Rationale: 520 = 26 * 20 = 2 * 13 * 22 * 5 = 23 * 13 * 5
Required smallest number = 2 * 13 * 5 = 130
130 is the smallest number which should be multiplied with 520 to make it a perfect squar
The answer: (E)
Question: Find the smallest number which should be multiplied with 520 to make it a perfect square.
Options:
(A) 30
(B) 120
(C) 55
(D) 35
(E) None of these
Reasoning: 90 * 10/60 = 15 kmph
Ans: (A)
Question: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Options:
(A) 15
(B) 66
(C) 88
(D) 1
(E) 12
Rationale: I got 20/(sqr2 +1) and just forgot to multiply by (sqr2 -1).
The answer: (A)
Question: Consider a quarter of a circle of radius 20. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
Options:
(A) 20*(sqr2 -1)
(B) 8*(sqr3 -1)
(C) 4*(sqr7 - 1)
(D) 12* (sqr7 -1)
(E) None of these
Reasoning: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90
The average amount with them = 90/6 = Rs. 15.
Ans: (C)
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Options:
(A) 28
(B) 27
(C) 15
(D) 19
(E) 12
Rationale: Girls = 3/5, boys are 2/5
Absentees are (2/9)*(3/5) + (1/4)*(2/5) = 7/30
Present Students are 23/30
The answer: (C)
Question: In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present ?
Options:
(A) 17/25
(B) 18/49
(C) 23/30
(D) 23/36
(E) 29/36
Rationale: I = (500*9*6)/100 = 270
The answer: (B)
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) Rs.345
(B) Rs.270
(C) Rs.275
(D) Rs.324
(E) Rs.325