1. In a shower, 5 cm of rain falls. The volume of water that falls on 2 hectares of ground, is
(a) 100 m^3
(b) 1000 m^3
(c) 10000 m^3
(d) 10 m^3
2. The LCM of two prime numbers x and y (x>y) is 161. The value (3y-x) is
(a) -2
(b) -1
(c) 1
(d) 2
3. A is thrice as good as a workman B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
(a) 20 days
(b) 221/2 days
(c) 25 days
(d) 30 days
4. 94 is divided into two parts in such a way that fifth part of the first and eighth part of the second are in the ratio 3 :4. The first part is
(a) 27
(b) 30
(c) 36
(d) 48
5. Of the three numbers, the ratio of the first and the second is 8 : 9 and that of the second and third is 3 : 4. If the product of the first and third number is 2400, then the second number is
(a) 45
(b) 40
(c) 30
(d) 35
6. In what ratio must a grocer mix teas worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
(a) 3 : 2
(b) 3 : 4
(c) 3 : 5
(d) 4 : 5
7. A boat is rowed downstream at 15.5 km/h and upstream at 8.5 km/h the speed of the stream is
(a) 3.5 km/h
(b) 5.75 km/h
(c) 6.5 km/h
(d) 7 km/h
8. A sum of money amounts to Rs. 6690 after 3 yr and to Rs. 10035 after 6 yr on compound interest. The sum is
(a) Rs. 4000
(b) Rs. 4445
(c) Rs. 4460
(d) Rs. 4520
9. If p=999, then the value of ∛(p(p^2+3p+3)+1) is
(a) 1000
(b) 999
(c) 998
(d) 1002
10. If (x+1)/x=3, then the value of (x^5+1)/x^5 is
(a) 123
(b) 126
(c) 113
(d) 129
Answer Key:
1.b
2.a
3.b
4.b
5.a
6.a
7.a
8.c
9.a
10.a
1.b
2.a
3.b
4.b
5.a
6.a
7.a
8.c
9.a
10.a
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