Our website is made possible by displaying online advertisements to our visitors. Please consider supporting us by whitelisting our website.

Mathematics Mcqs

A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?

Mathematics Mcqs, Permutations and Combinations /
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?

A. 20
B. 54
C. 42
D. 60
Explanation:
There are three ladies and five gentlemen and a committee of 5 members to be formed.
Number of ways such that two ladies are always included in the committee = ⁶C₃ = (6 * 5 * 4)/6 = 20.

A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation? Read More »

Mathematics Mcqs, Permutations and Combinations

The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.

Mathematics Mcqs, Permutations and Combinations /
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.

A. 4000
B. 2160
C. 4320
D. 5300
Explanation:
x Not younger_______ ↑
The last ball can be thrown by any of the remaining 6 players. The first 6 players can throw the ball in ⁶P₆ ways.
The required number of ways = 6(6!) = 4320

The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -. Read More »

Mathematics Mcqs, Permutations and Combinations

In how many ways can live boys and three girls sit in a row such that all boys sit together?

Mathematics Mcqs, Permutations and Combinations /
In how many ways can live boys and three girls sit in a row such that all boys sit together?

A. 4800
B. 5760
C. 2880
D. 15000
Explanation:
Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again five boys can be arranged among themselves in 5! ways.
Required number of arrangements = 4! * 5! = 24 * 120 = 2880.

In how many ways can live boys and three girls sit in a row such that all boys sit together? Read More »

Mathematics Mcqs, Permutations and Combinations

(22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = _________?

Mathematics Mcqs, Simplification and Approximation /
(22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = _________?

A. 1
B. 2
C. 69/28
D. 66/17
Explanation:
(22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = (22 * 33 * 15 + 9 * 99 * 2 * 22) / (33 * 22 * 8 + 5 * 11 * 22 * 12)
= (22 * 33 * 15 + 22 * 33 * 54) / (33 * 22 * 8 + 33 * 22 * 20) = [22 * 33(15 + 54)] / [33 * 22(8 + 20)] = 69/28

(22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = _________? Read More »

Mathematics Mcqs, Simplification and Approximation

[(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = _________?

Mathematics Mcqs, Simplification and Approximation /
[(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = _________?

A. 1 17/38
B. 1 38/17
C. 2 38/17
D. None of these
Explanation:
[(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)]
= [(6225/250) + (125/5)] / (6.75 + 12.25)
= (249/10 + 25) / 19 = 499/190 = 2 119/190

[(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = _________? Read More »

Mathematics Mcqs, Simplification and Approximation

[(523 + 27) * (187 – 35) / (424 + 16)] / [110/22 of (2 * 38)] = ______?

Mathematics Mcqs, Simplification and Approximation /
[(523 + 27) * (187 – 35) / (424 + 16)] / [110/22 of (2 * 38)] = ______?

A. 2
B. 1
C. 4
D. 3
Explanation:
[(523 + 27) * (187 – 35) / (424 + 16)] / [110/22 of (2 * 38)]
= [(550 * 152) / 440] / [(110/44) * 38]
= (5 * 38)/(5/2 * 38) = 2

[(523 + 27) * (187 – 35) / (424 + 16)] / [110/22 of (2 * 38)] = ______? Read More »

Mathematics Mcqs, Simplification and Approximation

7 + 5 – (3/2 * 1/4) of 2/7 + 7/2 * 1/6 equals ________.

Mathematics Mcqs, Simplification and Approximation /
7 + 5 – (3/2 * 1/4) of 2/7 + 7/2 * 1/6 equals ________.

A. 12 3/88
B. 24 21/24
C. 12 25/224
D. 12 1/224
Explanation:
7 + 5 – (3/2 * 1/4) of 2/7 + 7/2 * 1/16
= 7 + 5 – (3/2 * 1/4) * 2/7 + 7/2 * 1/16 = 7 + 5 – 3/28 + 7/32
= 12 + 3/28 + 7/32 = 12 + (7 * 7 – 3 * 8)/224
= 12 + 25/224 = 12 25/224

7 + 5 – (3/2 * 1/4) of 2/7 + 7/2 * 1/6 equals ________. Read More »

Mathematics Mcqs, Simplification and Approximation