Q.1 In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 2. Based on the information; the total number of corns in the collection now becomes
Let the no,of Gold coins be X & non-gold coins be 3x.
As per the question-
X+10/3x = ½
2x+20 = 3x
Therefore, x= 20
Now, total no. of coins in the collection:
Q.2 A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?
Minimum no. of plants=
(32)2 – 1000
Q.3 A sum of RS. 700 has to be used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is RS. 20 less than its preceding prize, what is the least value of the prize?
A) RS. 30
B) RS. 40
C) RS. 60
D) RS. 80
Let the least value of the prize will be Rs. X
Then as per question,
X+(x+20) +(x+40) + (x+60) + (x+80) + (x+100) + (x+120)
7x + 420=700
X=280/7 = 40 Ans.
Q.4 Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?
Let the amount distribute in four friends A,B,C & D
D–? (x+1) + 3 -? (x+4)
C–? (x+4) +5 —? (x+9)
Hence, A gets the smallest amount
Q.5 A, B, C, D and E belong to five different cities P, Q, R, S and T (not necessarily in that order). Each one of them comes from a different city. Further it is given that:
1. Band C do not belong to Q.
2. Band E do not belong to P and R.
3. A and C do not belong to R, Sand T.
4. D and E do not belong to Q and T.
Which one of the following statements is not correct?
A) C belongs to P
B) D belongs to R
C) A belongs to Q
D) B belongs to S