Aptitude
1) How many pair of x and y satisfy the equations 4x+6y=16 and 6x+9y=24?
a)0 b)1 c)infinite d)none of these
ANS:___________
2)The total monthly sales of two companies A and B are in the ratio 2:3 and their total monthly expenditure are in the ratio 3:4. Find the ratio of the profits of two companies given that company A's profit is eual to a fifth of its sales?
a)8:15 B)13:15 c)6:13 d)5:9
ANS:___________
3) If a,b and c are in continued proportion then which of the following equals c:a?
a)b^2:a^2 2)(c^2-b^2):(b^2-a^2) 3)c^2:b^2 4)All of these
ANS:___________
4) If the price of tea goes up by 10%, then what should be the percentage decrease in the quantity consumed so that the total expenditure on tea remains the same?
a)6% b) 7% c) 8.18% 4)9.99%
ANS:___________
5) Ajit buys a certain number of bananas at 8 for Rs.10 and an equal number at 10 for Rs.15. If he sells them at 15 for Rs.20, what is his loss percentage?
a)3.03% b)4.67% c)2% d)6%
ANS:___________
6) The commission paid to the working partner of a business is eual to 30% of the profit left after his comission is paid. If his comission is known to be Rs. 24000, then find the total profit?
a)Rs.72000 b)Rs.38000 c)Rs.104000 d)Rs. 36000
ANS:___________
7) A person invests Rs. 28200 in 10% stock at 94. He then sells it when it is quoting at 106. He then reinvests the money in 6% stock at 100 which he sells when the stock is quoting at 107. Find the overall profit of the transaction?
a)Rs.5826 b)Rs.4684 c)Rs.2856 d)Rs.4946
ANS:___________
8) Which of the statements is true about 31^n-1?
a)Always divisilbe by 32. b)divisible by 32 when n is odd
c)Never divisible by 30 d)Always divisible by 30.
ANS:___________
9) 11^103+14^103 is divisible by
a)45 b)35 c)25 d)75
ANS:___________
10) A and B leave at the same time, A travels North at 18 km/hr and B travels west at a speed of 24 km/hr. Find the distance between A ands B in km/hr after two hours?
a)30 b)45 c)60 d)55
ANS:___________
11) A swimming pool 150m long and 50m wide is 1m deep at the shallow end ande 6m deep at the deep end. Find the volume of the pool?
a)52500 b)26250 c) 46820 d)none
ANS:___________
12) A man can row 3/7th of a kilometre upstream in 36 minutes and return in 12 minutes. Find the speed of water current?
a)5/7 b)10/7 c)15/7 d)20/7
ANS:___________
13) Find the angle in degrees between the hands of the clock when the time is 4:40?
a)95 b)100 c) 105 d)110
ANS:___________
14) Fifteen men take 20 days to complete a job working 8 hours a day. How many hours a day should 20 men to complete the job in 12 days?
a)8 b)10 c)12 d) 15
ANS:___________
15) Three taps A,B and C together can fill an emnpty tank in 4 hours. After 1 hour, C is closed and the tank is filled in 6 more hours. Find the time in which C alone can fill the empty tank?
a)6 b)7 c)8 d)9
ANS:___________
16) There is a 60 litre solution of milk and water in which milk forms 84%. How much water in liters must be added to this solution to make it a solution in which milk forms 64%?
a)22 b)12.65 c)15.36 d)18.75
ANS:___________
17) Sanjay borrowed Rs.14000 at 10% p.a. He repaid Rs.8000 at the end of the 1st year. What amount should he pay at the end of the 2nd year to completely discharge the loan, compound interest being reckoned anually?
a) Rs.8140 b)Rs.7650 c)Rs.8360 d) Rs.7990
ANS:___________
18) In a game of 80 points, A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60?
a)4 b)6 c)8 d)10
ANS:___________
19) Pure Ghee costs Rs. 100 per Kg. After diluting it with vegetable oil costing Rs. 50 per kg, a shopkeeper sells the mixture ratio of Rs. 96 per Kg, thereby making a profit of 20%. In what ratio does he mix the two?
a)1:4 b)3:2 c)2:3 d)4:1
ANS:___________
20) When a producer allows 36% comission on the retail price of his product, he earns a profit of 8.8%. Ehat would be his profit percent if the comission is reduced by 24%?
a)33.33 b)66.66 c)45 d)49.6
ANS:___________
21) The first republic day of India was celebrated on 26th january,1950. It was
a)Tuesday b)wednesday c)Thursday d)Friday
ANS:___________
22) The last day of a centuary cannot be
a)Monday b)Wednesday c)Friday d) Tuesday
ANS:___________
23) A bill falls due in 1 year. The creditor agress to accept immediate payment of the half and to defer the payment of the other half for 2 years. By this arrangement he gains Rs. 40. What is the amount of the bil, if the money be worth is 25/2%?
a) Rs.3600 b)Rs. 4500 c)Rs.5400 d)Rs. 6300
ANS:___________
24) The banker's gain on a certain sum due 3/2 years hence is 3/25of the banker's discount. The rate percent is:
a) 26/5% b)90/9% c)65/9% d) 37/6%
ANS:___________
25) Find the odd one out of the series
1,3,10,21,64,129,356,777
a)10 b)21 c)64 d)356
ANS:___________
26) A garrison of 500 men had provisons for 27 days. After 3 days a reinforcement of 300 men arrived. For how many more days will the remaining food last now?
a)15 b)16 c)35/2 d)18
ANS:___________
27) Rajan got married 8 years ago. His present age is 6/5times his age at the time of his marriage. Rajan sister was 10 years younger to him at the time of his marriage. The ago of Rajan's sister is:
a)32 years b)36 years c)38 years d)40 years
ANS:___________
28) Manvick recieved Rs.6000 as his share out of the total profit of Rs. 9000 which he and Raunaq earned at the end of one year. If Manick invested his amount for the whole year, What was the amount invested by Raunaq?
a)Rs.4000 b)Rs.5000 c)Rs.6000 d)Rs. 10000
ANS:___________
29) Find the least possible number which leaves remainders of 8,16 and 7 when divided by 19, 17 and 8 repectively.
a)319 b)315 c)415 d)407
ANS:___________
30) The fourth and the fifth term of a series s, are 18 and 36 reepectively. S1 is the series formed by taking the differences of adjacent terms of s and s2 is the series formed by taking the difference s of adjacent terms of s1. Each term in S is greater than its previous term and the same is the case for the terms in s1. If each term of s2 is 4, What is the eight term of the series?
a)100 b)108 c)112 d)114
ANS:___________
31)What is the remainder when 3^1000 is divided by 91?
a)3 b)9 c)27 d)81
ANS:___________
32) Find the area of the region bounded by the graph |x-7|+|y-9|=12?
a)288 b) 200 c)100 d)144
ANS:___________
33)The number 27x47y2 is divisible by 72 where x and y are single digit natural numbers. If p=x+y how many possibles values can p aasume
a)2 b)1 c)3 d)4
ANS:___________
34) A trinagular sheet of side 8cm, 6cm and 10cm is rotated along the six centimer side. Find volume (in cc) of the solid formed.
a) 192*(pi) b)104*(pi) c)128*(pi) d)108*(pi)
ANS:___________
35) A circle of radius 3 cm is inscribed in a triangle. If one of the exterior angles of the triangle is 120 and the altitude drawn from one of the vertices is the bisector of the internal angle at that vertex. Find the perimeter (in cm) of the triangle. [root() indicates square root]
a) 18*root(3) b)27*root(3) c)18 d) cannot be determined
ANS:___________
36) How many non-negative roots does the equation 3^y-(2y+1)=0 have?
a) 0 b) 1 c) 2 d) 3
ANS:___________
37) Find the reflection of the point (7,11 ) about the line x+y=0
a)(-11,-7) b) (11,-7) c)(-7,-11) d) none
ANS:___________
38) A coin is biased such that heads occurs as frequenlty as tails. Another coin is biased such that heads occurs 65% of the times. When the two coins are tossed simultaneously what is the probability of btleast one tail turning up.
a) 35% b)87% c)48% d)73%
ANS:___________
39) A four digit number is such that the number 56 is the part of the number. If the number formed by the digits, if any, to the left of 56 is always less than 56, how many such four digit number sare possible.
a)236 b)189 c)216 d)235
ANS:___________
40) In a box there are 90 slips numbered from 1 to 90. Ramu picks up 4 slips at random one after the other without replacement. What is the probability that the numbers on the slips, in the order he picks them up, are in ascending order
a)1/6 b)1/12 c)1/24 d)2/45
ANS:___________
41) Fourteen boys went to collect berries and returned with a total of 80 berries amoung themselves . If every boy collected atleast one berry each, then what is the minimum number of pairs of boys that must have collected the same number of berries.
a)0 b)1 c)2 d)3
ANS:___________
42) What is the least possible value of the expression (x-1)(x-3)(x-4)(x-6)+10, for real values of x
a)1 b)10 c)9 d)10
ANS:___________
43) The people of Koho, an island in the Indian Ocean play a game similar to chess, but on a board that has 8x12 squares instead of 8x8 squares. Find total number of squares of all possible sizes taht are there on the board
a)312 b)298 c)276 d)348
ANS:___________
44) N is an 8 digit number and s(N) denotes the sum of its digits. If N+s(N)=100000000, find the tens digit of N.
a)6 b)4 c)2 d)8
ANS:___________
45) There are 12 distinct balls to be divided into 3 boxes labelled B1, B2 and B3 such that each box contains 4 balls. In how many ways can this be done?
a)12!/((3!)^4) b)12!/(((3!)^4)*4!) c)12!/(((4!)^3)*3!) d)12!/((4!)^3)
ANS:___________
Answers:
3
3
4
4
1
3
1
4
3
3
2
1
2
2
3
4
1
3
2
4
3
4
1
2
4
1
3
2
4
4
4
1
1
3
1
3
1
3
4
3
4
1
4
2
4
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