#120.
A wire is stretched from the top of a vertical pole standing on the level ground. The wire reaches to a point on the ground 10 feet from the foot of the pole and makes an angle of 75o with the horizontal. Find the height of the pole and the length of the wire.
A
37.32 feet
B
47.25 feet
C
30.36 feet
D
22.47 feet
Answer: 37.32 feet
#121.
From 9 friends, in how many ways can a man select a dinner party of 5 friends?
A
120
B
126
C
60
D
15, 120
Answer: 126
#122.
From a club of 12 members how many committees of 4 people each can be formed?
A
495
B
11, 880
C
48
D
47900
Answer: 495
#123.
From a club of 12 members how many ways can one fill the positions of vice president, president, secretary and treasurer of the club?
A
11, 800
B
12!
C
495
D
48
Answer: 11, 800
#124.
If 5 coins are tossed, in how many ways can they fall?
A
5
B
120
C
32
D
10
Answer: 32
#125.
A bag contains 6 black, 7 white, and 8 green balls. In how many ways can we select groups of balls where each group consists of 4 black or 4 white balls?
A
50
B
525
C
120
D
36 750
Answer: 50
#126.
A bag contains 6 black, 7 white, and 8 green balls. In how many ways can we select groups of balls where each group consists of 4 black and 4 white balls?
A
50
B
525
C
120
D
36750
Answer: 525
#127.
A bag contains 6 black, 7 white, and 8 green balls. In how many ways can we select groups of balls where each group consists of 4 black all of the same color?
A
50
B
525
C
120
D
36750
Answer: 120
#128.
A bag of 6 black, 7 white and 8 green balls. In how many ways can we select groups of balls where each group consists of 4 balls of each color?
A
36750
B
50
C
525
D
120
Answer: 36750
#129.
In how many ways can a hostess select 6 luncheon guests from 10 women, if she is to avoid having a particular two of the women together at the luncheon?
A
140
B
60
C
210
D
252
Answer: 140
#130.
From the digits (1, 2, 3, 4, 5, 6, 7), how many four different digits each can be formed, if each numbers number involves two odd and two even digits/
A
432
B
5040
C
70
D
5016
Answer: 432
#131.
What is the sum of integers from 250 to 1250?
A
750750
B
750500
C
781 875
D
31375
Answer: 750750
#132.
During the last election, the total number of votes recorded in a certain municipality was 8, 600. Had one-third of A's supporters stayed away from the polls and one-half of B's behaved likewise, A's majority would have been reduced by 200. How many votes did A and B actually received?
A
A = 2, 500 and B = 6, 100
B
A = 6, 100 and B = 2, 500
C
A = 3, 200 and B = 5, 400
D
A = 5, 400 and B = 3, 200
Answer: A = 5, 400 and B = 3, 200
#133.
Three towns are connected by a triangle of roads, all of different lengths. It is 24 km around the circuit. One of the roads is 11 km long and the longest is 11 km longer than the shortest. What is the length of the shortest of the three roads?
A
1 km
B
12 km
C
6 km
D
3 km
Answer: 1 km
#134.
Three towns are connected by a triangle of roads, all of different lengths. It is 24 km around the circuit. One of the roads is 11 km long and the longest is 11 km longer than the shortest. What is the length of the longest of the three roads?
A
12 km
B
1 km
C
11 km
D
6 km
Answer: 12 km
#135.
The number in which the name was derived from an old English endlofan
A
11
B
10
C
100
D
zero
Answer: 11
#136.
The first mathematician who proposed the four-square theorem.
A
Fermat
B
Lagrange
C
Diophantus
D
Claude-Gaspar
Answer: Diophantus
#137.
It is a number Mn of the form 2n-1, where n is a natural number.
A
Mersenne Number
B
Mersen Number
C
Merssenne Number
D
Merssene Number
Answer: Mersenne Number
#138.
A positive integers that is equal to the sum of its proper divisors.
A
Prime number
B
Perfect number
C
Economical Number
D
Taxi-Cab number
Answer: Perfect number
#139.
A ________ number is the denotation of the size of an infinite collection of objects.