1)Two places A and B are 600 km apart. A train leaves ‘A’ for ‘B’ and at the same time another train leaves ‘B’ for ‘A’. Both the trains meet after eight hours of starting their journey. If the train travelling from ‘A’ to ‘B’ travels 15 kmh–1 faster than the other train, what is the ratio of the speed of the slower train to the speed of the faster train?
a) 1: 2
b) 2 : 3
c) 3 : 4
d) 4 : 5
e) 3 : 5
2) Seven persons are sitting around a round table. What is the probability that three particular persons are sitting together?
a) 1/7
b) 2/7
c) 1/5
d) 2/5
e) 1/6
3) What is the probability that a number selected from numbers
1,2,3,…,30, is prime number, when each of the given numbers is equally likely to be selected?
a) 9/30
b) 8/30
c) 10/30
d) 11/30
e) 7/30
4)On a certain sum of money, after 2 years the simple interest and compound interest obtained are Rs 800 and Rs 960 respectively. What is the sum of money invested?
a) Rs 1420
b) Rs 1325
c) Rs 1000
d) Rs 1405
e) Rs 1375
5) A sum of money becomes Rs 35,280 after 2 years and Rs 37,044 after 3 years when lent on compound interest. Find the principal amount.
a) Rs 32,000
b) Rs 28,000
c) Rs 31,500
d) Rs 32,500
e) None of these
6) 1781.90÷54.20 + 456.13 – 2345.80 *0.98 = ? * 2
a) – 928
b)988
c)-876
d) -675
e)None of these
7) [√(√65536)+144] = ?
a)36
b)17
c)20
d)41
e)None of these
8) (575+7511-467+543)÷(76*0.5+675-342) = √?
a)456
b)484
c)529
d)625
e)None of these
9) (2344.65÷4.5-359)/? = 308/28
a)42
b)34
c)25
d)10
e)None of these
10) (5616÷156)×23.67 = ? ÷ 16.78
a)12388
b)14336
c)18644
d)14688
e)None of these