Groups each containing 3 boys are to be formed out of 5 boys. A, B, C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups?
A. 5
B. 6
C. 7
D. 8
Basic Arithmetic
A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
A. 300
B. 600
C. 750
D. 900
The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
A. 2/3
B. 3/5
C. 4/7
D. 5/9
E. None of these
In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?
A. 25
B. 13
C. 40
D. 30
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
A. 63
B. 511
C. 1023
D. 15
The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
A. Rs.849.40
B. Rs.877.40
C. Rs.901.60
D. Rs.815.20
E. None of these
A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
A. ⁹C₂
B. ³C₂
C. ¹⁶C₂
D. ¹²C₂
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
A. 360
B. 60
C. 300
D. 180
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
A. 60
B. 360
C. 120
D. 240
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
A. 720
B. 144
C. 120
D. 36