Basic Numeracy/Quantitative Aptitude

Detailed Solution

332. 75. Solution. Since one of the integers is 5, the product of the other two is 60 (5 x 60 = 300).
Systematically, list all possible pairs, (a, b), of positive integers whose product is 60, and check their sums. First, let a =1, then 2, and so on.

333. Solution. First, write down
the numbers in the 100’s 101, 111, 121, 131, 141, that end in 1: 151, 161, 171, 181, 191
Now write the numbers 202, 212, 222, 232, 242, beginning and ending in 2: 252, 262, 272, 282, 292
By now you should see the pattern: there are 10 numbers beginning with 1, and 10 beginning with 2, and there will be 10 beginning with 3, 4, ..., 9 for a total of 9 x10 = 90 palindromes.

334. Solution. Represent the five boys as A, B, C, D, and E. Placing Charlie last, you see that the order is B __ __ __ C. Systematically fill in the blanks with A, D, and E. Write all the three letter “words” you can in alphabetical order so you don’t accidentally skip one.
A D E
A E D
D A E
D E A
E A D
E D A
There are 6 possibilities when C is last. Clearly, there will be 6 more when D is last. Therefore, there are 12 ways in all to satisfy the conditions of the problem.

335.

336. Solution. Since you can trust the chart to be accurate, the total number of electoral votes for the six states is 4 + 4 + 3 + 13 + 4 + 8 = 36
and the average is 36 _ 6 = 6 (C).

337. The definition of “_” tells you that, whenever two numbers surround a “happy face,” you are to form a fraction in which the numerator is the sum of the numbers and the denominator is their difference. Here, 25 _ 15 is the fraction whose numerator is 25 + 15 = 40 and whose denominator is 25 – 15 = 10: = 4.

1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40
41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60
61	62	63	64	65	66	67	68	69	70	71	72	73	74	75	76	77	78	79	80
81	82	83	84	85	86	87	88	89	90	91	92	93	94	95	96	97	98	99	100
101	102	103	104	105	106	107	108	109	110	111	112	113	114	115	116	117	118	119	120
121	122	123	124	125	126	127	128	129	130	131	132	133	134	135	136	137	138	139	140
141	142	143	144	145	146	147	148	149	150	151	152	153	154	155	156	157	158	159	160
161	162	163	164	165	166	167	168	169	170	171	172	173	174	175	176	177	178	179	180
181	182	183	184	185	186	187	188	189	190	191	192	193	194	195	196	197	198	199	200
201	202	203	204	205	206	207	208	209	210	211	212	213	214	215	216	217	218	219	220
221	222	223	224	225	226	227	228	229	230	231	232	233	234	235	236	237	238	239	240
241	242	243	244	245	246	247	248	249	250	251	252	253	254	255	256	257	258	259	260
261	262	263	264	265	266	267	268	269	270	271

Passage Reading Verbal Logic Non Verbal Logic Numerical Logic Data Interpretation Reasoning Analytical Ability Basic Numeracy About Us Contact Privacy Policy Major Tests FAQ

---