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1 How many right-angled triangles of integer sides are possible given that one of the sides is 15 cm long?a. 2b. 3c. 5d. 6
2 Let n be the number of different five-digit numbers, divisible by 4 with the digits 1, 2 , 3 , 4 , 5 and 6 . no digit being repeated in the numbers. What is the value of n?a. 144b. 168c. 192d. None
3 At his usual rowing rate , Rahul can tarevel 12 miles downstream in a certain river in 6hr less than it takes him to travel the same distance upstaream. But if he colud his usual rowing rate for this 24 miles round trip, the downstreams 12 miles would then take only 1 hr less than the upstream 12 miles. What is the speed of the current in miles per hour ?a. 7/3b. 4/3c. 5/3
4 The ratio of the common difference of two series in arithmetic progression is 4 : 9 . If the ratio of their sum of the first 25 terms of the series 4 : 9. what is the ratio of their 75th terms of the series ?a. 8:27b. 9:25c. 16:81d. None
5 At a certain fast food restaurant, Brian can buy 3 burgers , 7 shakes and one order of fries for Rs, 120 exactly . At the same place it would cost Rs. 164.5 for 4 burgers, 10 shakes, and one order of fries. How much would it cost for an ordinary meal of one burger, one shake, and one order of friesa. Rs. 31b. Rs. 41c. Rs. 21d. Cannot be determined
6 What is the remainder when 25 x (1331)2196 is divisible by 13?a. 11b. 1c. 12d. 0
7 ection for question 27 & 28
A mason employed a certain number of workers to finish constructing a wall in a certain scheduled time. Some time later he realized that the work would get delayed a by a fourth of the scheduled time, so he immediately increases the number of workers by a third and thus manages to finish the wall on schedule. Some time the work force was increased, all of the newly added workers left due to an issue regarding wages while at the same time the remaining workers reduced their efficiency by half as a mark of protest against low wages. If the work finally got completed with a delay of 50% of the scheduled time then
27.What fraction of the total work was still incomplete by the end of the scheduled time?a.22.5%b.25%c.20%d.16.66%
8 Find the percent of the work that was finished by the time the work force was increased??a.20%b. 25%c. 33%d. 37.5%
9 ection for question 29 & 30
Several runners, numbered 1, 2, 3.. And so on, start simultaneously at the same point on a circular track and run continuously, in the same direction, around the track. They run such that the speed of the runner numbered n (n>1) is n times that of the runner numbered
29. If there are exactly six runners, then at how many distinct points on the track is the runner numbered 1 overtaken by any of the other five runners?
by any of the other five runners?a. 15b. 11c. 9d. 10
10 If there are exactly for runners, then at how many distinct points on the track do two or more runners meet?a.3b.4c. 5d.6
11 How many numbers between 1 and 10,000 (both inclusive) will have the digit ‘0’?a. 4000b. 4003c. 3892d. 2620
12 rection for questions 2 to 5
Multiplication tables are put down, as follows.
i. There are 29 columns and 30 rows.
ii. The first column is the column for the multiplication of 2 , the first row being 1 x 2 and the thirteenth being 30x2 . The second row is the column for 3 , and so on . The 30th row of the 29th column hence contains 30 x 30.
A cell is denoted as Ci , j where I= 1 ,2 , 3 . . . 30 and j = 1, 2, . . . . 29
2. The value of C17, 12 is :a. 201b. 221c. 211d. 231
13 The same value appears exactly in 2 cells. One of the cells could bea. C24, 1b. C9, 15c. C23, 20d. C21, 9
14 WAll the perfect squares contained in the table can be represented by the cells:a. C I , j ; I = jb. C I , j ; I = I – 1c. C I , j ; J = I + 1d. C I , j ; J = I + 2
15 A Value appears in columns 1, 2 ,3 , 5 , 8 , 11 and 17. The value is:a. 48b. 72c. 36d. 144
16 A company has a job to prepare certain number and there are three machines A , B and C for this Job. A can complete the job in 3 days , B can complete the job in 4 days, and C can complete the job in 6 days. How many days will the company take to complete the job if all the machines are used simultaneously?a. 4 daysb. 4/3 daysc. 3 daysd. 12 days
17 A 37 digit number k is comprised of 37 nines. Find the sum of the digits of the number k2a. 666b. 648c. 324d. 333
18 A number when divided by a certain divisor leaves a remainder of 11 and three times the number is divided by the same divisor leaves a remainder of 9 then find the divisor when five times the number is divided by the same divisor.a. 11b. 9c. 7d. Cannot be determined
19 If the constants can group themselves into three teams of two contestants each and the minimum possible qualifying points that a team need to qualify is N , then find the maximum possible value of N in spite of which at least one team is bound to qualify.a.690b.700c.720d.540
20 An office employs thirty people. Five of them speak Sotho , Afrikkans and English. Nine Speak Sotho and English , twenty speak Afrikaans of which twelve also speak Sotho. Eighteen speak English. No one speaks only Sotho. How many speak only Englisha.5b.6c.7d.8
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