1. Seven persons A, B, C, D, E, F and G are sitting in a straight line facing north. A is seated second from the left. Only two persons are seated between A and C. Only three persons are seated between D and F, and D is immediate next to A. B is immediate next to D, and E is not immediate next to C. How many persons are seated between A and G?
2. Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term?
18 : 45 : : ? : 60 : : 30 : 75
3. Which of the following letter-cluster will come in place of question mark (?) in the given series?
4. Three statements are followed by three conclusions. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows from the statements.
Statements :
All beds are tables.
All cots are tables.
All tables are taps.
Conclusions :
I. All cots are taps.
II. Some taps are tables.
III. Some beds are cots.
5. In a certain code language, 'DEVOUR' is written as 'WGEQFT ' and 'VARIED' is written as ' ECIKVF'. How will 'BLANKET' be written in the same code language?
6. If '-' means division, '+' means multiplication, '\(\times\)' means addition and \(\div\) means 'subtraction', then which of the following equations is correct?
7. Which option gives the following words in the order in which they appear in the English dictionary?
1 pilot
2 pivot
3 pipette
4 pigeon
5 pigment
8. Select the option that is related to the third term in the same way as the second term is related to the first term.
MEMBRANE : LDLAQZMD : : PRIVILEGE : ?
9. Six students are seated around a circular table facing the centre of the table. F is immediate next to A. D is seated second to the right of E. B is immediate next to E and second to the right of C. F is seated second to the right of D. A is not immediate next to E. Who is seated between E and A when seen from the right of A?
10. Looking at a photograph, Maria said, "She is the only daughter of my mother's mother." How is Maria related to the person shown in the photograph?
11. Which of the following numbers will come in place of question mark (?) in the given series?
12. Which group of letters will come in place of the question mark (?) in the given series and complete the series?
CPFG, ENHE, ?, IJLA, KHNY
13. Which of the following numbers will come in place of question mark (?) in the given series?
14. Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster, and the fourth letter-cluster is related to the third letter-cluster.
ACBO : PCDB :: JLKM : NLMK :: KJIH : ?
15. Select the correct mirror image of the given figure when the mirror is placed at as shown below?
16. In a code language 'dark colours' is coded as ' yu nu', 'days are bright' is coded as 'wu tu ku', 'nights are dark' is coded as 'ku nu pu', 'paint bright' is coded as 'wu ru'. What will be the code for the word 'days'?
17. Select the figure from the given options that can replace the question mark (?) in the following series.
18. Which two signs should be interchanged to make the equation given below mathematically correct?
\(54 + 18\div 9 - 36\times 16 = 88\)
19. Which group of letters will come in place of the question mark (?) in the given series and complete the series?
JLNP, ? , LNPR, MOQS, NPRT
20. Three statements are given below followed by three conclusions I, II and III. Assuming the given statements to be true even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows from the statements.
Statements:
All apples are bananas.
All grapes are bananas.
All bananas are plums.
Conclusions:
I. All apples are plums.
II. All grapes are plums.
III. Some grapes are bananas.
21. In which option the following words are given in the order in which they appear in the English dictionary?
1 green
2 grate
3 greet
4 groom
5 great
22. Which two numbers (not digits) given in the options should be interchanged to balance the given equation?
77\(\div\) 7 - 2 \(\times\) 3 + 3 = 4
23. Kirti, Suman, Shubh, Kanak, Pari, Charu, Shlok and Shivi are sitting around a square table facing the centre of the table. Some of them are sitting at the corners while some are sitting exactly in the middle of the sides. Kirti is sitting third to the left of Shubh. Kirti is sitting at one of the corners. Kanak is sitting second to the right of Pari. Pari is not sitting at any corner. Pari is not sitting exactly next to Kirti. Suman is sitting exactly next to Charu. Suman is not sitting exactly in the middle of any side. Only three people sit between Suman and Shlok.
Who is sitting second to the right of Shivi?
24. Select the option that is related to the third word in the same way as the second word is related to the first word. (The words are to be considered as meaningful words, and they are not to be related to each other on the basis of number of letters/consonants/vowels in the word.)
25. In a certain code language, 'TEA' is written as '23' and 'SKY' is written as '52'. How will 'JAM' be written in the same language?
26. Three different positions of the same dice are shown. Find the number on the face opposite to the face showing '6'.
27. If '+' means '-', '-' means '\(\times\)','\(\times\)' means '\(\div\)' and '\(\div\)' means '+' then which of the following equations will be correct?
28. Select the option that is related to the third word in the same way as the second word is related to the first word. (Words are to be considered as meaningful words and not related to each other on the basis of number of letters/consonants/vowels in the word?)
Frog : Tadpole :: Insect : ?
29. In a certain code language, 'SQUARE' is written as 'UQSERA' and 'CIRCLE' is written as 'RICELC', how will 'EQUATE' be written in the same language?
30. Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
53 : 7 : : 77 : 10 : : 69 : ?
31. L, M, N, O, P, Q, and R are seated in a row facing east. O is seated immediate right of N. Q is seated at one of the ends of the row and P is seated immediate right of him. L is seated between M and N. Who is seated at the right end of the row?
32. Which of the following numbers will come in place of question mark (?) in the given series?
400, 410, 425, 450, 490, ?
33.
'P & Q' means 'P is the sister of Q'
'P % Q' means 'P is the brother of Q'
'P # Q' means 'P is the mother of Q'
'P = Q' means 'P is the father of Q'
A $ B = C & D
How is C related to A?
34. Which of the following numbers will come in place of question mark (?) in the given series?
133, 156, ?, 202, 225, 248
35. Select the letter-cluster from the given options that can replace the question mark (?) in the following series.
36. Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number?
31 : 14 : : 23 : 10 : : 39 : ?
37. Six students are sitting around a circular table facing the center of the table. Ken is seated immediate right of Joe. Joe is seated third to the left of Ben. Kate is seated immediate right of Ben. Jane is seated immediate next to Ben and Ken. Who among the following is seated immediate next to Ken and Mel?
38. Which of the following numbers will come in place of question mark (?) in the given series?
89, 214, ?, 773, 1285, 2014
39.
A @ B means 'A is the husband of B'.
A & B means 'A is the daughter of B'.
A # B means 'A is the father of B'.
A % B means 'is the sibling of'.
If H @ K % M # P & S, then how is S related to K?
40. Choose the option that is related to the third word in the same way as the second word is related to the first word. (The words should be considered as meaningful English words and should not be related to each other based on the number of letters/consonants/vowels in the word.)
Doctor : Hospital :: Engineer : ?
41. In a 1000 m race, John beats Khan by 120m. If John's speed is 40km/h then what will be Khan's speed?
42. The population of a country in 2010 was 256080000. By 2020 the population had increased by 10 percent. The population in 2020 is:
43. The marked price of a mobile phone is Rs 16,500. A festival discount of 8% is offered on it. In addition, a second discount of 5% is offered for cash payment. What is the cash payment, in rupees, made to purchase the mobile phone?
44. The price of a car is increased successively by 5%, 10%, and 20%. What is the equivalent change in price?
45. A woman travels a certain distance by car at a speed of 75 km/h and immediately returns to the starting point by the same car at a speed of 100. What is the average speed of the car?
46. A can repair 11 benches in an hour and B can repair 5 benches in an hour. When they work together, determine how long it will take them to repair 64 benches?
47. Akash can do a piece of work in 21 days and Diya can do the same work in 63 days. Find the time taken to complete the same work if they work on alternate days (turn by turn), and Akash starts the work.
48. In a journey Kiran travelled by bike for 3 hours at a speed of 50 mph. Apart from this he travelled by car for 2 hours at a speed of 65 mph. He stopped for 2 hours to rest. After rest he travelled by bike for 4 hours at a speed of 80 mph to reach his destination. Find the average speed of Kiran in the whole journey (in mph) (rounded off to two decimal places).
49. A trader gives two successive discounts of 18% and 20%. If the marked price is Rs 11,000, the selling price is ________.
50. A grocer sells rice at a profit of 15% and uses 20% less weight than the market weight. The total profit earned by him will be __________.
51. If the third proportional of 8 and 24 is 'A' and the mean proportional of 4 and 16 is 'B', then the value of \(\frac{A}{B}\) is ______.
52. Find the third proportional to 0.1 and 0.12.
53. A river is flowing at a speed of 2 kmph. A boat goes 40 km upstream and returns from B to A in a total of 10 hours. Find the speed of the boat in still water.
54. If \(3\frac13\div6\frac37\times1\frac12\times3\frac17 =(p)^\frac{1}{2}\), then what is the value of 'p'?
55. If the rate of interest is 16% per annum for the first year, 20% per annum for the second year and 15% per annum for the third year, then find the compound interest on Rs. 15,000 for three years.
56. Find the least common multiple of the largest 2-digit number divisible by 12 and the smallest 2-digit number divisible by 8.
57. A shopkeeper cheats his customer in two ways. He adds 20% water to pure honey and increases the price of honey by 15%. He pays Rs. 30/kg for 40 kg of pure honey. What is the total profit he makes by selling it?
58. The current population of a village is 50,000. Due to migration to cities, the population decreases at the rate of 5% per year. Find the population of the village after 2 years.
59. A person covered a distance of 8 km at a speed of 4km/h, a distance of 12 km at a speed of 3km/h and a distance of 18 km at a speed of 2km/h. What is his average speed in the total journey? (rounded off to two decimal places).
60. All sixty students of a class appeared in a mathematics exam. 25 students scored an average of 96 marks. The remaining students scored an average of 84 marks. The average marks of the entire class are ________________.
61. Two trains 124 m and 116 m long are moving towards each other at speeds of 28 km/h and 44 km/h respectively. How much time will they take to cross each other after meeting?
62. Ravi has a cake which is in the shape of a sphere of radius 6 cm. Then he dipped it in chocolate and put it in the freezer. After some time he observed that the chocolate formed a 2 cm thick layer on the cake. What is the percentage change in the surface area of the cake after dipping it in chocolate?
63. Lata buys two fans for Rs. 2,160. Selling one fan at a profit of 15% and the other at a loss of 9%, she neither gains nor loses in the entire transaction. Find the purchase price of each fan.
64. Some items are bought for Rs. 4,500. If one third of the items are sold at a loss of 15%, then at what profit percent should the remaining items be sold so that a profit of 20% is made on the whole transaction?
65. Find the value of the following expression.
\(95 - [144\div 12\: of \:12 - (-4) - {\{3 -17 -10}\}]\)
66. How much (in Rs) will the principal of Rs 1 lakh grow to in 3 years at 10 percent annual compound interest rate? (Interest is compounded annually).
67. Two trains, one 185 m long and the other 175 m long, are running on parallel tracks in opposite directions, the speed of the first and the second being 80 km/h and 64 km/h respectively. How much time will they take to cross each other?
68. A and B together can do a piece of work in 24 days. A is twice as efficient as B. In how many days can B alone complete the work?
69. M and N together can complete a work in 18 days, N and P in 26 days, and M and P in 14 days. Find the approximate number of days in which all of them working together can complete the work.
70. Find the least common multiple of the smallest 3-digit number divisible by 17 and the largest 2-digit number divisible by 34.
71. If H saves \(\frac13\) of his income and spends Rs 15,600 per month, then calculate his savings per month in Rs.
72. Jai has Rs 500 in his bank account. He first increased his balance by 20% and then by 25%. Find the percentage increase in the balance compared to the initial balance.
73. If 20% of the first number is equal to \(\frac13\) of the second number, then the ratio of the second number to the first number will be:
74. A single discount which is equivalent to three successive discounts of 20%, 22% and 25% is _______________.
75. The marked price of a woolen jacket is Rs. 800. The shopkeeper gives a discount of 10% on each item. Due to off season, the shopkeeper gives an additional discount of 5%. Find the selling price of the jacket.
76. If the price of petrol increases from Rs.95/litre to Rs.110/litre, by what percent Ravi should reduce his petrol consumption so that his expenditure remains the same? (Answer correct up to two decimal places).
77. The largest number that can exactly divide 1560 and 2040 is X. What is the value of 121 - X ?
78. The present population of a city is estimated at 10 lakh and is expected to increase to 12.10 lakh during the next 2 years. What is the uniform annual rate of increase?
79. M, N and O can do a work in 22, 24 and 16 days respectively if they work on different days in turns like M works on first day, N works on second day, O works on third day and then M works on fourth day and so on, then in approximately how many days will the work be completed?
80. The average marks obtained by Mahesh in five subjects is 62 and he gets 71 marks in the sixth subject. What is the average of marks obtained by Mahesh in all six subjects?