, B, C and D do it together?

A. 12 days B. 4 days C. 3 days D. 2 days E. None of these

Answer: Option (C)
5. A and B can do a piece of work in 40 days, B and C can do it in 120 days. If B alone can do it in 180 days, in how many days will A and C do it together?

A. 45 days B. 22.5 days C. 25 days D. 18 days E. 12 days

Answer: Option (A)