Splification - Quantitative Aptitude
Q31. If a/3 = b/4 = c/7, then (a+b+c)/c = ?
(a) 1
(b) 2
(c) 3
(d) 4
Answer: (b) 2
a | = | b | = | c | = k (let) |
3 | 4 | 7 |
∴ a = 3k, b = 4k, c = 7k
Now | a+b+c | = | 3k+4k+7k | = | 14k | = 2 |
c | 7k | 7k |
Q32.
(388 + 277)2 - (388 - 277)2 | = ? |
388 X 277 |
(a) 2
(b) 3
(c) 4
(d) 6
Answer: (c) 4
Here a = 388
b = 277
Given Expression = | (a + b)2 - (a - b)2 | = | 4ab | = 4 |
ab | ab |
Q33. (1 - ½ )(1 - 1/3)(1 - 1/4) ........ (1 - 1/9)(1 - 1/100) = ?
(a) 1/50
(b) 1/70
(c) 1/90
(d) 1/100
Answer: (d) 1/100
Given Expression = ½ X 2/3 X 3/4 X ...... X 98/99 X 99/100
= 1 X 1/100
= 1/100
Q34. If two-fifth of five-ninth of a number is 120, find the number
(a) 510
(b) 530
(c) 540
(d) 560
Answer: (c) 540
Let, the number be x
A/Q | 2 | X | 5 | X x = 120 |
5 | 9 |
⇒ | 2x | = 120 |
9 |
⇒ x = | 120 X 9 | = 60 X 9 = 540 |
2 |
Q35. A boy was asked to multiply a number by 25. He instead multiplied the number by 52 and got the answer 351 more than the correct answer. What was the number ?
(a) 13
(b) 15
(c) 18
(d) 22
Answer: (a) 13
Let the number be x
A/Q 52x -25x = 351
⇒ 27x = 351
⇒ x = 13
Q36. A and B together have Rs. 250, C has Rs. 125 less than what A and B together have and B has Rs. 40 more than C. How much money does A have ?
(a) 85
(b) 92
(c) 95
(d) 102
Answer: (a) 85
A + B = 250
C = A + B - 125 = 250 - 125 = 125
B = 125 + 40 = 165
Now A + B = 250
⇒ A + 165 = 250
⇒ A = 250 - 165 = 85
Q37. There are two class room A and B. If 15 students are sent from A to B, then the number of students in the rooms are equal. If 30 students are sent from B to A, then the number of students in A is double the number of students in B. How many students are there in room A ?
(a) 120
(b) 150
(c) 175
(d) 180
Answer: (b) 150
A/Q x - 15 = y + 15
⇒ x - y = 30 ------ (1)
And x + 30 = 2 (y - 30)
⇒ x + 30 = 2y - 60
⇒ x - 2y = -90 ------ (2)
(1) - (2) ⇒ y = 120
(1) ⇒ x - 120 = 30
⇒ x = 150
Q38. By how much does 5/(6/7) exceed (5/6)/7 ?
(a) 4 5/7
(b) 5 5/7
(c) 6 5/7
(d) 9 5/7
Answer: (b) 5 5/7
Required no = | 5 | - | 5/6 |
6/7 | 7 |
= | 5 X 7 | - | 5 |
6 | 6 X 7 |
= | 35 | - | 5 |
6 | 42 |
= | 35 X 7 - 5 | = | 240 | = 5 | 5 |
42 | 42 | 7 |
Q39. Each child from a certain school can make 10 items of handicraft in a day. If 1200 handicraft items are to be displayed in an exhibition, then in how many days can 20 children make these items ?
(a) 6 days
(b) 7 days
(c) 8 days
(d) 9 days
Answer: (a) 6 days
Number of items made in 1 day = 20 X 10 = 200
Requred no. of days = 1200/200 = 6 days
Q40. If a/b = 2/3 and 7a+5b = 21, then a = ?
(a) 42/29
(b) 41/23
(c) 47/21
(d) 47/23
Answer: (a) 42/29
a/b = 2/3
⇒ 3a = 2b
⇒ b = 3a/2
Now 7a + 5b = 21
⇒ 7a + 5 X 3a/2 = 21
⇒ 7a + | 15a | = 21 |
2 |
⇒ | 14a + 15a | = 21 |
2 |
⇒ | 29a | = 21 |
2 |
⇒ a = | 21 X 2 | = | 42 |
29 | 29 |
Practice Test Exam