Quant Quiz

Directions (1-5): What should come in place ofquestion mark(?) in the followingnumber series?

1. 1200 480 192 76.8 30.72 12.288 ?(1) 4.9152 (2) 5.8192 (3) 6.7112 (4) 7.6132 (5) 8.5172

2. 963 927 855 747 603 423 ?(1) 209 (2) 208 (3) 207 (4) 206 (5) 205

3. 841 961 1089 1225 1369 1521 ?(1) 1581 (2) 1681 (3) 1781 (4) 1881 (5) 1981

4. 18 20 44 138 560 2810 ?(1) 16818 (2) 16836 (3) 16890 (4) 16872 (5) 16890

5. 6 26 134 666 3334 16666 ?(1) 84334 (2) 83334 (3) 83434(4) 83443 (5) None of these

6 There are two sections A and B of a class, consisting of 36 and 44students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.(1) 38 kg (2) 38.30 kg (3) 37.25 kg (4) 36 kg (5) 37 kg.

7. The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly:(1) 30 (2) 28.68 (3) 29.68 (4) 30.68 (5) 31.68

8. If each of the three non-zero numbers a , b , and c is divisible by 3, then abc must be divisible by which one of the following the numbers?(1) 8 (2) 81 (3) 27 (4) 122 (5) None of these9.if (p/q)-(q/p)=21/10then what ia the value of(4p/q)+(4q/p)options:1. 58/52. 59/53.121/105

10. A tank has a leak, which would empty it in 8 hours. A tap is turned on which fills at the rate of 4 liters per minute and the tank is now emptied in 12 hours. Find the capacity of the tank.a) 5670 litb) 5760 litc) 6570 litd) 6750 lit

1. (1)1200 2.5 = 480480 2.5 = 192192 2.5 = 76.876.8 2.5 = 30.7230.72 2.5 = 12.288 ? = 12.288 2.5 = 4.9152

2. (3)963 1 x 36 = 963 36 = 927927 - 2 x 36 = 927 72 = 855855 3 x 36 = 855 108 = 747747 4 x 36 = 747 144 = 603603 5 x 36 = 603 180 = 423 ? = 423 6 x 36 = 423 216= 207

3. (2)29 x 29 = 84131 x 31 = 96133 x 33 = 108935 x 35 = 122537 x 37 = 136939 x 39 = 1521 ? = 41 x 41 = 1681

4. (4)18 x 1 + 2 = 18 + 2 = 2020 x 2 + 4 = 40 + 4 = 4444 x 3 + 6 = 132 + 6 = 138138 x 4 + 8 = 552 + 8 = 560560 x 5 + 10 = 2800 + 10 = 2810 ? = 2810 x 6 + 12 = 16860 + 12= 16872

5. (2) : 6 x 5 4 = 2626 x 5 + 4 = 134134 x 5 4 = 666666 x 5 + 4 = 33343334 x 5 4 = 1666616666 x 5 + 4 = 83334

6. (3 ) : Total weight of (36+44) Students = (36x40+44x35)kg = 2980kgTherefore average weight of the whole class = (2980/80) kgTherefore average weight = 37.25kg

7. (3) : Total sum of 48 numbers = (50 30) (35 +40)= 1500 75= 1425Average = 1425/48= 29.68

8. (3) : Since each one of the three numbers a, b, and c is divisible by 3, the numbers can be represented as 3p,3q, and 3r, respectively, where p, q, and r are integers.The product of the three numbers is 3p3q3r=27(pqr).Since p, q, and r are integers, pqr is an integer and therefore abc is divisible by 27.9. let p/q=a then q/p=1/aa - (1/a)=21/10(a^2 -1)/a=21/1010(a^2)-10=21a10(a^2)-10-21a=010(a^2)-25a+4a-10=05a(2a-5)+2(2a-5)=05a+2=0 ; 2a-5=0

2a-5=0a=5/2

=>4(5/2)+4(2/5)(20/2)+(8/5)(100+16)/10=>58/5

10. according to the question,1/8 * 1/x = 1/12solving we get,x = 24so total capacity is,24*4*60 = 5760 lt..

In 1 minute a tap fill the tank 4 litreso,in 8 hours=(8*60)minute=480 minute a tap fill the tank (480*4)=1920 litre.according to question 1920 litre will be emptied in 8 hours.so,in 12 hours it will be emptied 2880 litre.again,the tap fill the tank 4 litre in 1 minute.so,in 12 hours=720 minutes the tap fill the tank (720*4)=2880 litreso,according to question as the two works(filling the tank & empty the tank) are going on in 12 hours,so the capacity of the tank=(2880+2880)litre=5760litre