41394.The cash price of a television is Rs. 4022. A customer paid Rs. 1500 in cash and promised to pay the remaining money in 3 monthly equal instalments at the rate of 5% per annum compound interest. What is the value of each instalment?
Rs. 926.10
Rs. 903.33
Rs. 928.30
Rs. 940.50
41395.The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10000, what is its present population?
6000
10000/144
6400
7600
41396.A certain sum of money at simple interest becomes Rs. 1062 in 2 years and Rs. 1183.50 in 3½ years. What is rate of interest per annum?
7%
6%
9%
5%
41397.If the simple interest on a sum at 4% per annum for 2 years is Rs. 80, then the compound interest on the same sum for the same period is:
Rs. 86.80
Rs. 86.10
Rs. 88.65
Rs. 81.60
41398.A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?
30
31.25
31
33
41399.A train leaves Delhi at 6.00 a.m. and reaches Agra at 10.00 a.m. Another train leaves Agra at 8.00 a.m. and reaches Delhi at 11.30 a.m. At what time do the two trains cross each other if the distance between Delhi and Agra is 200 km?
8.45 a.m.
8.56 a.m.
9.20 a.m.
9.56 a.m.
41400.How many litres of a 90% solution of concentrated acid needs to be mixed with a 75% solution of concentrated acid to get a 30 L solution of 78% concentrated acid?
24 L
22.5 L
6 L
17.5 L
41401.If x is a positive number and y = x2, then which of the following is true?
y is always more than x
x is always more than y
x is always equal to y
None of these
41402.Rajiv has a number x in his mind. He finds out that the square of x is less than x. What is the range of x?
x is more than 0
x is less than 1
x is more than 0, but less than 1
This is not possible
41409.In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together ?
120
720
4320
2160
41410.In how many different ways can the letters of the word CORPORATION be arranged so that the vowels always come together ?
810
1440
2880
50400
41411.How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?
5
10
15
20
41412.A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 women. The shortlist consists of 9 men and 6 women. In how many ways can this be done?
3,724
3,630
4,914
5,670
41413.From a pack of 52 playing cards, 4 cards are removed at random. In how many ways can the 1st place and 3rd place cards be drawn out such that both are black ?
64,974
62,252
69,447
1,592,500
41414.In how many ways can the digits 2,3,5,7 and 9 be placed to form a three-digit number so that the higher order digit is always greater than the lower order digits? (Assume digits are all different).
8
9
10
15
41415.In how many ways can 4 ladies and 4 men form two mixed doubles teams for a tennis match?
72
108
36
84
41416.In CAT entrance examination paper there are 3 sections, each containing 5 questions. A candidate has to solve 5, choosing at least one from each section. The number of ways he can choose is
2,500
2,250
2,750
3,250
41417.A boy has 4 different boxes and 5 different marbles. In how many ways can he place the marbles in the boxes such that each box has at least one marble ?
560
240
420
36
41418.A teacher was trying to form the groups of students in such a way that every group has equal number of students and that number should be a prime number. She tried for first 5 prime numbers, but on each occasion exactly one student was left behind. If t
0
2
3
4
41419.Ram buys 7 novels from a book fair. Shyam buys 8 novels from the fair, none of which is common with those bought by Ram. They decide to exchange their books one for one. In how many ways can they exchange their books for the first time ?
7!x8!
7x8!
7!x8
56
41420.In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can 10 questions be answered ?
212
266
272
312
41421.A box contains 20 tickets of identical appearance, the tickets being numbered 1, 2, 3, ….., 20. In how many ways can 3 tickets be chosen such that the numbers on the drawn tickets are in arithmetic progression ?
18
33
56
90
41422.A company could advertise about its new product in 4 magazines, 3 newspapers and 2 television channels. But in a later move it decided to give advertisements in only 2 of the magazines, one of the newspapers and one the TV channels. In how many ways can
30
36
44
None of these
41423.In how many ways can the letters of the word ERGONOMICS be rearranged such that the vowels always appear together?
6! /2!
6!*4!
7! /2!
(7! * 4!)/2!
41424.How many different four letter words can be formed (the words need not be meaningful) using the letters of the word PACIFIC such that the first letter is P and the last letter is F?
8
3
6
7!/5!
41426.In how many different ways can the letters of the word HARDWARE be arranged in such a way that the vowels always come together.
120
1080
1440
4320
720
41427.In how many ways a committee, consisting of 4 men and 10 women can be formed from 6 men and 10 women?
266
50
15
8640
none of these
41428.Out of 7 consonants and four vowels ,how many words of three consonants and 2 vowels can be formed?
210
1050
25200
21400
none of these
41429.3 books of mathematics and 5 books of physics are placed on a shelf so that the books on the same subject always remain together .The possible arrangements are .
1440
1956
720
none of these
41430.The number of possible selections of one or more questions from 8 given questions, each question having an alternative, is
28-1
38-1
48-1
none of these
41431.A five -digit number divisible by 3 is to be formed using numerals 0,1,2,3,4 and 5 without repetition. The total number of ways this can be done is
216
240
600
3125
41432.Let A be containing 10 distinct elements ,then the total number of distinct functions from A to A IS
10!
1010
210
210-1
41434.The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line is
105
115
175
185
41435.There are 5 letters and five addressed envelops. the number of ways in which all the letters can be put in wrong envelops is
119
44
59
40
41436.The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated is
960
2880
288
576
41437.At an election there are five candidates and three members to be elected , and a voter may vote for any number of candidates not greater than the number to be elected. Then the number of ways in which a voter may vote is
25
30
32
none of these
41438.There are n different books and p copies of each. the number of ways in which a selection can be made from them is
np
pn
(p+1)n -1
(n+1)p-1
41439.The sides AB, BC, CA of a triangle ABC have 3,4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is
220
204
205
195
41440.A lady gives dinner party to five guests to be selected from 9 friends .The number of ways of forming the party of 5,given that two of the friends will not attend the party together is
56
126
91
none of these
41441.Each question has four choices out of which only one is correct. A candidate has to answer four questions. The number of ways he fails to give all answers correctly, is
15
81
255
256
41442.A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
1260
210
10C6 * 6!
10C5 * 6