Aptitude Question Bank For AIEEE SSC

The Parliament can make any law for whole or any Part of India for implementing international treaties (a) with the consent of all the States (b) with the consent of majority of States (c) with the consent of the States concerned (d) without the consent of any State

In the grasslands, trees do not replace the grasses as a Part of an ecological succession because of (a)insects and fungi (b)limited sunlight and PaucitY of nutrients (c)water limits and fire (d)None of the above

Which one of the following is the correct sequence of ecosYstems in the order of decreasing productivity? (a) Oceans, lakes, grasslands,mangroves (b) Mangroves, oceans, grasslands,lakes (c) Mangroves, grasslands, lakes,oceans (d)Oceans, mangroves, lakes,grasslands

 Contour bunding is a method of soil conservation used in (a) desert margins, liable to strong wind action (b) flat piains, close to stream courses, liable to flooding (c) scrublands, liable to sPread of weed growth (d) None of the above

The Government enacted the PanchaYat Extension to Scheduled Areas (PESA) Act in 1996. Which one of the following is not identified as its objective? (a) To provide self-governance (b) To recognize traditional rights (c) To create autonomous reglons tribal areas (d) To free tribal PeoPle from exploitation ?

The Chinese travelier Yuan Chwang (Hiuen Tsang) who visited India recorded the general conditions and culture of India at that time' In this context, which of the following statements is/are correct? 1. The roads and river-routes were comPletelY immune from.* robbery. 2. As regards Punishment for offences, ordeals bY fire, water and Poison were . the instruments for determining the innocence or guilt of a person. 3. The tradesmen had to PaY duties at ferries and barrier stations. Select the correct answer using the codes given below' (a) 1 onlY (b) 2and3onlY (c) 1and3onlY (d) t, 2 an.d 3

Recombinant DNA technologr (Genetic Engineering) allows genes to be transferred 1. across different sPecies of plants 2. from animals to Plants 3. from microorganisms to higher organisms Select the correct answer using the codes given below' (a) 1 onlY (b) 2 and 3 onlY (c) 1and3onlY (d) 1, 2 and 3

With reference to the history of Indian rock-cut architecture, consider the following statements : 1. The caves at Badami are the oldest surviving rock-cut caves in India. 2. The Barabar rock-cut caves were originally made for Ajivikas by Emperor Chandragupta Maurya. 3. At Ellora, caves were made for different faiths. Which of the statements grven above is/are correct? (a) 1 only (b) 2 and 3 only (c) 3 only (d) l, 2 and 3

Which one of the following Pairs is correctly matched? Geographical Feature- Region (a) Abyssinian Plateau : Arabia (b) Atlas Mountains : North-Western Africa (c) Guiana Highlands : South-Western Africa (d) Okavango Basin : Patagonia

 Which one of the following statements is correct? (a) In India, the same Person cannot be apPointed as Governor for two or more States at the same time (b) The Judges of the High Court of the States in India are appointed by the Governor of the State just as the Judges of the Supreme Court are appointed by the President (c) No procedure has been laid down in the Constitution of India for the removal of a Governor from his/her Post (d) in the case of a Union Territory having a legislative setuP, the Chief Minister is aPPointed by the Lt. Governor on the basis of majority suppor

1. What will follow if a Money Bill is substantially amended by the Rajya Sabha? (a) The Lok Sabha may still proceed with the Bill, accePting or not accepting the recommendations of the RajYa Sabha (b) The Lok Sabha cannot consider the Bill further (c)The Lok Sabha may send the Bill to the Rajya Sabha for reconsideration (d)The President may call a joint sitting for passing the Bill 

A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does      the wheel move in one hour?       a) 6 metre        b)12 metre      c) 120 metre    d) 1200 metre Expl : Number of times wheel moves in 1 hour = 10 * 60 = 600       :. Distance moves = (600 *20) cms = 12000 cms       In metres  = 120 metre

 It takes 10 days for digging a trench of 100 m long, 50 m broad and 10 m deep.  What length of trench, 25 m broad and 15 m deep can be dug in 30 days ?       a) 400 m          b) 200 m          c) 100 m          d) 89m Expl : More days, more length (Direct)       Less breadth, more length (Indirect)       More depth, less length (Indirect       Days      10 : 30;       Breadth  25 : 50;                  : : 100 : x       Depth    15 : 10;                     :. 10 * 25* 15 * x = 30 *50 * 10 *100             x= (30*50*10*100)/10*25*15 = 400      So the required length = 400m

A piece of work can finish by a certain number of men in 100 days. If  however, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?             a)75                 b)82                 c)100               d)110  Expl: Originally let there be x men.       Less men, more days (Indirect)       :. (x-10): x : : 100 :110 or x-10/x = 100/110      or 11x-110 = 10x or x =110      So, originally there were 110 men.

Some ladies can do a piece of work in 12 days. Two times the number of such ladies will do half of that      work in :       a) 6 days          b) 4 days         c)12 days         d) 3 days Expl : Let x ladies can do the work in 12 days. More ladies, less days (Indirect)       Less work, less days (direct)       Ladies 2x : x         Work             1 : ½         2x : x , 1 : ½ : : 12 : y       :. 2x * 1*y = x* ½ *12  or y = 3      Hence the required number of days = 3

 If 96 is divided into  four parts proportional to  5, 7, 4, 8 then the smallest part is :  a) 16        b)14     c)20     d) 18 . Expl : More apples, more cost(Direct)       357 *588 : : 2499 : x       x = (588*2499)/357 = 4116 Expl : Given ratio = 5 : 7  : 4  :  8 , sum of ratio = 24      :. The smallest part = (96 *4/24) = 16

 If 96 is divided into  four parts proportional to  5, 7, 4, 8 then the smallest part is :  a) 16        b)14     c)20     d) 18 Expl : Given ratio = 5 : 7  : 4  :  8 , sum of ratio = 24      :. The smallest part = (96 *4/24) = 16

The seats in an Engineering college for Computer science, electronics and civil are in the ratio of 5 : 7 :      8. There is a proportion to increase these seats by 40%, 50% and 75% respectively. What will be the      ratio of increased seats ?     a) 2 : 3 : 4     b) 6 : 7 : 8        c) 6 : 8 :  9       d) none of these . Expl : Originally, let the number of seats for Computer science, electronics and civil       are  5x : 7x : 8x respectively.     Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x)    7x : 21x/2 : 14x = 14x : 21x : 28x = 2 : 3 : 4.

The mean proportional between 234 and 104 is :       a) 12    b) 39    c) 54    d) None of these  Expl : Required mean proportion is =    234 104 = (13*9*2*13*18)       = (13*3*4) = 156

The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at      the end of the year, each saves Rs.1600, then what is the income of P1?      a)Rs.800 b) Rs.2400 c)Rs.4000 d)3200 Expl : Let the income of P1 and P2  be Rs. 5x and Rs.4x respectively and let their      expenditures be Rs.3y and 2y respectively.      Then, 5x – 3y = 1600 …(i) and 4x – 2y = 1600 ……..(ii)      On multiplying (i) by 2, (ii) by 3 and subtracting, we get : 2x = 1600 -> x = 800      P1’s income = Rs 5*800 = Rs.4000

If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is : a) 2 :3      b) 3 :4    c)3:20           d) 20 : 3 Expl : 0.4A = 0.06B -> A/B = 0.06/0.40 = 6/40 = 3/20      :. A : B = 3 : 20

 The telephone bill of a certain establishment is party fixed and partly varies as the number of calls      consumed. When in a certain month 540 calls made the bill is Rs.1800. In another month 620 calls are      consumed then the bill becomes Rs.2040. In another month 500 units are consumed due to more      holidays. The bill for that month would be : a) Rs.1560           b) Rs.1680      c) 1840            d) Rs.1950  Expl : Let the fixed amount be Rs. X and the cost of each unit be Rs. Y.     Then, 540y + x = 1800 …. And 620y + x =  2040     On subtracting (i) from (ii), we get 80y = 240 -> y = 3     Putting y = 3 in (i) we get :     540 * 3 +  x = 1800 x = (1800-1620) = 180     . :  Fixed charges = Rs.180, Charge per unit = Rs.3.     Total charges for consuming 500 units = 180 +(500*3) = Rs.1680

 In a company 10% of male staff are same in number as 1/4th of the female staff. What is the ratio of     male staff to female staff a) 3 : 2             b) 5 : 2                        c) 2 : 1             d) 4 : 3 Expl : 10% of MS = 1/4th of FS -> 10MS/100 = 1/4FS  -> MS = 5/2 FS    :. MS/FS = 5/2 = MS : FS = 5 : 2

 The speeds of three motor bikes are in the ratio 6 : 5 : 4.  The ratio between the time taken by them to     travel the same distance is : a) 10 : 12 : 15     b) 12 : 10 : 8    c) 15 : 12: 10   d) 10 : 15 : 12  Expl :  Ratio of time taken : 1/6 :1/5 : 1/4  = 10 : 12 : 15

 The ages of Raju and Biju  are in the ratio 3:1. Fifteen years hence, the ratio will be 2:1. Their present    ages are: a) 30yrs, 10yrs             b) 45 yrs, 15yrs  c)21 yrs, 7 yrs          d) 60yrs, 20yrs Expl : Let the ages of raju and Biju is 3x and x years respectively.     Then, (3x +15)/ (x+15) = 2/1;   ->   2x + 30 = 3x + 15 -> x = 15     So Raju’s age = 3*15 = 45 and Biju’s age  = 15 years

A mixture of 85 kg contains milk and water in the ratio 27 : 7. How much more water is to be added to    get a new mixture containing milk and water in the ratio 3:1? a) 5 kg     b)6.5 kg           c) 7.5 kg          d) 8 kg Expl : Milk in 85 kg of mix = 85* (27/34) = 135/2 kg.     Water in it = 85-135/2 = 35/2 kg.     Let x kg of water be added to it.     Then, (135/2)/(35/2 + x) = 3/1;  135/(35 +2x) = 3/1;               105 + 6x = 135 ; 6x = 30; x = 5         The quantity of water to be added = 5 kg

The ratio of number of boys and girls in a class is 3 : 2.  In the 1st semester exam 20% of boys and 25%     of girls get more than or equal to 90%  marks. What percentage of students get less than 90% marks ? a) 56    b) 70    c) 78    d) 80 . Expl : Let boys =3x and girls =2x.     Number of those who get less than 90% mark  =(80% of 3x) + (75% of 2x)     =(80/100 )*3x +(75/100 *2x)  =39x/10     Required percentage = (39x/10 *1/5x *100)% = 78%.

Which of the following  ratios is greatest ? a) 7 :15            b) 15 :23          c) 17 :25          d) 21 :29 Expl : 7/15 = 0.466,            15/23 = 0.652,             17/25 = 0.68    21/29 = 0.724

If 15% of A is the same as 20% of B, then A : B  is : a) 3 : 4     b) 4 : 3             c) 17 : 16         d) 16 : 17  Expl : 15% of A I= 20 % of B =15A/100 = 20B/100 = 4/3 = 4:3

If  m : n  = 3 : 4 and n : o  = 8 : 9, then m : o is :      a) 1 :3           b) 3 :2  c) 2 : 3  d) 1 : 2 . Expl : m/n =  m/n * n/o =3/4 * 8/9 = 2/3. So m : o = 2 : 3

 If A : B  = 4 : 7 and B : C = 5 : 9 then A : B : C is :      a) 20 : 35 : 63    b) 35 : 36 : 63         c) 30 : 35 : 65  d)25 :34: 68 . Expl : A : B = 4 : 7     B : C = 5 :9  = 5*7/5 : 9 *7/5 = 7 : 63/5     A : B : C =  4 :  7 : 63/5 =  20 : 35 : 63

The least integer that is to be added to (9798 x 9792) to make it a perfect square is a. 9 - ans b. 8 c. 7 d. 6

The least number which when increased by 4, is divisible by each of the numbers 10, 15, 20 and 25, is a. 296 - ans b. 300 c. 304 d. 308

 The G.C.M and L.C.M of two numbers are 17 and 255 respectively and one of them is 51. The other number must be a. 68 b. 85 - ans c. 34 d. 87

A playground is 108 metres long and 80 metres broad. The cost of levelling the ground at Rs.5 per area is a. Rs.86.40 b. Rs.432 – ans c. Rs.2,160 d. Rs.1,080

A certain sum lent out at simple interest doubles itself in 20 years. Number of years in which this sum trebles itself at the same rate of interest is a. 30 b. 40 - ans c. 25 d. 20

An express train leaves a station A at 6.45 p.m and reaches a station B 150 km away at 10.30 p.m. Time taken by the train to reach the next station C at a distance of 160 km away from station B with the same speed is a. 4 hours - ans b. 3 hours c. 3 3/4 hours d. 4 1/2 hours

 A and B together can do a piece of work in 10 days. If A alone can do it in 15 days, then the time taken by B to do the same work alone is a. 15 days b. 20 days c. 25 days d. 30 days – ans

 A sum of money is divided into two parts in the ratio 5 : 3. If the smaller sum is Rs.384, then the total sum of money was a. Rs 1,024 – ans b. Rs. 640 c. Rs. 820

 A man purchased a pen for Rs.320. If he sold it for Rs.360, then his gain percent was a. 40% - ans b. 25% c. 12 1/2% d. 15%

 If 3 pieces of table cloth cost Rs. 112.50, then number of pieces of table cloth available for Rs.487.50 is a. 11 b. 13 c. 15 d. 17 – ans

 Ten years ago, the age of the father and the son were in the ratio 6 : 1 and 10 years hence the ratio will become 2 : 1. The present age of the father is a. 35 years b. 25 years c. 30 years d. 40 years - ans

 A book-seller buys books at a commission of 20% on the marked price. If he sells the books at the marked price, then his gain percent will be a. 20% b. 25% - ans c. 10% d. 30%

In an examination, A and B secured respectively 6/7 and 5/6 of the full marks. If A secured 10 marks more than B, then the marks obtained by A is a. 340 b. 350 c. 360 – Ans d. 370

The sale price of 2 oranges is equal to the cost price of 3 oranges. The gain percent is a. 40% b. 50% - Ans c. 25% d. 20%

The quantity of water in litres, that must be added to 12 litres of beer priced at Rs.10 a litre to reduce the price to Rs.8 a litre, is a. 3 - Ans b. 1 c. 2 d. 3.5

A man is 59 years old. His brother is 7 years older than him and his sister is 12 years younger and his brother. When his sister was 15 years old, then the man’s age was a. 27 years b. 29 years c. 15 years d. 20 years – Ans

 The product of two numbers is 432 and half of one of them is 9. Sum of the numbers is a. 9  b. 24 c. 42 d. 32

3. Simplified value of 7 + 2 x 6 ? 4 – 12 ? 6 is a. 0 b. 4 c. 10 d. 8 

When a number is divided by 56, the remainder obtained is 29. When the same number is divided by 8, then the remainder will be a. 5  b. 6 c. 2 d. 0

1. The greatest number from these numbers 3.5 ? 4, √0.64, 0.204 x 4, (0.89)2 is a. (0.89)2  b. 0.204 x 4 c. 3.5 ? 4 - Ans d. √0.64

What least number must be added to 1056, so that the sum is completely divisible by 23 ? A.  2 B.  3 C.  18 D.  21 Answer: Option A Explanation: If the number 1056 is completely divisible by 23 means, remainder should come zero. But if we divide 1056 by 23, the remainder is 2. So if 2 is added to the 1056, we get remainder 0. Therefore solution is 2

Which one of the following is not a prime number? A.  31 B.  61 C.  71 D.  91 Answer: Option D Explanation: 91 is divisible by 7. So, it is not a prime number.

 The H.C.F. of two numbers is 5 and their L.C.M. is 150. If one of the numbers is 25, then the other is: A. 30 B. 28 C. 24 D. 20 Product of two numbers = Product of their HCF and LCM. Let one number  = x = x =>  25 × x = 5 × 150 25 × x = 5 × 150 =>  x = 5 × 150 25 = 30

What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder? A. 1108 B. 1683 C. 2007 D. 3363 Solution 1 LCM of 5, 6, 7 and 8 = 840 Hence the number can be written in the form (840k + 3) which is divisible by 9. If k = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9. If k = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9. Hence 1683 is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.

What is the lowest common multiple of 12, 36 and 20? A. 160 B. 220 C. 120 D. 180 answer LCM = 2 × 2 × 3 × 1 × 3 × 5 = 180

 Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is: A. 40 B. 30 C. 20 D. 10 Answer:  Option C Let the numbers be  2 x 2 x ,  3 x 3 x  and  4 x 4 x LCM of  2 x 2 x ,  3 x 3 x  and  4 x 4 x  =  12 x 12 x 12 x = 240   ⇒ x = 240 12 = 20 12 x = 240   ⇒ x = 240 12 = 20 H.C.F of  2 x 2 x ,  3 x 3 x  and  4 x 4 x   = x = 20

What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ? A. 9800 B. 9600 C. 9400 D. 9200 Answer: Option B Greatest number of four digits = 9999 LCM of 15, 25, 40 and 75 = 600 9999 ÷ 600 = 16, remainder = 399 Hence, greatest number of four digits which is divisible by 15, 25, 40 and 75 = 9999 - 399 = 9600

Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers? A. 28 B. 40 C. 64 D. 42 Answer:  Option B Explanation: Let the numbers be  2 x 2 x  and  3 x 3 x LCM of  2 x 2 x  and  3 x 3 x   = 6 x     = 6 x      (∵ LCM of 2 and 3 is 6. Hence LCM of  2 x 2 x  and  3 x 3 x  is  6 x 6 x ) Given that LCM of  2 x 2 x  and  3 x 3 x  is 48 =>  6 x = 48 6 x = 48 =>  x = 48 6 = 8 x = 48 6 = 8 Sum of the numbers = 2 x + 3 x = 5 x = 2 x + 3 x = 5 x = 5 × 8 = 40